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LIST OF PUBLICATIONS
of Professor Dr. S.G.Samko
- General singular equation in an exceptional case
(Russian). Differentsial'nye Uravnenija 1(1965), N 8, 1108-1116
(Math.Reviews, 33, # 1765)
- General singular equation on an open contour (Russian)
(with F.D.Gahov). Abstracts of Intern. Congress of Math. (1966),
Moscow, Section 5 (Functional.Analysis), p. 41
- Reduction of certain integral equations of the
first kind in the theory of elasticity and hydrodynamics to
equations of the first kind (Russian). Prikl. matem. i mekhan.
31 (1967), N 2, 343-345
- A generalized Abel equation and an equation with Cauchy
kernel (Russian). Dokl. Akad. Nauk SSSR, 176 (1967), N 5,
1019-1022 (Math. Reviews,38 # 3704)
- A general singular equation on an open
contour and a generalized Abel equation (Russian). Dokl. Akad.
Nauk SSSR, 177 (1967), N 1, 44-47 (Math. Reviews,37 #
5631)
- To the theory of the generalized Abel integral equation
(Russian). Collection of papers "Mater. 7th and 8th nauchn. conf.
aspir. Rostov. Univ. Ser. tochn. i estestv. nauk",1968, Rostov-on-
Don, Izdat. Rostov Univ., 56-61
- The generalized Abel equation with the infinite limits
(Russian). Ibid., 160-165
- A generalized Abel equation and fractional integration
operators (Russian). Differentsial'nye Uravnenija 4 (1968),N 2,
298-314 (Math. Reviews, 37 # 3295)
- Noether's theory for the generalized
Abel integral equation (Russian). Ibid., 315-326 (Math.
Reviews, 37 # 3296)
- The general singular operator and an
integral orerator with an automorphic kernel. (Russian). Izv.
Vuzov. Matematika (1969), N 1(80), 67-77 (Math. Reviews,
40 # 3219)
- Abel's generalized equation, Fourier transform and
convolution type equations (Russian). Dokl. Akad. Nauk SSSR
187(1969), N 4, 743-746 (Transl. in Soviet Math. Dokl., vol
10(1969), N 4, 942-946 (Math. Reviews, 40 # 4713)
- The solvability in closed form of
singular integral equations (Russian). Dokl. Akad. Nauk SSSR
189(1969), N 3, 483-485 (Transl. in Soviet Math. Dokl., vol.
10(1969), N 6, 1445-1448 (Math. Reviews, 42 # 761)
- The integral modulus of continuity of
potentials with densities that are summable on the real line
with weight (Russian). Collection of papers "Math. Analysis
and Applic", (1969), Rostov-on-Don, Izdat. Rostov. Univ.,
175-184 (Math. Reviews, 44 # 7383)
- Abel's generalized integral equation on
the line (Russian). Izv. Vyssh. Uchebn. Zaved. Math., (1970), N
8, 83-93 (Math. Reviews, 43 # 840)
- A certain class of convolution type integral equations
and its application (Russian) (with N.K.Karapetiants), Dokl. Akad. Nauk SSSR, ser. matem., 193(1970),
N 5, 981-984 (Transl. in Soviet Math. Dokl. vol 11(1970),
1050-1054 (Math. Reviews, 42 # 3504)
- The index of certain classes of integral operators
(Russian) (with N.K.Karapetiants), Dokl. Akad. Nauk SSSR, ser.
matem. 194(1970), N 3, 504-507 (Transl. in Soviet Math. Dokl.,
vol. 11 (1970), N 5, 1229-1233) (Math. Reviews, 44 #
2100)
- Integral equations of the first kind with a kernel of
potential type (Russian). Proc. Conf. on Boundary value problems
(Kazan, 1969), Kazan: Izdat. Kazan. Univ., 1970, 216-220
(Math. Reviews, 51 # 6314)
- The functional equation y(x- a)-b(x) y(x) = g(x)(Russian)
(with N.K.Karapetiants). Izv. Akad. Nauk Arm. SSR, 5(1970), N 5,
441-448 (Math. Reviews, 44 # 2101)
- Operators of potential type (Russian). Dokl.
Akad. Nauk SSSR,
196(1971), N 2, 299-301 (Transl. in Soviet Math. Dokl.,
vol.12(1971), N 1, 125-128 (Math. Reviews, 42 # 8340)
- Integral equations of the first kind with
kernel of potential type (Russian). Izv. Vyssh. Uchebn. Zaved.
Mat., (1971), N 4, 78-86 (Math. Reviews, 44 # 5736)
- A certain class of potential type operators on the line
(Russian). Ibid. N 5, 92-100 (Math. Reviews, 44 # 5737)
- A certain class of convolution type integral equations
and its application (Russian) (with N.K.Karapetiants). Izv. Akad.
Nauk SSSR, ser. matem. 35(1971), N 3, 714-726 (Transl. in Math.
USSR, Izvestija, v. 5(1971), N 3, 731-744) (Math. Reviews,
44 # 3154)
- The discrete Wiener-Hopf operators with
oscillating coefficients (Russian) (with N.K. Karapetiants).
Dokl. Akad. Nauk SSSR, 200(1971), N 1, 17-20 (Transl. in Soviet
Math. Dokl., vol.12 (1971), N 5, 1303-1307 Math. Reviews,
44 # 4544)
- A certain new approach to the investigation
of singular integral equations with a shift (Russian) (with
N.K.Karapetiants). Dokl. Akad. Nauk SSSR, 202(1972), N 2, 273-276
(Transl. in Soviet Math. Dokl., vol. 13(1972), N 1, 79-83)
(Math. Reviews, 45 # 9207)
- Singular integral operators with shift on an
open contour (Russian) (with
N.K.Karapetiants).
Dokl. Akad. Nauk SSSR, 204(1972), N 3, 536-539 (Transl. in
Soviet Math. Dokl., vol. 13 (1972), N 3, 691-696)
(Math. Reviews, 46 # 7814)
- Singular integral operators on the
axis with a fractional- linear shift of Carlemanian type
and the Noether property for operators containing an
involution (Russian) (with N.K.Karapetiants). Izv. Akad. Nauk
Armyan. SSR, 7(1972), N 1, 68-77 (Math. Reviews, 46 #
733)
- A certain boundary value problem with a
shift in the theory of analytic functions (Russian) (with
N.K.Karapetiants). Izv. Vuzov. Matematika, (1972), N 11, 18-22
(Math. Reviews, 47 # 3689)
- The index of certain classes of integral
operators (Russian) (with N.K.Karapetiants). Izv. Akad. Nauk
Armyan. SSR, 8(1973), N 1, 26-40 (Math. Reviews, 48 #
9457)
- Singular integral equations with Carleman
shift in the case of discontinuous coefficients, and a study
of whether a certain class of linear operators with involution
is Noetherian (Russian) (with N.K.Karapetiants). Dokl. Akad.
Nauk SSSR, 211(1973), N 2, 281-284 (Transl. in Soviet
Math. Dokl., vol.14(1973), N 4, 1006-1011) (Math.
Reviews, 48 # 12165)
- The space Ia (Lp) of fractional
integrals, and operators of potential type (Russian). Izv.
Akad. Nauk Armyan. SSR, 7(1973), N 5, 359-383 (Math.
Reviews, 49 # 1237)
- Increment of the argument, logarithmic residue and a
generalized principle of the argument (Russian) (with F.D.Gahov
and E.I.Zverovich). Dokl. Akad. Nauk SSSR, 213(1973), N 6,
1233-1236 (Transl. in Soviet Math. Dokl., vol. 14 (1973), N 6,
1856-1860) (Math. Reviews, 48 # 11485)
- On a(t) -factorization of functions and functional
equation with a degenerate symbol (Russian) (with N.K.Karapetiants)
Izv. Severo-Kavk. Nauchn. Tsentra Vysshei Shkoly,ser. estestv.
nauk, 1(1973), N 4, 41-43
- Convolution operators and singular integral
operators with reflection (Russian) (with N.K.Karapetiants).
Trudy Tbil. Matem. Inst. Akad. Nauk Gruz. SSR, 44(1974),
100-112 (Math. Reviews, 53 # 14039)
- Boundedness of the truncation operator in in the space of
fractional integrals (Russian). Collection of papers "Math.
Analysis and its Appl.", Rostov-on-Don, Izdat. Rostov Univ., 1974,
v.5, p.16-19
- A generalized argument principle (Russian)
(with F.D.Gakhov and E.I.Zverovich). Izv. Akad. Nauk Biel. SSR,
ser. fis.-mat. nauk, (1975), N 1, 5-16 (Math. Reviews, 51
# 8428)
- Singular integral operators with Carleman shift in the
case of piece-wise continuous coefficients, I (Russian) (with
N.K.Karapetiants). Izv. Vuzov. Matematika, (1975), N 2, 43-54
(Math. Reviews, 53 # 3616)
- Singular integral operators with Carleman shift in the
case of piece-wise continuous coefficients, II (Russian) (with
N.K.Karapetiants). Ibid. N 3, 34-42 (Math. Reviews, 53 #
3616)
- Singular convolution operators with discontinuous
symbol (Russian) (with
N.K.Karapetiants).
Sibirsk. mat. Z. 16(1975), N 1, 44-61 (Math. Reviews, 51
# 6500)
- Integral equations of convolution type of the first kind
with a power kernel (Russian). Izv. Vuzov. Matematika (1975), N 4,
60-67 (Math. Reviews, 53 # 3618)
- Proof of the Babenko-Stein theorem (Russian). Izv. Vuzov.
Matematika (1975), N 5, 47-51 (Math. Reviews, 52 # 8816)
- Singular integral and integrodifferential
equations with analytic kernels (Russian). Izv. Severo-Kavk.
Tsentra Vysshei Shkoly, ser. estestv. nauk (1974), N 4, 86-94
(Math. Reviews, 55 # 6143)
- On Riesz potentials in Orlicz space (Russian) (with
A.F.Chuvenkov). Collection of papers "Math. anal. and its appl.",
(1975), vol. 7, Rostov-on-Don, Izdat. Rostov Univ., 150-156
- Singular convolution operators with a discontinuos symbol
(Russian) (with
N.K.Karapetiants). Dokl. Akad.
Nauk SSSR, 221, (1975), N 6, 1260-1263 (Transl. in Soviet
Math. Dokl., vol.16 (1975), N 2, 510-514) (Math.
Reviews, 53 # 3797)
- The spaces Lp,ra(Rn ) and hypersingular integrals
(Russian). Izv. Akad. Nauk Biel. SSR, ser. fis.-mat. nauk (1976),
N 2, 34-41) (Math. Reviews, 54 # 8270)
- Spaces of Riesz potentials (Russian). Izv. Akad.
Nauk SSSR, ser. Mat. 40(1976), N 5, 1143-1172 (Transl. in Math.
USSR Izvestija, vol. 10(1976),N 5, 1089-1117) (Math.
Reviews, 56 # 1057)
- Generalized Riesz potentials (Russian). "Seminar
Inst. Prikl.Mat. Tbil. Univ.", 11(1976), 35-44 (Math.
Reviews, 55 # 1144)
- Integral equations of the first kind with a
logarithmic kernel (Russian). Collection of papers "Metody
otobrazhenii" (1976), Groznyi, 41-69 (Math. Reviews, 58 #
17725)
- Investigation of Noether nature of linear equations with
generalized involutive operators and its applications (Russian).
(with N.K.Karapetiants), Collection of papers "Metody Teorii
Funktsii i Funkts. Anal.", Groznyi, 1976, 14-21
- Integral operators with homogeneous kernels in the
Holder H space (Russian) (with A.A.Kilbas). Dokl. Akad. Nauk
Biel. SSR, 21(1977), N 1, 5-8 (Math. Reviews, 56 #
16459)
- Spherical potentials, spherical Riesz
differentiation and their applications (Russian). Izv. Vuzov.
Matematika, (1977), N 2, 135-139 (Transl. in Soviet Math. (Izv.
VUZ)) (Math. Reviews, 58 # 2004)
- Test functions that vanish on a given set, and
division by a function (Russian). Mat. Zametki 21 (1977), N
5, 677-689 (Math. Reviews, 58 # 2256)
- Generalized Riesz potentials and hypersingular integrals,
their symbols and inversion (Russian). Dokl. Akad. Nauk SSSR,
232(1977), N 3, 528-531 (Transl. in Soviet Math. Dokl., vol.
18(1977), N 1, 97-101) (Math. Reviews, 56 # 9193)
- On the description of the image Ia(Lp) of Riesz potentials (Russian). Izv. Akad. Nauk Armyan.
SSR, Matematika, 12(1977), N 5, 329-334 (Math. Reviews,
81d: 46029)
- The spaces Lp,ra(Rn ) and
hypersingular integrals (Russian). Studia Math. (PRL),
61(1977), N 3, 193-230 (Math. Reviews, 58 # 23548)
- Discrete convolution operators with
coefficients that become almost stable(Russian) (with
N.K.Karapetiants). Mat. Zametki, 22(1977), N 3, 339-344
(Math. Reviews, 58 # 23729)
- The classes Cl (Rn ), and multipliers
in the space Ia (Lp) of Riesz potentials (Russian).
Izv. Severo-Kavk. Nauchn. Tsentra Vysshei Shkoly, ser.
estestv. nauk (1977),N 3, 13-17 (Math. Reviews, 58 #
12157)
- A study of the Noethericity of operators
with an involution of order n, and its applications
(Russian) (with N.K.Karapetiants). Izv. Vuzov. Matematika
(1977), N 11, 15-26 (Transl. in Soviet Math.(Izv.VUZ))
(Math. Reviews, 58 # 29917)
- A criterion of harmonicity of polynomials
(Russian). Differ. Uravnenia, 14(1978), N 5, 938-939 (Math.
Reviews, 58 # (Russian). Izv. Vuzov. Matematika, (1978), N 7,
73-78 (Transl. in Soviet Math. (Izv. VUZ)) (Math.
Reviews, 80e: 42008)
- On the Fourier transforms of the function
Ym (x/|x|) |x|-n - a
(Russian)` Izv. Vuzov, Matematika (1978), No 7, 73-78 (Transl. in Soviet Math. (Izv.VUZ))
- The smoothness of functions that are
representable by logarithmic potentials (Russian) (with
A.A.Kilbas). Vestnik Biel. Gos. Univ. (1978), N 1, 73-75
(Math. Reviews, 80g: 45006)
- Integral equation of the first kind with a logarithmic
kernel, II (Russian). Collection of papers "Math. Analysis and its
Appl.", Rostov-on-Don, Izdat. Rostov. Univ. (1978), 103-120
- Hypersingular integrals with homogeneous
characteristic (Russian). Trudy Inst. Prikl. Mat. Tbil. Univ.,
5-6(1978), 235-249 (Math. Reviews, 81a: 42028)
- Generalized Riesz potentials and hypersingular
integrals with homogeneous characteristics; their symbols and
inversion (Russian). Trudy Mat. Inst. Steklov, 156(1980),
157-222 (Transl. in Proc. Steklov Inst. Mat. (1983), Issue
2, 173-243) (Math. Reviews, 83a: 45004)
- A characterization of the space Ia (Lp) of Riesz
potentials in terms of derivatives of order [a] (Russian) (with
S.M.Umarkhadzhiev). Deponierted in VINITI, July 18, 1980, N
3165-80 DEP
- Description of a space of Riesz potentials in
terms of higher derivatives (Russian) (with S.M.Umarkhadzhiev).
Izv. Vuzov. Matematika (1980), N 11, 79-82 (Transl. in Soviet
Math. (Izv. VUZ)) (Math. Reviews, 81b: 46033)
- On Lp(Rn ) -convergence of hypersingular integrals with a
homogeneous characteristic (Russian) (with V.A.Nogin). Deponierted
in VINITI January 14, 1981, N 179-81
- On a regularization of multidimensional integral
equations of the first kind with potential type kernels (Russian)
(with S.M.Umarkhadziev). Deponierted in VINITI, November 28,1980,
N 5036-80 DEP
- Integral equations of the first kind with shift
(Russian). Abstracts of Int. Conf. on Funct.-Diff. Systems and
Related Topics, II, 10 May 1981, Blazejewko, Poland, Part II,
p.44-45
- On the simultaneous approximation of functions
and their Riesz derivatives (Russian) (with V.A.Nogin). Dokl.
Akad. Nauk SSSR, 261(1981), N 3, 548-550 (Transl. in Soviet
Math. Dokl., vol. 24(1981), N 3, 552-554) (Math. Reviews,
83e: 41024)
- Density in Lp(Rn ) of spaces FV of
Lizorkin type
(Russian). Matem. Zametki 31(1982), N 6, 855-865 (Math.
Reviews, 84b: 46034)
- Integral equations with analytic kernels of potential
type (Russian) (with A.L.Vasil'ev). Deponierted in VINITI July 1,
1981, N 3227-81 DEP
- Fedor Dmitrievich Gakhov (with
Vekua,N.P.; Litvinchuk,G.S.; Nikol'skii,S.M.; Rogosin,V.S.;
Simonenko I.B.; Hvedelidze, B.V.; Cherskii,Ju.I) Uspehi matem.
nauk 36 (1981), N1 (127), 193-194 (Math. Reviews, 82c:
01056)
- Convergence in Lp(Rn ) of hypersingular
integrals with a homogeneous characteristic (Russian)
(with V.A.Nogin). Collection of papers "Differ. i integr.
uravn. i ikh prilozh.", Elista (1982), Kalmyskii Univ.,
119-131 (Math. Reviews, 85g: 42020)
- Singular integrals over a sphere and the construction of
the characteristic by a symbol (Russian). Izv. Vuzov.
Matematika (1983), N 4, 28-42 (Transl. in Soviet Math. (Izv.
VUZ)) (Math. Reviews, 85f: 42027)
- Hypersingular integrals and their applications
(Russian). Rostov-on-Don, Izdad. Rostov Univ. -1984 (208 pp.)
(Math. Reviews, 87d: 42024)
- Inversion of potential type operators with a difference
radial characteristic (Russian) (with S.M.Umarkhadzhiev).
Deponierted in VINITI April 16, 1984, N 2341-84 DEP
- Description of spaces Lpa (Sn-1 ) in terms of spherical hypersingular integrals (Russian)
(with P.M.Pavlov). Dokl. Akad. Nauk SSSR, 276,(1984), N 3,
546-550 (Transl. in Soviet Math. Dokl. 29(1984), N 3, 549-553)
(Math. Reviews, 86a: 42021)
- Zygmund's estimate for a singular integral with a
rapidly decreasing power weight (Russian) (with A.Ya.Yakubov).
Izv. Vuzov. Matematika, 1984, N 12, 42-51 (Transl. in Soviet
Math. (Izv. VUZ)) (Math. Reviews, 87g: 42023)
- On a functional equation with an infinite group of shifts
(Russian) (with
S.M.Umarkhadzhiev). Collection of papers "Mat.
anal. i ego prilozh.", Groznyi, Checheno-Ingushskii Univ. (1984),
11-14
- Inversion and description of Riesz
potentials with densities in weighted Lp-spaces (Russian) (with
V.A.Nogin). Izv. Vuzov. Matematika (1985), N 1, 70-72 (Transl.
in Soviet Math. (Izv.VUZ)) (Math. Reviews, 87a: 46057)
- One- and multidimensional integral equations of the first
kind with a weak singularity in the kernel (Russian). In "Proc.
commemorative seminar on boundary value problems", Minsk (1981),
Izdad. Üniversitetskoe", 1985, 103-115
- Applications of hypersingular
integrals to multidimensional integral equations of
the first kind (Russian).(with S.M.Umarkhadzhiev). Trudy
Mat. Inst. Steklov, 172(1985), 299-312 (Transl. in Proc.
Steklov Inst. Math.,1987, Issue 3, 325-339) (Math.
Reviews, 87c: 45003)
- The coincidence of Grunwald-Letnikov
differentiation with other forms of fractional
differentiation. The periodic and the nonperiodic case
(Russian)."Reports of the extended sessions of a seminar of
I.N.Vekua Inst. Appl. Math.", Tbilisi, (1985), Tbilis. Gos.
Univ. 1, N 1, 183-186 (Math. Reviews, 87j: 26010)
- Zygmund type estimates for hypersingular
integrals (Russian) (with A.Ya.Yakubov). Deponierted in VINITI
March 19,1985, N 1966-85 DEP
- Inversion of Riesz potentials on a sphere and the
characterization of the spaces L p a (Sn-1 ) in terms of hypersingular
integrals (Russian) (with P.N.Pavlov). Deponierted in VINITI May
31, 1985, N 3800-85 DEP
- Zygmund estimate for moduli of continuity of
fractional order of a conjugate function (Russian) (with
A.Ya.Yakubov). Izv. VUZov. Matematika, (1985), N 12, 49-53
(Transl. in Soviet Math. (Izv. VUZ)) (Math. Reviews,
87f: 42027)
- Inversion of potential type operators with a difference
radial characteristic by means of hypersingular integrals with a
characteristic growing at infinity (Russian) (with
I.A.Kuvshinnikova). Deponierted in VINITI November 26, 1985,
N 8135-B85 DEP
- Equivalent normings in spaces of fractional smoothness
on a sphere (Russian) (with B.G.Vakulov). Deponierted in VINITI
December 11, 1985, N 8482-B85 DEP
- Weighted estimates of continuity moduli of fractional
integrals and the characterization of fractional integrals of
functions having a prescribed continuity modulus with a weight
(Russian) (with H.M.Murdaev). Deponierted in VINITI May 11, 1986,
N 3351-B85 DEP
- Action of fractional integrodifferentiation in weighted
generalized Holder spaces How (r) with the weight
r(x) = (x-a)m (b-x)n
(Russian) (with H.M.Murdaev). Deponierted in VINITI May 11, 1986,
N 3350-B86 DEP
- A sufficient condition for a function to belong to the
Wiener ring  (Rn ) of Fourier integrals of absolutely integrable
functions (Russian) (with G.S.Kostetskaya). Deponierted in
VINITI May 13, 1986, N 3483-B86 DEP
- A characterization of the space of Riesz potentials on a
sphere in terms of spatial potentials and hypersingular integral
(Russian) (with P.M.Pavlov). Deponierted in VINITI May 23, 1986,
N 3757-B86 DEP
- A sufficient condition for a function to belong to the
Wiener ring  (Rn ) of Fourier integrals of absolutely integrable
functions, II (Russian) (with G.S.Kostetskaya). Deponierted in
VINITI August 15, 1986, N 5801-B86 DEP
- Inversion of potential type operators with a difference
characteistic (Russian) (with G.S.Kostetskaya). Deponierted in
VINITI August 15, 1986, N 5800-B86 DEP
- Zygmund estimate for hypersingular integrals in the case
of moduli of continuity of fractional order (Russian) (with
A.Ya.Yakubov). Izv. Severo-Kavk. Nauchn. Tsentra Vysshei Shkoly,
ser. estestv. nauk, (1986), N 3, 42-47 (Math. Reviews,
88e: 42033)
- A characterization of the weighted space of Riesz
potentials in terms of higher derivatives (Russian) (with
S.M.Umarkhadzhiev). Deponierted in VINITI December 23, 1986,
N 8813-B
- Weighted Zygmund's estimate for fractional
differentiation and integration and their applications (Russian)
(with H.M.Murdaev). Trudy Mat. Inst. Steklov, 180(1987), 197-198
(Transl. in Proc. Steklov Inst. Math.,(1989), Issue 3,233-235)
- Equivalent normings in the spaces of
functions of fractional smoothness on the sphere of type Cl (Sn-1), H l(S n-1 ) (Russian) (with
B.G.Vakulov). Izv. VUZov. Matematika (1987), N 12, 68-71 (Transl.
in Soviet Math. (Izv. VUZ)) (Math. Reviews, 89b:
46051)
- Integrals and derivatives of fractional order and
some of their applications (Russian) (with A.A.Kilbas and
O.I.Marichev). Minsk, "Nauka i Tekhnika"-1987.(688pp.)
(Math. Reviews, 89a: 26009)
- A condition for the absolute integrability of
Fourier integrals (Russian) (with G.S.Kostetskaya). Izv. Vuzov.
Matematika (1988), N 3, 72-75 (Transl. in Soviet Math. (Izv.
VUZ)) (Math. Reviews, 89g: 42027)
- Equations with involutive operators and
their applications (with N.K.Karapetiants). Rostov-on-Don,
Izdat. Rostov. Univ. -1988 (190 pp.) (Math. Reviews, 92m:
47020)
- Nikolai Vasilievich Govorov. In a memory of a
scholar, friend and a teacher (with Kakichev,V.A.;
Kheifits,A.I.) Izv. Severo-Kavkaz. Nauchn. Tsentra
Vyschei Scholy. Estestv. Nauki,1988, N4, 65-70 (Math.
Reviews, 90j: 01078)
- Singular integral equations with an arbitrary
Carleman shift on an infinite line (Russian) (with A.I.Gilep).
Deponierted in VINITI February 28, 1989, N 1305-B89 DEP
- The multidimensional fractional integrodifferentiation
and the Grunwald-Letnikov approach to fractional calculus.
Proc. Intern. Conf. "Fract. Calculus and its Applic.", Tokyo,
1989, College of Engineering, Nihon Univ., 1990, 221-225
- Hypersingular integrals and differences of
fractional order (Russian). Trudy Mat. Inst. Steklov,
192(1990), 164-182 (Transl. tn Proc. Steklov Inst. Math.)
(Math. Reviews,92g: 26009)
- Fractional integrodifferentiation on the half-axis
invariant with respect to dilatation (Russian) (with
M.U.Yahshiboev). Deponierted in VINITI March 26, 1990, N 1604-B90
DEP
- Multiple fractional integrodifferentiation of local type
in the spaces Lp(R2 ) with mixed norm (Russian) (with
M.U.Yahshiboev). Deponierted in VINITI March 12, 1991, N 1074-B91
DEP
- The denseness of Lizorkin type spaces FV in the
spaces L[`p] (Rn ) with mixed norm. - Dokl.
Akad.Nauk SSSR, 1991,319,567-569 (Math. Reviews, 93b:
46061)
- Multidimensional fractional differentiation which is
invariant relative to dilatation, expressed in terms of fractional
differences (with M.U.Yakhshiboev), Deponierted in VINITI ,
December 12, 1991, 4901-B91 DEP.
- A modification of Riemann-Liouville fractional
integro-differentiation applied to functions on R1 with
arbitrary behaviour at infinity (with M.U. Yakhshiboev). Izv.
Vysch. Uchebn. Zaved., Mat., 1992, no 4, 96-99 (Math.
Reviews, 94m : 26012)
- Connections between unilateral ball potentials via
operators that are singular with respest to the radial variable
(with M.U.Yakhshiboev), Deponierted in VINITI , January 16, 1992,
172-B92.
- Inversion theorems for potential-type integral
transforms in Rn and on Sn-1 . Ïntegr. Transf. and
Special Funct.", 1 (1993), N 2, 145-163.
- Integration and differentiation to a variable fractional
order (with B.Ross) -Ïntegral transforms and special
functions", 1 (1993), N 4, 277-300.
- "Fractional Integrals and Derivatives. Theory and
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