Samko, Stefan G. Inversion theorems for potential-type integral transforms in \(\mathbb{R}^n\) and on \(S^{n-1}\). (English) Zbl 0924.44003 Integral Transforms Spec. Funct. 1, No. 2, 145-163 (1993). Cited in 1 ReviewCited in 45 Documents MSC: 44A15 Special integral transforms (Legendre, Hilbert, etc.) Keywords:inversion theorems; potential-type integral transforms PDF BibTeX XML Cite \textit{S. G. Samko}, Integral Transforms Spec. Funct. 1, No. 2, 145--163 (1993; Zbl 0924.44003) Full Text: DOI OpenURL References: [1] Alisultanova E.D., Inversion of the generalized Riesz potentials with symbols 91 (1991) [2] Alisultanova E.D., Inversion of some Riesz potentials with homogeneous characteristics 91 (1991) [3] Alisultanova E.D., Generalized hypersingular integrals and their application to the inversion of the potential-type operators 92 (1992) [4] DOI: 10.1512/iumj.1980.29.29044 · Zbl 0415.42011 [5] Chuvenkov A.F., Sobolev-Orlicz spaces EM,C(R) of Riesz potentials 86 (1986) [6] Emgusheva G.P., Dokl. Akad. Nauk SSSR 300 pp 277– (1988) [7] Kostetskaya G.S., Inversion of potential type operators with a characteristic having a singularity of a homogeneous type 88 (1988) [8] Kostetskaya G.S., Inversion of the potential-type operators with a difference characteristic · Zbl 0652.42003 [9] Kostetskaya G.S., Regularization of the multidimensional potential-type operators with a difference characteristic 87 (1987) [10] Kostetskaya G.S., Izv. Vuzov 87 pp 72– (1988) [11] Lizorkin P.I., Matem. Sbornik 81 pp 79– (1970) [12] Marchaud A., J. math. pures et appl. 6 pp 337– (1970) [13] Nogin V.A., Differ. Uravnen. 18 pp 1407– (1982) [14] Nogin V.A., Matem. Zametki 32 pp 315– (1982) [15] Nogin V.A., Thesis (1982) [16] Nogin V.A., Izv. Vuzov 3 pp 57– (1985) [17] Nogin V.A., Dokl. Akad. Nauk SSSR 284 pp 535– (1985) [18] Nogin V.A., Matem. Zametki 39 pp 831– (1986) [19] Nogin V.A., Izv. Vuzov 1 pp 70– (1985) [20] Nogin V.A., Inversion and characterization of hyperbolic potentials with L-densities 92 (1992) [21] Pavlov P.M., Regularization of integral equations of the first kind with a potential-type kernel on the sphere and inversion of the Riesz potentials with smooth characteristics on the sphere 86 (1986) [22] Pavlov P.M., Dokl. Akad. Nauk SSSR 276 pp 546– (1984) [23] Rubin B.S., Dokl. Akad. Nauk SSSR 279 pp 30– (1984) [24] Rubin B.S., Matem. Zametki 41 pp 34– (1987) [25] Rubin B.S., Differ. Uravnen. 22 pp 1805– (1986) [26] DOI: 10.1002/mana.19881360113 · Zbl 0658.42018 [27] DOI: 10.1002/mana.19891440111 · Zbl 0714.47024 [28] Rubin B.S., Acoustic potentials and kypersingular integrals with weighted differences (1988) [29] DOI: 10.1070/IM1976v010n05ABEH001827 · Zbl 0379.46026 [30] Samko S.G., Semin. Prikl. Matem. Tbilis. Univ. 11 pp 35– (1976) [31] Samko S.G., Izv. Akad. Nauk Arm. SSR, Matematika 12 pp 329– (1977) [32] Samko S.G., Proc. Steklov Institute of Math 2 pp 173– (1983) [33] Samko S.G., Hypersingular integrals and their application (1984) · Zbl 0577.42016 [34] Samko S.G., Nauka i Tehnika (1987) [35] Samko S.G., Hypersingular integrals and differences of a fractional order 192 pp 164– (1990) · Zbl 0788.42006 [36] Samko S.G., Proc. Intern. Conf. Nihon Univ. pp 221– (1990) [37] Samko S.G., Math, analysis and its applic. 7 pp 150– (1975) [38] Samko S.G., On a regularization of multidimensional integral equations of the first kind with type kernels (1980) [39] Samko S.G., Proc. Steklov Inst. Math 3 pp 325– (1987) [40] Samko S.G., Mat. Anal, i ego Prilozh. pp 11– (1984) [41] Stein E.M., I, Bull.Amer. Math.Soc. 67 pp 739– (1961) [42] Stein E.M., Singular integrals and differentiability properties of functions (1970) · Zbl 0207.13501 [43] Umarkhadzhiev S.M., Multidimensional integral equations of the first kind with a potential-type kernel (1981) · Zbl 0545.46019 [44] Vakulov B.G., Izv.Vuzov, Matematika 11 pp 66– (1986) [45] Vakulov B.G., Izv. Vuzov, Matematika 12 pp 68– (1987) [46] DOI: 10.1090/S0002-9947-1969-0240682-8 [47] Zavolzhenskii M.M., Inversion of some integral operators in the non-elliptic case (1990) [48] Zavolzhenskii M.M., Izv. Sev.-Kavk. Nauchn. Tsentra Vyssh. Shkoly, ser. estestv. nauk 4 pp 56– (1991) [49] Zavolzhenskii M.M., On a certain method of inversion of potential-type operators (1991) [50] Zavolzhenskii M.M., On a certain method of inversion of potential-type operators (1991) [51] Zavolzhenskii M.M., Dokl. Akad. Nauk SSSR 324 pp 638– (1992) [52] Zavolzhenskii M.M., Approximating approach to inversion of the potential-type operators with smooth characteristics (1992) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.