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Author ID: rubin.boris Recent zbMATH articles by "Rubin, Boris"
Published as: Rubin, Boris; Rubin, B. S.; Rubin, B.
External Links: MGP
all top 5

Co-Authors

95 single-authored
7 Ournycheva, Elena
6 Nogin, Vladimir Aleksandrovich
5 Aliev, Ilham A.
5 Karapetyants, Nikolaĭ Karapetovich
4 Ólafsson, Gestur
4 Ryabogin, Dmitry
4 Wang, Yingzhan
3 Bray, William O.
3 Estrada, Ricardo
2 Agranovsky, Mark L.
2 Antipov, Yuri A.
2 Berenstein, Carlos Alberto
2 Fabrikant, Valery I.
2 Gorenflo, Rudolf
2 Grinberg, Eric Liviu
2 Karapetian, E. N.
2 McBride, Adam C.
2 Shamir, Eliyahu
1 Abanin, Aleksandr Vasil’evich
1 Avsyankin, Oleg Gennadievich
1 Babeshko, Vladimir Andreevich
1 Bachurskaya, A. F.
1 Burenkov, Viktor Ivanovich
1 Derbenev, V. A.
1 Dodokhova, G. V.
1 Erusalimskii, Yakov M.
1 Evdokimov, Aleksandr Aleksandrovich
1 Fedorenko, I. V.
1 Gol’dman, Mikhail L’vovich
1 Golubeva, V. V.
1 Govorukhina, A. A.
1 Grudsky, Sergei Mikhailovich
1 Guliyev, Vagif Sabir
1 Jørgensen, Palle E. T.
1 Karapetyants, Alekseĭ Nikolaevich
1 Karyakin, Mikhail I.
1 Kilbas, Anatoliĭ Aleksandrovich
1 Kiryakova, Virginia S.
1 Kokilashvili, Vakhtang Mikhailovich
1 Kovalenko, N. V.
1 Kusraev, Anatoly Georgievich
1 Larson, David Royal
1 Liflyand, Elijah
1 Massopust, Peter R.
1 Paradoksova, I. A.
1 Pasquale, Angela
1 Pskhu, Arsen Vladimirovich
1 Pulyaev, V. F.
1 Quinto, Eric Todd
1 Rabinovich, Vladimir Samuilovich
1 Radchenko, T. N.
1 Rogosin, Sergei V.
1 Rogozhin, V. S.
1 Rubtsov, S. E.
1 Sezer, Sinem
1 Smirnova, A. V.
1 Soldatov, Aleksandr Pavlovich
1 Spitkovsky, Ilya Matvey
1 Stepanov, Vladimir Dmitrievich
1 Tsalyuk, Z. B.
1 Umarkhadzhiev, Salaudin Musaevich
1 Umarov, Khasan Galsanovich
1 Uyhan Simten B.
1 Vakulov, Boris Grigorievich
1 Vodop’yanov, Sergeĭ Konstantinovich
1 Volodarskaya, G. F.
1 Zhang, Gaoyong
all top 5

Serials

14 Fractional Calculus & Applied Analysis
8 Soviet Mathematics. Doklady
7 Advances in Mathematics
7 Soviet Mathematics
5 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika
5 Analysis and Mathematical Physics
4 Israel Journal of Mathematics
4 Journal of Functional Analysis
4 Proceedings of the American Mathematical Society
4 Izvestiya Akademii Nauk Armyanskoi SSR. Matematika
4 The Journal of Fourier Analysis and Applications
3 Journal d’Analyse Mathématique
3 Mathematical Notes
3 Differential Equations
3 Mathematische Nachrichten
3 Mathematika
3 Transactions of the American Mathematical Society
3 Soviet Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
3 Izvestiya Severo-Kavkazskogo Nauchnogo Tsentra Vyssheĭ Shkoly. Estestvennye Nauki
3 Applied and Computational Harmonic Analysis
3 Analysis and Applications (Singapore)
2 Inverse Problems
2 Differentsial’nye Uravneniya
2 Integral Equations and Operator Theory
2 Forum Mathematicum
2 International Journal of Mathematics
2 The Journal of Geometric Analysis
2 Matematicheskiĭ Sbornik
2 Integral Transforms and Special Functions
1 Analysis Mathematica
1 Journal of Applied Mechanics
1 Journal of Mathematical Analysis and Applications
1 Rocky Mountain Journal of Mathematics
1 Studia Mathematica
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Mathematica Scandinavica
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Soobshcheniya Akademii Nauk Gruzinskoĭ SSR
1 Advances in Applied Mathematics
1 Izvestiya Akademii Nauk Armyanskoi SSR. Mekhanika
1 Mathematics of the USSR, Sbornik
1 Journal of Inverse and Ill-Posed Problems
1 Annals of Mathematics. Second Series
1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal
1 Contemporary Mathematics
1 Encyclopedia of Mathematics and Its Applications
1 Pitman Monographs and Surveys in Pure and Applied Mathematics

Publications by Year

Citations contained in zbMATH Open

109 Publications have been cited 836 times in 355 Documents Cited by Year
Fractional integrals and potentials. Zbl 0864.26004
Rubin, Boris
85
1996
Inversion formulas for the spherical Radon transform and the generalized cosine transform. Zbl 1041.44001
Rubin, Boris
37
2002
Introduction to Radon transforms. With elements of fractional calculus and harmonic analysis. Zbl 1333.44002
Rubin, Boris
35
2015
Generalizations of the Busemann-Petty problem for sections of convex bodies. Zbl 1056.52004
Rubin, Boris; Zhang, Gaoyong
32
2004
Reconstruction of functions from their integrals over \(k\)-planes. Zbl 1067.44002
Rubin, Boris
30
2004
The Calderón reproducing formula, windowed \(X\)-ray transforms, and Radon transforms in \(L^p\)-spaces. Zbl 0933.42023
Rubin, Boris
27
1998
Fractional calculus and wavelet transforms in integral geometry. Zbl 0938.42024
Rubin, Boris
23
1998
Radon transforms on affine Grassmannians. Zbl 1049.44003
Rubin, Boris
20
2004
Radon inversion on Grassmannians via Gårding-Gindikin fractional integrals. Zbl 1071.44003
Grinberg, Eric L.; Rubin, Boris
20
2004
Intersection bodies and generalized cosine transforms. Zbl 1148.44002
Rubin, Boris
18
2008
Spherical Radon transform and related wavelet transforms. Zbl 0915.44004
Rubin, Boris
17
1998
Wavelet-like transforms for admissible semi-groups; inversion formulas for potentials and Radon transforms. Zbl 1129.42018
Aliev, Ilham A.; Rubin, Boris
17
2005
On the Funk-Radon-Helgason inversion method in integral geometry. Zbl 1318.44001
Rubin, Boris
17
2013
Radon, cosine and sine transforms on real hyperbolic space. Zbl 1013.43006
Rubin, Boris
16
2002
Notes on Radon transforms in integral geometry. Zbl 1034.44002
Rubin, Boris
16
2003
Convolution-backprojection method for the \(k\)-plane transform, and Calderón’s identity for ridgelet transforms. Zbl 1042.42036
Rubin, Boris
15
2004
Inversion and characterization of the hemispherical transform. Zbl 1054.44500
Rubin, Boris
15
1999
Inversion of fractional integrals related to the spherical Radon transform. Zbl 0910.42006
Rubin, Boris
14
1998
Composite wavelet transforms: applications and perspectives. Zbl 1256.42046
Aliev, Ilham A.; Rubin, Boris; Sezer, Sinem; Uyhan Simten B.
14
2008
Riesz potentials and integral geometry in the space of rectangular matrices. Zbl 1115.44002
Rubin, Boris
13
2006
Generalized Minkowski-Funk transforms and small denominators on the sphere. Zbl 1036.42027
Rubin, Boris
13
2000
Fractional integrals and wavelet transforms associated with Blaschke-Lévy representations on the sphere. Zbl 1124.42305
Rubin, Boris
13
1999
Method of analytic continuation for the inverse spherical mean transform in constant curvature spaces. Zbl 1276.44002
Antipov, Yuri A.; Estrada, Ricardo; Rubin, Boris
12
2012
Parabolic potentials and wavelet transforms with the generalized translation. Zbl 0971.42030
Aliev, Ilham A.; Rubin, Boris
11
2001
One-dimensional representation, inversion, and certain properties of the Riesz potentials of radial functions. Zbl 0535.45008
Rubin, B. S.
11
1983
Funk, cosine, and sine transforms on Stiefel and Grassmann manifolds. Zbl 1277.44001
Rubin, B.
11
2013
The Radon transform on the Heisenberg group and the transversal Radon transform. Zbl 1241.43008
Rubin, Boris
10
2012
Radon transform of \(L^p\)-functions on the Lobachevsky space and hyperbolic wavelet transforms. Zbl 0938.44001
Berenstein, Carlos A.; Rubin, Boris
10
1999
Helgason-Marchaud inversion formulas for Radon transforms. Zbl 1002.44001
Rubin, Boris
9
2002
Comparison of volumes of convex bodies in real, complex, and quaternionic spaces. Zbl 1203.44001
Rubin, Boris
9
2010
The lower dimensional Busemann-Petty problem for bodies with the generalized axial symmetry. Zbl 1190.52007
Rubin, Boris
8
2009
Fractional integrals and weakly singular integral equations of the first kind in the \(n\)-dimensional ball. Zbl 0828.45003
Rubin, Boris
8
1994
An analogue of the Fuglede formula in integral geometry on matrix spaces. Zbl 1088.44500
Ournycheva, Elena; Rubin, Boris
8
2005
On a method for characterization and inversion of Bessel and Riesz potentials. Zbl 0644.42009
Rubin, B. S.
8
1986
Calderón’s reproducing formula and singular integral operators on a real line. Zbl 0853.42006
Rubin, Boris; Shamir, E.
8
1995
Inversion of Radon transforms using wavelet transforms generated by wavelet measures. Zbl 0959.44001
Rubin, Boris
7
1999
Analytic and group-theoretic aspects of the cosine transform. Zbl 1292.43011
Ólafsson, G.; Pasquale, A.; Rubin, B.
7
2013
Inversion formulae for the spherical mean in odd dimensions and the Euler-Poisson-Darboux equation. Zbl 1141.44002
Rubin, Boris
7
2008
Spherical harmonics associated to the Laplace-Bessel operator and generalized spherical convolutions. Zbl 1060.42020
Aliev, Ilham A.; Rubin, Boris
7
2003
Inversion of potentials in \(R^ n\) by means of Gauss-Weierstrass integrals. Zbl 0643.31010
Rubin, B. S.
7
1987
Reconstruction of functions on the sphere from their integrals over hyperplane sections. Zbl 1440.44001
Rubin, Boris
6
2019
Inversion of \(k\)-plane transforms via continuous wavelet transforms. Zbl 0912.44003
Rubin, Boris
6
1998
Semyanistyi’s integrals and Radon transforms on matrix spaces. Zbl 1268.42015
Ournycheva, Elena; Rubin, Boris
6
2008
Parabolic wavelet transforms and Lebesgue spaces of parabolic potentials. Zbl 1054.42020
Aliev, Ilham A.; Rubin, Boris
6
2002
Weighted norm inequalities for \(k\)-plane transforms. Zbl 1298.44004
Rubin, B.
5
2014
The composite cosine transform on the Stiefel manifold and generalized zeta integrals. Zbl 1129.42348
Ournycheva, Elena; Rubin, Boris
5
2006
Inversion of parabolic potentials with \(L_ p\)-densities. Zbl 0629.35004
Nogin, V. A.; Rubin, B. S.
5
1986
The spaces \({\mathfrak L}^\alpha_{p,r}({\mathbb{R}}^{n+1})\) of parabolic potentials. Zbl 0657.31017
Nogin, V. A.; Rubin, B. S.
5
1987
Null spaces of Radon transforms. Zbl 1334.44002
Estrada, Ricardo; Rubin, Boris
5
2016
The vertical slice transform on the unit sphere. Zbl 1445.44003
Rubin, Boris
4
2019
Higher-rank wavelet transforms, ridgelet transforms, and Radon transforms on the space of matrices. Zbl 1101.42019
Ólafsson, Gestur; Ournycheva, Elena; Rubin, Boris
4
2006
Composite cosine transforms. Zbl 1103.42006
Ournycheva, Elena; Rubin, Boris
4
2005
Locally controllable regularization of Abel integral equations via operator complementation. Zbl 0898.65096
Gorenflo, Rudolf; Medvedeva, T.; Rubin, Boris
4
1997
One-sided potentials, the spaces \(L^{\alpha}_{p,r}\) and the inversion of Riesz and Bessel potentials in the half-space. Zbl 0658.42018
Rubin, B. S.
4
1988
Radial Riesz potentials on the disk and fractional integration operators. Zbl 0566.45020
Karapetjanc, N. K.; Rubin, B. S.
4
1982
Difference regularization of operators of potential type in \(L_ p\)- spaces. Zbl 0714.47024
Rubin, B. S.
4
1989
Non-geodesic spherical funk transforms with one and two centers. Zbl 07244852
Agranovsky, M.; Rubin, Boris
4
2020
Radon transforms over lower-dimensional horospheres in real hyperbolic space. Zbl 1425.44002
Bray, William O.; Rubin, Boris
3
2019
New inversion formulas for Radon transforms on affine Grassmannians. Zbl 1404.44005
Rubin, Boris; Wang, Yingzhan
3
2018
On two families of Funk-type transforms. Zbl 1462.44002
Agranovsky, M.; Rubin, B.
3
2020
Erdélyi-Kober fractional integrals and Radon transforms for mutually orthogonal affine planes. Zbl 1462.44003
Rubin, Boris; Wang, Yingzhan
3
2020
Overdetermined transforms in integral geometry. Zbl 1348.44001
Rubin, B.
3
2015
New inversion formulas for the horospherical transform. Zbl 1376.44003
Rubin, Boris
3
2017
Semyanistyi fractional integrals and Radon transforms. Zbl 1288.44005
Rubin, Boris
3
2013
Totally geodesic Radon transform of \(L^p\)-functions on real hyperbolic space. Zbl 1075.44001
Berenstein, Carlos A.; Rubin, Boris
3
2004
The \(k\)-dimensional Radon transform on the \(n\)-sphere and related wavelet transforms. Zbl 0985.44005
Rubin, Boris; Ryabogin, Dmitry
3
2001
Method of mean value operators for Radon transforms in the space of matrices. Zbl 1155.44001
Ournycheva, E.; Rubin, Boris
3
2008
Description and inversion of Bessel potentials with the help of hypersingular integrals with weighted differences. Zbl 0633.47018
Rubin, B. S.
3
1986
Bounds for potentials with oscillating kernels related to the Helmholtz equation. Zbl 0723.35023
Nogin, V. A.; Rubin, B. S.
3
1990
Inversion of the horocycle transform on real hyperbolic spaces via a wavelet-like transform. Zbl 0922.43003
Bray, William O.; Rubin, Boris
3
1999
Hypersingular integrals of Marchaud type and the inversion problem for potentials. Zbl 0832.31004
Rubin, Boris
3
1994
Singular integral operators generated by wavelet transforms. Zbl 0933.42008
Ryabogin, Dmitri; Rubin, Boris
3
1999
Radon transforms and Gegenbauer-Chebyshev integrals. II: Examples. Zbl 1375.44003
Rubin, Boris
3
2017
On Radon transforms between lines and hyperplanes. Zbl 1379.44001
Rubin, Boris; Wang, Yingzhan
3
2017
On Y. Nievergelt’s inversion formula for the Radon transform. Zbl 1198.42051
Ournycheva, E.; Rubin, Boris
2
2010
Locally controllable regularization of fractional derivatives. Zbl 0815.65142
Gorenflo, Rudolf; Rubin, Boris
2
1994
The inversion of fractional integrals on a sphere. Zbl 0778.46025
Rubin, Boris
2
1992
Über Operatoren vom Potentialtyp auf einem Segment der reellen Achse. Zbl 0278.31002
Rubin, B. S.
2
1973
Gebrochene Integrale in Hölderschen Räumen mit Gewicht und Operatoren vom Potentialtyp. Zbl 0327.44005
Rubin, B. S.
2
1974
Invariant functions on Grassmannians. Zbl 1256.43003
Ólafsson, Gestur; Rubin, Boris
2
2008
Fractional integrals and Riesz poentials with radial densities in power weighted spaces. Zbl 0626.46014
Rubin, B. S.
2
1986
Description and inversion of Bessel potentials by using hypersingular integrals with weighted differences. Zbl 0658.47034
Rubin, B. S.
2
1986
On fractional integrals with limiting exponent. Zbl 0664.26003
Karapetyants, N. K.; Rubin, B. S.
2
1988
Inversion of Riesz potentials on an \(n\)-dimensional ball and its exterior. Zbl 0584.31004
Rubin, B. S.
2
1985
An imbedding theorem for the images of convolution operators on a finite interval and operators of potential type. I. Zbl 0496.45002
Rubin, B. S.
2
1982
A half-plane crack under tangential load: A complete solution. Zbl 0831.73047
Fabrikant, V. I.; Rubin, B. S.; Karapetian, E. N.
2
1995
On the determination of star bodies from their half-sections. Zbl 1375.44002
Rubin, B.
2
2017
On some inversion formulas for Riesz potentials and \(k\)-plane transforms. Zbl 1285.47052
Rubin, Boris
2
2012
The \(\lambda\)-cosine transforms with odd kernel and the hemispherical transform. Zbl 1315.44002
Rubin, Boris
2
2014
Noether theory for generalized Abel equations with real exponents. Zbl 0445.45006
Rubin, B. S.
1
1980
Radon transforms and Gegenbauer-Chebyshev integrals. I. Zbl 1382.44002
Rubin, Boris
1
2017
Singular integrals generated by zonal measures. Zbl 0980.42009
Ryabogin, Dmitry; Rubin, Boris
1
2002
Radon transforms, geometry, and wavelets. AMS special session, New Orleans, LA, USA, January 7–8, 2007 and workshop, Baton Rouge, LA, USA, January 4–5, 2007. Zbl 1143.42002
1
2008
Arithmetical properties of Gegenbauer polynomials and small denominators on the sphere (open problem). Zbl 1037.33009
Rubin, Boris
1
2000
Fractional differentiation and spherical Radon transforms. Zbl 1032.44002
Rubin, Boris
1
2000
Über Räume gebrochener Integrale auf einer geradlinigen Kontur. Zbl 0253.46062
Rubin, B. S.
1
1972
On operators of potential type in weight spaces on an arbitrary contour. Zbl 0272.47029
Rubin, B. S.
1
1972
On fractional integrals generated by Radon transforms over paraboloids. Zbl 1515.42012
Rubin, Boris
1
2023
Riesz potentials and orthogonal Radon transforms on affine Grassmannians. Zbl 1498.44003
Rubin, Boris; Wang, Yingzhan
1
2021
Radon-John transforms and spherical harmonics. Zbl 1402.44002
Estrada, Ricardo; Rubin, Boris
1
2018
On fractional integrals generated by Radon transforms over paraboloids. Zbl 1515.42012
Rubin, Boris
1
2023
Riesz potentials and orthogonal Radon transforms on affine Grassmannians. Zbl 1498.44003
Rubin, Boris; Wang, Yingzhan
1
2021
The \(\lambda \)-cosine transforms, differential operators, and Funk transforms on Stiefel and Grassmann manifolds. Zbl 1485.44003
Rubin, B.
1
2021
Non-geodesic spherical funk transforms with one and two centers. Zbl 07244852
Agranovsky, M.; Rubin, Boris
4
2020
On two families of Funk-type transforms. Zbl 1462.44002
Agranovsky, M.; Rubin, B.
3
2020
Erdélyi-Kober fractional integrals and Radon transforms for mutually orthogonal affine planes. Zbl 1462.44003
Rubin, Boris; Wang, Yingzhan
3
2020
Reconstruction of functions on the sphere from their integrals over hyperplane sections. Zbl 1440.44001
Rubin, Boris
6
2019
The vertical slice transform on the unit sphere. Zbl 1445.44003
Rubin, Boris
4
2019
Radon transforms over lower-dimensional horospheres in real hyperbolic space. Zbl 1425.44002
Bray, William O.; Rubin, Boris
3
2019
New inversion formulas for Radon transforms on affine Grassmannians. Zbl 1404.44005
Rubin, Boris; Wang, Yingzhan
3
2018
Radon-John transforms and spherical harmonics. Zbl 1402.44002
Estrada, Ricardo; Rubin, Boris
1
2018
New inversion formulas for the horospherical transform. Zbl 1376.44003
Rubin, Boris
3
2017
Radon transforms and Gegenbauer-Chebyshev integrals. II: Examples. Zbl 1375.44003
Rubin, Boris
3
2017
On Radon transforms between lines and hyperplanes. Zbl 1379.44001
Rubin, Boris; Wang, Yingzhan
3
2017
On the determination of star bodies from their half-sections. Zbl 1375.44002
Rubin, B.
2
2017
Radon transforms and Gegenbauer-Chebyshev integrals. I. Zbl 1382.44002
Rubin, Boris
1
2017
Null spaces of Radon transforms. Zbl 1334.44002
Estrada, Ricardo; Rubin, Boris
5
2016
Introduction to Radon transforms. With elements of fractional calculus and harmonic analysis. Zbl 1333.44002
Rubin, Boris
35
2015
Overdetermined transforms in integral geometry. Zbl 1348.44001
Rubin, B.
3
2015
Weighted norm inequalities for \(k\)-plane transforms. Zbl 1298.44004
Rubin, B.
5
2014
The \(\lambda\)-cosine transforms with odd kernel and the hemispherical transform. Zbl 1315.44002
Rubin, Boris
2
2014
On the Funk-Radon-Helgason inversion method in integral geometry. Zbl 1318.44001
Rubin, Boris
17
2013
Funk, cosine, and sine transforms on Stiefel and Grassmann manifolds. Zbl 1277.44001
Rubin, B.
11
2013
Analytic and group-theoretic aspects of the cosine transform. Zbl 1292.43011
Ólafsson, G.; Pasquale, A.; Rubin, B.
7
2013
Semyanistyi fractional integrals and Radon transforms. Zbl 1288.44005
Rubin, Boris
3
2013
Method of analytic continuation for the inverse spherical mean transform in constant curvature spaces. Zbl 1276.44002
Antipov, Yuri A.; Estrada, Ricardo; Rubin, Boris
12
2012
The Radon transform on the Heisenberg group and the transversal Radon transform. Zbl 1241.43008
Rubin, Boris
10
2012
On some inversion formulas for Riesz potentials and \(k\)-plane transforms. Zbl 1285.47052
Rubin, Boris
2
2012
A generalization of the Mader-Helgason inversion formulas for Radon transforms. Zbl 1281.44002
Antipov, Y. A.; Rubin, B.
1
2012
Comparison of volumes of convex bodies in real, complex, and quaternionic spaces. Zbl 1203.44001
Rubin, Boris
9
2010
On Y. Nievergelt’s inversion formula for the Radon transform. Zbl 1198.42051
Ournycheva, E.; Rubin, Boris
2
2010
The lower dimensional Busemann-Petty problem for bodies with the generalized axial symmetry. Zbl 1190.52007
Rubin, Boris
8
2009
Intersection bodies and generalized cosine transforms. Zbl 1148.44002
Rubin, Boris
18
2008
Composite wavelet transforms: applications and perspectives. Zbl 1256.42046
Aliev, Ilham A.; Rubin, Boris; Sezer, Sinem; Uyhan Simten B.
14
2008
Inversion formulae for the spherical mean in odd dimensions and the Euler-Poisson-Darboux equation. Zbl 1141.44002
Rubin, Boris
7
2008
Semyanistyi’s integrals and Radon transforms on matrix spaces. Zbl 1268.42015
Ournycheva, Elena; Rubin, Boris
6
2008
Method of mean value operators for Radon transforms in the space of matrices. Zbl 1155.44001
Ournycheva, E.; Rubin, Boris
3
2008
Invariant functions on Grassmannians. Zbl 1256.43003
Ólafsson, Gestur; Rubin, Boris
2
2008
Radon transforms, geometry, and wavelets. AMS special session, New Orleans, LA, USA, January 7–8, 2007 and workshop, Baton Rouge, LA, USA, January 4–5, 2007. Zbl 1143.42002
1
2008
Riesz potentials and integral geometry in the space of rectangular matrices. Zbl 1115.44002
Rubin, Boris
13
2006
The composite cosine transform on the Stiefel manifold and generalized zeta integrals. Zbl 1129.42348
Ournycheva, Elena; Rubin, Boris
5
2006
Higher-rank wavelet transforms, ridgelet transforms, and Radon transforms on the space of matrices. Zbl 1101.42019
Ólafsson, Gestur; Ournycheva, Elena; Rubin, Boris
4
2006
Wavelet-like transforms for admissible semi-groups; inversion formulas for potentials and Radon transforms. Zbl 1129.42018
Aliev, Ilham A.; Rubin, Boris
17
2005
An analogue of the Fuglede formula in integral geometry on matrix spaces. Zbl 1088.44500
Ournycheva, Elena; Rubin, Boris
8
2005
Composite cosine transforms. Zbl 1103.42006
Ournycheva, Elena; Rubin, Boris
4
2005
Generalizations of the Busemann-Petty problem for sections of convex bodies. Zbl 1056.52004
Rubin, Boris; Zhang, Gaoyong
32
2004
Reconstruction of functions from their integrals over \(k\)-planes. Zbl 1067.44002
Rubin, Boris
30
2004
Radon transforms on affine Grassmannians. Zbl 1049.44003
Rubin, Boris
20
2004
Radon inversion on Grassmannians via Gårding-Gindikin fractional integrals. Zbl 1071.44003
Grinberg, Eric L.; Rubin, Boris
20
2004
Convolution-backprojection method for the \(k\)-plane transform, and Calderón’s identity for ridgelet transforms. Zbl 1042.42036
Rubin, Boris
15
2004
Totally geodesic Radon transform of \(L^p\)-functions on real hyperbolic space. Zbl 1075.44001
Berenstein, Carlos A.; Rubin, Boris
3
2004
Notes on Radon transforms in integral geometry. Zbl 1034.44002
Rubin, Boris
16
2003
Spherical harmonics associated to the Laplace-Bessel operator and generalized spherical convolutions. Zbl 1060.42020
Aliev, Ilham A.; Rubin, Boris
7
2003
Inversion formulas for the spherical Radon transform and the generalized cosine transform. Zbl 1041.44001
Rubin, Boris
37
2002
Radon, cosine and sine transforms on real hyperbolic space. Zbl 1013.43006
Rubin, Boris
16
2002
Helgason-Marchaud inversion formulas for Radon transforms. Zbl 1002.44001
Rubin, Boris
9
2002
Parabolic wavelet transforms and Lebesgue spaces of parabolic potentials. Zbl 1054.42020
Aliev, Ilham A.; Rubin, Boris
6
2002
Singular integrals generated by zonal measures. Zbl 0980.42009
Ryabogin, Dmitry; Rubin, Boris
1
2002
Parabolic potentials and wavelet transforms with the generalized translation. Zbl 0971.42030
Aliev, Ilham A.; Rubin, Boris
11
2001
The \(k\)-dimensional Radon transform on the \(n\)-sphere and related wavelet transforms. Zbl 0985.44005
Rubin, Boris; Ryabogin, Dmitry
3
2001
Generalized Minkowski-Funk transforms and small denominators on the sphere. Zbl 1036.42027
Rubin, Boris
13
2000
Arithmetical properties of Gegenbauer polynomials and small denominators on the sphere (open problem). Zbl 1037.33009
Rubin, Boris
1
2000
Fractional differentiation and spherical Radon transforms. Zbl 1032.44002
Rubin, Boris
1
2000
Inversion of exponential \(k\)-plane transforms. Zbl 0973.44001
Rubin, Boris
1
2000
Inversion and characterization of the hemispherical transform. Zbl 1054.44500
Rubin, Boris
15
1999
Fractional integrals and wavelet transforms associated with Blaschke-Lévy representations on the sphere. Zbl 1124.42305
Rubin, Boris
13
1999
Radon transform of \(L^p\)-functions on the Lobachevsky space and hyperbolic wavelet transforms. Zbl 0938.44001
Berenstein, Carlos A.; Rubin, Boris
10
1999
Inversion of Radon transforms using wavelet transforms generated by wavelet measures. Zbl 0959.44001
Rubin, Boris
7
1999
Inversion of the horocycle transform on real hyperbolic spaces via a wavelet-like transform. Zbl 0922.43003
Bray, William O.; Rubin, Boris
3
1999
Singular integral operators generated by wavelet transforms. Zbl 0933.42008
Ryabogin, Dmitri; Rubin, Boris
3
1999
The Calderón reproducing formula, windowed \(X\)-ray transforms, and Radon transforms in \(L^p\)-spaces. Zbl 0933.42023
Rubin, Boris
27
1998
Fractional calculus and wavelet transforms in integral geometry. Zbl 0938.42024
Rubin, Boris
23
1998
Spherical Radon transform and related wavelet transforms. Zbl 0915.44004
Rubin, Boris
17
1998
Inversion of fractional integrals related to the spherical Radon transform. Zbl 0910.42006
Rubin, Boris
14
1998
Inversion of \(k\)-plane transforms via continuous wavelet transforms. Zbl 0912.44003
Rubin, Boris
6
1998
Locally controllable regularization of Abel integral equations via operator complementation. Zbl 0898.65096
Gorenflo, Rudolf; Medvedeva, T.; Rubin, Boris
4
1997
Continuity and invertibility of distributional multidimensional fractional integrals. Zbl 0898.46036
McBride, Adam C.; Rubin, Boris
1
1997
Fractional integrals and potentials. Zbl 0864.26004
Rubin, Boris
85
1996
Calderón’s reproducing formula and singular integral operators on a real line. Zbl 0853.42006
Rubin, Boris; Shamir, E.
8
1995
A half-plane crack under tangential load: A complete solution. Zbl 0831.73047
Fabrikant, V. I.; Rubin, B. S.; Karapetian, E. N.
2
1995
Multidimensional fractional integrals and distributions. Zbl 0837.46027
McBride, Adam C.; Rubin, Boris
1
1995
Fractional integrals and weakly singular integral equations of the first kind in the \(n\)-dimensional ball. Zbl 0828.45003
Rubin, Boris
8
1994
Hypersingular integrals of Marchaud type and the inversion problem for potentials. Zbl 0832.31004
Rubin, Boris
3
1994
Locally controllable regularization of fractional derivatives. Zbl 0815.65142
Gorenflo, Rudolf; Rubin, Boris
2
1994
External circular crack under normal load: A complete solution. Zbl 0827.73054
Fabrikant, V. I.; Rubin, B. S.; Karapetian, E. N.
1
1994
The inversion of fractional integrals on a sphere. Zbl 0778.46025
Rubin, Boris
2
1992
Bounds for potentials with oscillating kernels related to the Helmholtz equation. Zbl 0723.35023
Nogin, V. A.; Rubin, B. S.
3
1990
Difference regularization of operators of potential type in \(L_ p\)- spaces. Zbl 0714.47024
Rubin, B. S.
4
1989
Multiplier operators associated with the Cauchy problem for the wave equation. Difference regularization. Zbl 0703.35099
Rubin, B. S.
1
1989
One-sided potentials, the spaces \(L^{\alpha}_{p,r}\) and the inversion of Riesz and Bessel potentials in the half-space. Zbl 0658.42018
Rubin, B. S.
4
1988
On fractional integrals with limiting exponent. Zbl 0664.26003
Karapetyants, N. K.; Rubin, B. S.
2
1988
Inversion of potentials in \(R^ n\) by means of Gauss-Weierstrass integrals. Zbl 0643.31010
Rubin, B. S.
7
1987
The spaces \({\mathfrak L}^\alpha_{p,r}({\mathbb{R}}^{n+1})\) of parabolic potentials. Zbl 0657.31017
Nogin, V. A.; Rubin, B. S.
5
1987
On a method for characterization and inversion of Bessel and Riesz potentials. Zbl 0644.42009
Rubin, B. S.
8
1986
Inversion of parabolic potentials with \(L_ p\)-densities. Zbl 0629.35004
Nogin, V. A.; Rubin, B. S.
5
1986
Description and inversion of Bessel potentials with the help of hypersingular integrals with weighted differences. Zbl 0633.47018
Rubin, B. S.
3
1986
Fractional integrals and Riesz poentials with radial densities in power weighted spaces. Zbl 0626.46014
Rubin, B. S.
2
1986
Description and inversion of Bessel potentials by using hypersingular integrals with weighted differences. Zbl 0658.47034
Rubin, B. S.
2
1986
Inversion of Riesz potentials on an \(n\)-dimensional ball and its exterior. Zbl 0584.31004
Rubin, B. S.
2
1985
Inversion and description of parabolic potentials with \(L_ p\)- densities. Zbl 0594.47043
Nogin, V. A.; Rubin, B. S.
1
1985
...and 9 more Documents
all top 5

Cited by 362 Authors

59 Rubin, Boris
15 Aliev, Ilham A.
10 He, Jianxun
9 Estrada, Ricardo
8 Samko, Stefan Grigor’evich
7 Koldobsky, Alexander L.
6 Eryigit, Melih
6 Nogin, Vladimir Aleksandrovich
5 Bayrakci, Simten
5 Quellmalz, Michael
5 Sezer, Sinem
5 Volchkov, Vitaliĭ Vladimirovich
5 Wang, Yingzhan
5 Xiao, Jinsen
4 Abouelaz, Ahmed
4 Çobanoğlu, Selim
4 Leng, Gangsong
4 Ournycheva, Elena
4 Ray, Swagato K.
4 Sekin, Çağla
4 Selmi, Belgacem
4 Werner, Elisabeth M.
3 Agranovsky, Mark L.
3 Dann, Susanna
3 Doungmo Goufo, Emile Franc
3 Gonzalez, Fulton B.
3 Hielscher, Ralf
3 Huang, Qingzhong
3 Kakehi, Tomoyuki
3 Kumar, Ashisha
3 Li, Aijun
3 Lv, Songjun
3 Ólafsson, Gestur
3 Roy, Souvik
3 Ryabogin, Dmitry
3 Salman, Yehonatan
3 Thim, Johan
3 Vozhzhov, D. V.
3 Wang, Weidong
3 Xi, Dongmeng
3 Zhang, Genkai
3 Zhou, Jiazu
3 Zymonopoulou, Marisa
2 Antipov, Yuri A.
2 Antoine, Jean-Pierre
2 Bal, Guillaume
2 Bernig, Andreas
2 Bray, William O.
2 Casadio Tarabusi, Enrico
2 Cerutti, Rubén Alejandro
2 Ciaurri, Óscar
2 de Nápoli, Pablo Luis
2 Evcan, Sinem Sezer
2 Gadjiev, Akif Djafar oglu
2 Gouia-Zarrad, Rim
2 Guliyev, Vagif Sabir
2 Haimanko, Ori
2 Ihsane, Abdallah
2 Karasev, Denis Nikolaevich
2 Kazantsev, Sergeĭ Gavrilovich
2 Khèkalo, S. P.
2 Krishnan, Venkateswaran P.
2 Kuchment, Peter A.
2 Kunyansky, Leonid A.
2 Kwaśnicki, Mateusz
2 Li, Chao
2 Liu, Heping
2 Luchko, Yurii F.
2 Milman, Emanuel
2 Moon, Sunghwan
2 Mourou, Mohamed Ali
2 Mugisha, Stella
2 Néel, Marie-Christine
2 Penzel, Frank
2 Rafeiro, Humberto
2 Savost’yanova, Irina Mikhaĭlovna
2 Song, Futao
2 Sonoda, Sho
2 Stojanović, Mirjana N.
2 Templier, Nicolas
2 Terzioglu, Fatma
2 Trimèche, Khalifa
2 Vandergheynst, Pierre
2 Wu, Denghui
2 Yildiz, Güldane
2 Yu, Yufeng
2 Zähle, Martina
2 Zhang, Gaoyong
2 Zúñiga-Galindo, Wilson A.
1 Abardia, Judit
1 Abdel-Rehim, Entsar A.
1 Abdennadher, Ali
1 Abramyan, Anna V.
1 Alberti, Giovanni S.
1 Aliyev, Ilham
1 Allagui, Mohamed Ali
1 Allen, Mark G.
1 Ambartsoumian, Gaik
1 Amri, Besma
1 Aral, Ali
...and 262 more Authors
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Cited in 136 Serials

22 Advances in Mathematics
20 Fractional Calculus & Applied Analysis
17 Integral Transforms and Special Functions
14 Journal of Mathematical Analysis and Applications
13 Journal of Functional Analysis
13 Transactions of the American Mathematical Society
9 Applied and Computational Harmonic Analysis
9 Analysis and Mathematical Physics
7 Inverse Problems
7 Advances in Applied Mathematics
6 Israel Journal of Mathematics
6 The Journal of Fourier Analysis and Applications
6 Analysis and Applications (Singapore)
5 Proceedings of the American Mathematical Society
5 Mediterranean Journal of Mathematics
4 Journal d’Analyse Mathématique
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Integral Equations and Operator Theory
4 International Journal of Mathematics
4 Acta Mathematica Sinica. English Series
3 Journal of Mathematical Physics
3 Mathematical Notes
3 Rocky Mountain Journal of Mathematics
3 Mathematika
3 Zeitschrift für Analysis und ihre Anwendungen
3 Constructive Approximation
3 SIAM Journal on Mathematical Analysis
3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
3 Potential Analysis
3 Turkish Journal of Mathematics
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Complex Analysis and Operator Theory
3 Journal of Function Spaces
2 Applicable Analysis
2 Archiv der Mathematik
2 Duke Mathematical Journal
2 Geometriae Dedicata
2 Journal of Approximation Theory
2 Journal of Computational and Applied Mathematics
2 Journal für die Reine und Angewandte Mathematik
2 Mathematical and Computer Modelling
2 Forum Mathematicum
2 The Journal of Geometric Analysis
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Russian Mathematics
2 Journal of Mathematical Sciences (New York)
2 Mathematical Problems in Engineering
2 Positivity
2 Journal of Inequalities and Applications
2 Mathematical Inequalities & Applications
2 Hacettepe Journal of Mathematics and Statistics
2 Advances in Difference Equations
2 Inverse Problems and Imaging
2 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
1 International Journal of Modern Physics B
1 Advances in Applied Probability
1 Bulletin of the Australian Mathematical Society
1 International Journal of Engineering Science
1 Indian Journal of Pure & Applied Mathematics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Periodica Mathematica Hungarica
1 Ukrainian Mathematical Journal
1 Arkiv för Matematik
1 Applied Mathematics and Computation
1 Journal of Economic Theory
1 Journal of Mathematical Economics
1 Journal of Multivariate Analysis
1 Mathematics and Computers in Simulation
1 Mathematische Nachrichten
1 Monatshefte für Mathematik
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Pacific Journal of Mathematics
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Results in Mathematics
1 Siberian Mathematical Journal
1 Tsukuba Journal of Mathematics
1 Acta Mathematica Hungarica
1 Annals of Global Analysis and Geometry
1 Probability Theory and Related Fields
1 Journal of Complexity
1 Discrete & Computational Geometry
1 Journal of Theoretical Probability
1 SIAM Journal on Matrix Analysis and Applications
1 Journal of Integral Equations and Applications
1 Science in China. Series A
1 European Journal of Applied Mathematics
1 Applied Mathematical Modelling
1 International Journal of Computer Mathematics
1 Indagationes Mathematicae. New Series
1 Journal of Mathematical Imaging and Vision
1 St. Petersburg Mathematical Journal
1 Computational and Applied Mathematics
1 Fractals
1 Advances in Applied Clifford Algebras
1 Selecta Mathematica. New Series
1 Opuscula Mathematica
1 Applied Mathematical Finance
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Nonlinear Dynamics
...and 36 more Serials
all top 5

Cited in 49 Fields

148 Integral transforms, operational calculus (44-XX)
83 Harmonic analysis on Euclidean spaces (42-XX)
68 Real functions (26-XX)
60 Operator theory (47-XX)
56 Convex and discrete geometry (52-XX)
40 Partial differential equations (35-XX)
40 Abstract harmonic analysis (43-XX)
31 Functional analysis (46-XX)
28 Differential geometry (53-XX)
26 Numerical analysis (65-XX)
24 Integral equations (45-XX)
23 Special functions (33-XX)
11 Topological groups, Lie groups (22-XX)
11 Probability theory and stochastic processes (60-XX)
10 Number theory (11-XX)
10 Potential theory (31-XX)
10 Biology and other natural sciences (92-XX)
9 Combinatorics (05-XX)
9 Information and communication theory, circuits (94-XX)
8 Statistics (62-XX)
7 Ordinary differential equations (34-XX)
7 Approximations and expansions (41-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
6 Measure and integration (28-XX)
6 Geometry (51-XX)
5 Computer science (68-XX)
4 Several complex variables and analytic spaces (32-XX)
4 Dynamical systems and ergodic theory (37-XX)
4 Global analysis, analysis on manifolds (58-XX)
4 Mechanics of deformable solids (74-XX)
3 Functions of a complex variable (30-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
3 Fluid mechanics (76-XX)
3 Quantum theory (81-XX)
3 Statistical mechanics, structure of matter (82-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 History and biography (01-XX)
2 Algebraic geometry (14-XX)
2 Difference and functional equations (39-XX)
2 Manifolds and cell complexes (57-XX)
2 Optics, electromagnetic theory (78-XX)
1 Commutative algebra (13-XX)
1 Associative rings and algebras (16-XX)
1 Group theory and generalizations (20-XX)
1 Sequences, series, summability (40-XX)
1 General topology (54-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Relativity and gravitational theory (83-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year