## Rubin, Boris

Compute Distance To:
 Author ID: rubin.boris Published as: Rubin, Boris; Rubin, B. S.; Rubin, B. External Links: MGP
 Documents Indexed: 144 Publications since 1972, including 2 Books 1 Contribution as Editor · 1 Further Contribution Reviewing Activity: 414 Reviews Co-Authors: 29 Co-Authors with 54 Joint Publications 697 Co-Co-Authors
all top 5

### Co-Authors

 92 single-authored 7 Ournycheva, Elena 6 Nogin, Vladimir Aleksandrovich 5 Aliev, Ilham A. 5 Karapetyants, Nikolai K. 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 Babeshko, Vladimir Andreevich 1 Bachurskaya, A. F. 1 Derbenev, V. A. 1 Dodokhova, G. V. 1 Evdokimov, Aleksandr Aleksandrovich 1 Fedorenko, I. V. 1 Golubeva, V. V. 1 Govorukhina, A. A. 1 Grudsky, Sergei Mikhailovich 1 Jørgensen, Palle E. T. 1 Kilbas, Anatoliĭ Aleksandrovich 1 Kiryakova, Virginia S. 1 Kovalenko, N. V. 1 Larson, David Royal 1 Massopust, Peter R. 1 Paradoksova, I. A. 1 Pasquale, Angela 1 Pulyaev, V. F. 1 Quinto, Eric Todd 1 Radchenko, T. N. 1 Rogozhin, V. S. 1 Rubtsov, S. E. 1 Sezer, Sinem 1 Smirnova, A. V. 1 Tsalyuk, Z. B. 1 Uyhan Simten B. 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 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 4 Analysis and Mathematical Physics 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 2 Inverse Problems 2 Differentsial’nye Uravneniya 2 Integral Equations and Operator Theory 2 International Journal of Mathematics 2 The Journal of Geometric Analysis 2 Matematicheskiĭ Sbornik 2 Integral Transforms and Special Functions 2 Analysis and Applications (Singapore) 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 Forum Mathematicum 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 Contemporary Mathematics 1 Encyclopedia of Mathematics and Its Applications 1 Pitman Monographs and Surveys in Pure and Applied Mathematics
all top 5

### Fields

 79 Integral transforms, operational calculus (44-XX) 47 Harmonic analysis on Euclidean spaces (42-XX) 42 Operator theory (47-XX) 37 Real functions (26-XX) 27 Integral equations (45-XX) 16 Functional analysis (46-XX) 15 Potential theory (31-XX) 13 Partial differential equations (35-XX) 12 Convex and discrete geometry (52-XX) 9 Abstract harmonic analysis (43-XX) 9 Numerical analysis (65-XX) 5 Differential geometry (53-XX) 5 Biology and other natural sciences (92-XX) 4 Special functions (33-XX) 3 Algebraic geometry (14-XX) 3 Topological groups, Lie groups (22-XX) 3 Mechanics of deformable solids (74-XX) 2 General and overarching topics; collections (00-XX) 2 Number theory (11-XX) 2 Measure and integration (28-XX) 2 Geometry (51-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 History and biography (01-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Probability theory and stochastic processes (60-XX) 1 Astronomy and astrophysics (85-XX)

### Citations contained in zbMATH Open

103 Publications have been cited 747 times in 314 Documents Cited by Year
Fractional integrals and potentials. Zbl 0864.26004
Rubin, Boris
1996
Inversion formulas for the spherical Radon transform and the generalized cosine transform. Zbl 1041.44001
Rubin, Boris
2002
Generalizations of the Busemann-Petty problem for sections of convex bodies. Zbl 1056.52004
Rubin, Boris; Zhang, Gaoyong
2004
Introduction to Radon transforms. With elements of fractional calculus and harmonic analysis. Zbl 1333.44002
Rubin, Boris
2015
Reconstruction of functions from their integrals over $$k$$-planes. Zbl 1067.44002
Rubin, Boris
2004
The Calderón reproducing formula, windowed $$X$$-ray transforms, and Radon transforms in $$L^p$$-spaces. Zbl 0933.42023
Rubin, Boris
1998
Fractional calculus and wavelet transforms in integral geometry. Zbl 0938.42024
Rubin, Boris
1998
Radon transforms on affine Grassmannians. Zbl 1049.44003
Rubin, Boris
2004
Radon inversion on Grassmannians via Gårding-Gindikin fractional integrals. Zbl 1071.44003
Grinberg, Eric L.; Rubin, Boris
2004
Intersection bodies and generalized cosine transforms. Zbl 1148.44002
Rubin, Boris
2008
On the Funk-Radon-Helgason inversion method in integral geometry. Zbl 1318.44001
Rubin, Boris
2013
Spherical Radon transform and related wavelet transforms. Zbl 0915.44004
Rubin, Boris
1998
Notes on Radon transforms in integral geometry. Zbl 1034.44002
Rubin, Boris
2003
Radon, cosine and sine transforms on real hyperbolic space. Zbl 1013.43006
Rubin, Boris
2002
Convolution-backprojection method for the $$k$$-plane transform, and Calderón’s identity for ridgelet transforms. Zbl 1042.42036
Rubin, Boris
2004
Inversion and characterization of the hemispherical transform. Zbl 1054.44500
Rubin, Boris
1999
Wavelet-like transforms for admissible semi-groups; inversion formulas for potentials and Radon transforms. Zbl 1129.42018
Aliev, Ilham A.; Rubin, Boris
2005
Inversion of fractional integrals related to the spherical Radon transform. Zbl 0910.42006
Rubin, Boris
1998
Fractional integrals and wavelet transforms associated with Blaschke-Lévy representations on the sphere. Zbl 1124.42305
Rubin, Boris
1999
Riesz potentials and integral geometry in the space of rectangular matrices. Zbl 1115.44002
Rubin, Boris
2006
Generalized Minkowski-Funk transforms and small denominators on the sphere. Zbl 1036.42027
Rubin, Boris
2000
Composite wavelet transforms: applications and perspectives. Zbl 1256.42046
Aliev, Ilham A.; Rubin, Boris; Sezer, Sinem; Uyhan Simten B.
2008
Method of analytic continuation for the inverse spherical mean transform in constant curvature spaces. Zbl 1276.44002
Antipov, Yuri A.; Estrada, Ricardo; Rubin, Boris
2012
Radon transform of $$L^p$$-functions on the Lobachevsky space and hyperbolic wavelet transforms. Zbl 0938.44001
Berenstein, Carlos A.; Rubin, Boris
1999
Parabolic potentials and wavelet transforms with the generalized translation. Zbl 0971.42030
Aliev, Ilham A.; Rubin, Boris
2001
Comparison of volumes of convex bodies in real, complex, and quaternionic spaces. Zbl 1203.44001
Rubin, Boris
2010
Funk, cosine, and sine transforms on Stiefel and Grassmann manifolds. Zbl 1277.44001
Rubin, B.
2013
The Radon transform on the Heisenberg group and the transversal Radon transform. Zbl 1241.43008
Rubin, Boris
2012
Helgason-Marchaud inversion formulas for Radon transforms. Zbl 1002.44001
Rubin, Boris
2002
The lower dimensional Busemann-Petty problem for bodies with the generalized axial symmetry. Zbl 1190.52007
Rubin, Boris
2009
One-dimensional representation, inversion, and certain properties of the Riesz potentials of radial functions. Zbl 0535.45008
Rubin, B. S.
1983
An analogue of the Fuglede formula in integral geometry on matrix spaces. Zbl 1088.44500
Ournycheva, Elena; Rubin, Boris
2005
Inversion of Radon transforms using wavelet transforms generated by wavelet measures. Zbl 0959.44001
Rubin, Boris
1999
On a method for characterization and inversion of Bessel and Riesz potentials. Zbl 0644.42009
Rubin, B. S.
1986
Calderón’s reproducing formula and singular integral operators on a real line. Zbl 0853.42006
Rubin, Boris; Shamir, E.
1995
Analytic and group-theoretic aspects of the cosine transform. Zbl 1292.43011
Ólafsson, G.; Pasquale, A.; Rubin, B.
2013
Inversion of $$k$$-plane transforms via continuous wavelet transforms. Zbl 0912.44003
Rubin, Boris
1998
Inversion of potentials in $$R^ n$$ by means of Gauss-Weierstrass integrals. Zbl 0643.31010
Rubin, B. S.
1987
The composite cosine transform on the Stiefel manifold and generalized zeta integrals. Zbl 1129.42348
Ournycheva, Elena; Rubin, Boris
2006
Inversion formulae for the spherical mean in odd dimensions and the Euler-Poisson-Darboux equation. Zbl 1141.44002
Rubin, Boris
2008
Fractional integrals and weakly singular integral equations of the first kind in the $$n$$-dimensional ball. Zbl 0828.45003
Rubin, Boris
1994
Semyanistyi’s integrals and Radon transforms on matrix spaces. Zbl 1268.42015
Ournycheva, Elena; Rubin, Boris
2008
Higher-rank wavelet transforms, ridgelet transforms, and Radon transforms on the space of matrices. Zbl 1101.42019
Ólafsson, Gestur; Ournycheva, Elena; Rubin, Boris
2006
Composite cosine transforms. Zbl 1103.42006
Ournycheva, Elena; Rubin, Boris
2005
Weighted norm inequalities for $$k$$-plane transforms. Zbl 1298.44004
Rubin, B.
2014
Difference regularization of operators of potential type in $$L_ p$$- spaces. Zbl 0714.47024
Rubin, B. S.
1989
Locally controllable regularization of Abel integral equations via operator complementation. Zbl 0898.65096
Gorenflo, Rudolf; Medvedeva, T.; Rubin, Boris
1997
Parabolic wavelet transforms and Lebesgue spaces of parabolic potentials. Zbl 1054.42020
Aliev, Ilham A.; Rubin, Boris
2002
The spaces $${\mathfrak L}^\alpha_{p,r}({\mathbb{R}}^{n+1})$$ of parabolic potentials. Zbl 0657.31017
Nogin, V. A.; Rubin, B. S.
1987
Null spaces of Radon transforms. Zbl 1334.44002
2016
Reconstruction of functions on the sphere from their integrals over hyperplane sections. Zbl 1440.44001
Rubin, Boris
2019
Overdetermined transforms in integral geometry. Zbl 1348.44001
Rubin, B.
2015
Bounds for potentials with oscillating kernels related to the Helmholtz equation. Zbl 0723.35023
Nogin, V. A.; Rubin, B. S.
1990
Semyanistyi fractional integrals and Radon transforms. Zbl 1288.44005
Rubin, Boris
2013
Spherical harmonics associated to the Laplace-Bessel operator and generalized spherical convolutions. Zbl 1060.42020
Aliev, Ilham A.; Rubin, Boris
2003
The $$k$$-dimensional Radon transform on the $$n$$-sphere and related wavelet transforms. Zbl 0985.44005
Rubin, Boris; Ryabogin, Dmitry
2001
Radial Riesz potentials on the disk and fractional integration operators. Zbl 0566.45020
Karapetjanc, N. K.; Rubin, B. S.
1982
Totally geodesic Radon transform of $$L^p$$-functions on real hyperbolic space. Zbl 1075.44001
Berenstein, Carlos A.; Rubin, Boris
2004
Description and inversion of Bessel potentials with the help of hypersingular integrals with weighted differences. Zbl 0633.47018
Rubin, B. S.
1986
Inversion of the horocycle transform on real hyperbolic spaces via a wavelet-like transform. Zbl 0922.43003
Bray, William O.; Rubin, Boris
1999
Singular integral operators generated by wavelet transforms. Zbl 0933.42008
Ryabogin, Dmitri; Rubin, Boris
1999
Inversion of parabolic potentials with $$L_ p$$-densities. Zbl 0629.35004
Nogin, V. A.; Rubin, B. S.
1986
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.
1988
Method of mean value operators for Radon transforms in the space of matrices. Zbl 1155.44001
Ournycheva, E.; Rubin, Boris
2008
Hypersingular integrals of Marchaud type and the inversion problem for potentials. Zbl 0832.31004
Rubin, Boris
1994
Non-geodesic spherical funk transforms with one and two centers. Zbl 07244852
Agranovsky, M.; Rubin, Boris
2020
Radon transforms and Gegenbauer-Chebyshev integrals. II: Examples. Zbl 1375.44003
Rubin, Boris
2017
On Radon transforms between lines and hyperplanes. Zbl 1379.44001
Rubin, Boris; Wang, Yingzhan
2017
Über Operatoren vom Potentialtyp auf einem Segment der reellen Achse. Zbl 0278.31002
Rubin, B. S.
1973
Invariant functions on Grassmannians. Zbl 1256.43003
Ólafsson, Gestur; Rubin, Boris
2008
Locally controllable regularization of fractional derivatives. Zbl 0815.65142
Gorenflo, Rudolf; Rubin, Boris
1994
On Y. Nievergelt’s inversion formula for the Radon transform. Zbl 1198.42051
Ournycheva, E.; Rubin, Boris
2010
Fractional integrals and Riesz poentials with radial densities in power weighted spaces. Zbl 0626.46014
Rubin, B. S.
1986
Description and inversion of Bessel potentials by using hypersingular integrals with weighted differences. Zbl 0658.47034
Rubin, B. S.
1986
On fractional integrals with limiting exponent. Zbl 0664.26003
Karapetyants, N. K.; Rubin, B. S.
1988
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.
1982
The $$\lambda$$-cosine transforms with odd kernel and the hemispherical transform. Zbl 1315.44002
Rubin, Boris
2014
The inversion of fractional integrals on a sphere. Zbl 0778.46025
Rubin, Boris
1992
Gebrochene Integrale in Hölderschen Räumen mit Gewicht und Operatoren vom Potentialtyp. Zbl 0327.44005
Rubin, B. S.
1974
New inversion formulas for Radon transforms on affine Grassmannians. Zbl 1404.44005
Rubin, Boris; Wang, Yingzhan
2018
On the determination of star bodies from their half-sections. Zbl 1375.44002
Rubin, B.
2017
On two families of Funk-type transforms. Zbl 1462.44002
Agranovsky, M.; Rubin, B.
2020
Radon transforms over lower-dimensional horospheres in real hyperbolic space. Zbl 1425.44002
Bray, William O.; Rubin, Boris
2019
New inversion formulas for the horospherical transform. Zbl 1376.44003
Rubin, Boris
2017
The vertical slice transform on the unit sphere. Zbl 1445.44003
Rubin, Boris
2019
Inversion of exponential $$k$$-plane transforms. Zbl 0973.44001
Rubin, Boris
2000
On operators of potential type in weight spaces on an arbitrary contour. Zbl 0272.47029
Rubin, B. S.
1972
Singular integrals generated by zonal measures. Zbl 0980.42009
Ryabogin, Dmitry; Rubin, Boris
2002
Noether theory for generalized Abel equations with real exponents. Zbl 0445.45006
Rubin, B. S.
1980
Continuity and invertibility of distributional multidimensional fractional integrals. Zbl 0898.46036
1997
Arithmetical properties of Gegenbauer polynomials and small denominators on the sphere (open problem). Zbl 1037.33009
Rubin, Boris
2000
Fractional differentiation and spherical Radon transforms. Zbl 1032.44002
Rubin, Boris
2000
Inversion and description of parabolic potentials with $$L_ p$$- densities. Zbl 0594.47043
Nogin, V. A.; Rubin, B. S.
1985
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
2008
External circular crack under normal load: A complete solution. Zbl 0827.73054
Fabrikant, V. I.; Rubin, B. S.; Karapetian, E. N.
1994
A half-plane crack under tangential load: A complete solution. Zbl 0831.73047
Fabrikant, V. I.; Rubin, B. S.; Karapetian, E. N.
1995
Multidimensional fractional integrals and distributions. Zbl 0837.46027
1995
Erdélyi-Kober fractional integrals and Radon transforms for mutually orthogonal affine planes. Zbl 1462.44003
Rubin, Boris; Wang, Yingzhan
2020
On some inversion formulas for Riesz potentials and $$k$$-plane transforms. Zbl 1285.47052
Rubin, Boris
2012
A generalization of the Mader-Helgason inversion formulas for Radon transforms. Zbl 1281.44002
Antipov, Y. A.; Rubin, B.
2012
The $$\lambda$$-cosine transforms, differential operators, and Funk transforms on Stiefel and Grassmann manifolds. Zbl 07415192
Rubin, B.
2021
Non-geodesic spherical funk transforms with one and two centers. Zbl 07244852
Agranovsky, M.; Rubin, Boris
2020
On two families of Funk-type transforms. Zbl 1462.44002
Agranovsky, M.; Rubin, B.
2020
Erdélyi-Kober fractional integrals and Radon transforms for mutually orthogonal affine planes. Zbl 1462.44003
Rubin, Boris; Wang, Yingzhan
2020
Reconstruction of functions on the sphere from their integrals over hyperplane sections. Zbl 1440.44001
Rubin, Boris
2019
Radon transforms over lower-dimensional horospheres in real hyperbolic space. Zbl 1425.44002
Bray, William O.; Rubin, Boris
2019
The vertical slice transform on the unit sphere. Zbl 1445.44003
Rubin, Boris
2019
New inversion formulas for Radon transforms on affine Grassmannians. Zbl 1404.44005
Rubin, Boris; Wang, Yingzhan
2018
Radon-John transforms and spherical harmonics. Zbl 1402.44002
2018
Radon transforms and Gegenbauer-Chebyshev integrals. II: Examples. Zbl 1375.44003
Rubin, Boris
2017
On Radon transforms between lines and hyperplanes. Zbl 1379.44001
Rubin, Boris; Wang, Yingzhan
2017
On the determination of star bodies from their half-sections. Zbl 1375.44002
Rubin, B.
2017
New inversion formulas for the horospherical transform. Zbl 1376.44003
Rubin, Boris
2017
Radon transforms and Gegenbauer-Chebyshev integrals. I. Zbl 1382.44002
Rubin, Boris
2017
Null spaces of Radon transforms. Zbl 1334.44002
2016
Introduction to Radon transforms. With elements of fractional calculus and harmonic analysis. Zbl 1333.44002
Rubin, Boris
2015
Overdetermined transforms in integral geometry. Zbl 1348.44001
Rubin, B.
2015
Weighted norm inequalities for $$k$$-plane transforms. Zbl 1298.44004
Rubin, B.
2014
The $$\lambda$$-cosine transforms with odd kernel and the hemispherical transform. Zbl 1315.44002
Rubin, Boris
2014
On the Funk-Radon-Helgason inversion method in integral geometry. Zbl 1318.44001
Rubin, Boris
2013
Funk, cosine, and sine transforms on Stiefel and Grassmann manifolds. Zbl 1277.44001
Rubin, B.
2013
Analytic and group-theoretic aspects of the cosine transform. Zbl 1292.43011
Ólafsson, G.; Pasquale, A.; Rubin, B.
2013
Semyanistyi fractional integrals and Radon transforms. Zbl 1288.44005
Rubin, Boris
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
2012
The Radon transform on the Heisenberg group and the transversal Radon transform. Zbl 1241.43008
Rubin, Boris
2012
On some inversion formulas for Riesz potentials and $$k$$-plane transforms. Zbl 1285.47052
Rubin, Boris
2012
A generalization of the Mader-Helgason inversion formulas for Radon transforms. Zbl 1281.44002
Antipov, Y. A.; Rubin, B.
2012
Comparison of volumes of convex bodies in real, complex, and quaternionic spaces. Zbl 1203.44001
Rubin, Boris
2010
On Y. Nievergelt’s inversion formula for the Radon transform. Zbl 1198.42051
Ournycheva, E.; Rubin, Boris
2010
The lower dimensional Busemann-Petty problem for bodies with the generalized axial symmetry. Zbl 1190.52007
Rubin, Boris
2009
Intersection bodies and generalized cosine transforms. Zbl 1148.44002
Rubin, Boris
2008
Composite wavelet transforms: applications and perspectives. Zbl 1256.42046
Aliev, Ilham A.; Rubin, Boris; Sezer, Sinem; Uyhan Simten B.
2008
Inversion formulae for the spherical mean in odd dimensions and the Euler-Poisson-Darboux equation. Zbl 1141.44002
Rubin, Boris
2008
Semyanistyi’s integrals and Radon transforms on matrix spaces. Zbl 1268.42015
Ournycheva, Elena; Rubin, Boris
2008
Method of mean value operators for Radon transforms in the space of matrices. Zbl 1155.44001
Ournycheva, E.; Rubin, Boris
2008
Invariant functions on Grassmannians. Zbl 1256.43003
Ólafsson, Gestur; Rubin, Boris
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
2008
Riesz potentials and integral geometry in the space of rectangular matrices. Zbl 1115.44002
Rubin, Boris
2006
The composite cosine transform on the Stiefel manifold and generalized zeta integrals. Zbl 1129.42348
Ournycheva, Elena; Rubin, Boris
2006
Higher-rank wavelet transforms, ridgelet transforms, and Radon transforms on the space of matrices. Zbl 1101.42019
Ólafsson, Gestur; Ournycheva, Elena; Rubin, Boris
2006
Wavelet-like transforms for admissible semi-groups; inversion formulas for potentials and Radon transforms. Zbl 1129.42018
Aliev, Ilham A.; Rubin, Boris
2005
An analogue of the Fuglede formula in integral geometry on matrix spaces. Zbl 1088.44500
Ournycheva, Elena; Rubin, Boris
2005
Composite cosine transforms. Zbl 1103.42006
Ournycheva, Elena; Rubin, Boris
2005
Generalizations of the Busemann-Petty problem for sections of convex bodies. Zbl 1056.52004
Rubin, Boris; Zhang, Gaoyong
2004
Reconstruction of functions from their integrals over $$k$$-planes. Zbl 1067.44002
Rubin, Boris
2004
Radon transforms on affine Grassmannians. Zbl 1049.44003
Rubin, Boris
2004
Radon inversion on Grassmannians via Gårding-Gindikin fractional integrals. Zbl 1071.44003
Grinberg, Eric L.; Rubin, Boris
2004
Convolution-backprojection method for the $$k$$-plane transform, and Calderón’s identity for ridgelet transforms. Zbl 1042.42036
Rubin, Boris
2004
Totally geodesic Radon transform of $$L^p$$-functions on real hyperbolic space. Zbl 1075.44001
Berenstein, Carlos A.; Rubin, Boris
2004
Notes on Radon transforms in integral geometry. Zbl 1034.44002
Rubin, Boris
2003
Spherical harmonics associated to the Laplace-Bessel operator and generalized spherical convolutions. Zbl 1060.42020
Aliev, Ilham A.; Rubin, Boris
2003
Inversion formulas for the spherical Radon transform and the generalized cosine transform. Zbl 1041.44001
Rubin, Boris
2002
Radon, cosine and sine transforms on real hyperbolic space. Zbl 1013.43006
Rubin, Boris
2002
Helgason-Marchaud inversion formulas for Radon transforms. Zbl 1002.44001
Rubin, Boris
2002
Parabolic wavelet transforms and Lebesgue spaces of parabolic potentials. Zbl 1054.42020
Aliev, Ilham A.; Rubin, Boris
2002
Singular integrals generated by zonal measures. Zbl 0980.42009
Ryabogin, Dmitry; Rubin, Boris
2002
Parabolic potentials and wavelet transforms with the generalized translation. Zbl 0971.42030
Aliev, Ilham A.; Rubin, Boris
2001
The $$k$$-dimensional Radon transform on the $$n$$-sphere and related wavelet transforms. Zbl 0985.44005
Rubin, Boris; Ryabogin, Dmitry
2001
Generalized Minkowski-Funk transforms and small denominators on the sphere. Zbl 1036.42027
Rubin, Boris
2000
Inversion of exponential $$k$$-plane transforms. Zbl 0973.44001
Rubin, Boris
2000
Arithmetical properties of Gegenbauer polynomials and small denominators on the sphere (open problem). Zbl 1037.33009
Rubin, Boris
2000
Fractional differentiation and spherical Radon transforms. Zbl 1032.44002
Rubin, Boris
2000
Inversion and characterization of the hemispherical transform. Zbl 1054.44500
Rubin, Boris
1999
Fractional integrals and wavelet transforms associated with Blaschke-Lévy representations on the sphere. Zbl 1124.42305
Rubin, Boris
1999
Radon transform of $$L^p$$-functions on the Lobachevsky space and hyperbolic wavelet transforms. Zbl 0938.44001
Berenstein, Carlos A.; Rubin, Boris
1999
Inversion of Radon transforms using wavelet transforms generated by wavelet measures. Zbl 0959.44001
Rubin, Boris
1999
Inversion of the horocycle transform on real hyperbolic spaces via a wavelet-like transform. Zbl 0922.43003
Bray, William O.; Rubin, Boris
1999
Singular integral operators generated by wavelet transforms. Zbl 0933.42008
Ryabogin, Dmitri; Rubin, Boris
1999
The Calderón reproducing formula, windowed $$X$$-ray transforms, and Radon transforms in $$L^p$$-spaces. Zbl 0933.42023
Rubin, Boris
1998
Fractional calculus and wavelet transforms in integral geometry. Zbl 0938.42024
Rubin, Boris
1998
Spherical Radon transform and related wavelet transforms. Zbl 0915.44004
Rubin, Boris
1998
Inversion of fractional integrals related to the spherical Radon transform. Zbl 0910.42006
Rubin, Boris
1998
Inversion of $$k$$-plane transforms via continuous wavelet transforms. Zbl 0912.44003
Rubin, Boris
1998
Locally controllable regularization of Abel integral equations via operator complementation. Zbl 0898.65096
Gorenflo, Rudolf; Medvedeva, T.; Rubin, Boris
1997
Continuity and invertibility of distributional multidimensional fractional integrals. Zbl 0898.46036
1997
Fractional integrals and potentials. Zbl 0864.26004
Rubin, Boris
1996
Calderón’s reproducing formula and singular integral operators on a real line. Zbl 0853.42006
Rubin, Boris; Shamir, E.
1995
A half-plane crack under tangential load: A complete solution. Zbl 0831.73047
Fabrikant, V. I.; Rubin, B. S.; Karapetian, E. N.
1995
Multidimensional fractional integrals and distributions. Zbl 0837.46027
1995
Fractional integrals and weakly singular integral equations of the first kind in the $$n$$-dimensional ball. Zbl 0828.45003
Rubin, Boris
1994
Hypersingular integrals of Marchaud type and the inversion problem for potentials. Zbl 0832.31004
Rubin, Boris
1994
Locally controllable regularization of fractional derivatives. Zbl 0815.65142
Gorenflo, Rudolf; Rubin, Boris
1994
External circular crack under normal load: A complete solution. Zbl 0827.73054
Fabrikant, V. I.; Rubin, B. S.; Karapetian, E. N.
1994
The inversion of fractional integrals on a sphere. Zbl 0778.46025
Rubin, Boris
1992
Bounds for potentials with oscillating kernels related to the Helmholtz equation. Zbl 0723.35023
Nogin, V. A.; Rubin, B. S.
1990
Difference regularization of operators of potential type in $$L_ p$$- spaces. Zbl 0714.47024
Rubin, B. S.
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.
1988
On fractional integrals with limiting exponent. Zbl 0664.26003
Karapetyants, N. K.; Rubin, B. S.
1988
Inversion of potentials in $$R^ n$$ by means of Gauss-Weierstrass integrals. Zbl 0643.31010
Rubin, B. S.
1987
The spaces $${\mathfrak L}^\alpha_{p,r}({\mathbb{R}}^{n+1})$$ of parabolic potentials. Zbl 0657.31017
Nogin, V. A.; Rubin, B. S.
1987
On a method for characterization and inversion of Bessel and Riesz potentials. Zbl 0644.42009
Rubin, B. S.
1986
Description and inversion of Bessel potentials with the help of hypersingular integrals with weighted differences. Zbl 0633.47018
Rubin, B. S.
1986
Inversion of parabolic potentials with $$L_ p$$-densities. Zbl 0629.35004
Nogin, V. A.; Rubin, B. S.
1986
Fractional integrals and Riesz poentials with radial densities in power weighted spaces. Zbl 0626.46014
Rubin, B. S.
1986
Description and inversion of Bessel potentials by using hypersingular integrals with weighted differences. Zbl 0658.47034
Rubin, B. S.
1986
Inversion and description of parabolic potentials with $$L_ p$$- densities. Zbl 0594.47043
Nogin, V. A.; Rubin, B. S.
1985
One-dimensional representation, inversion, and certain properties of the Riesz potentials of radial functions. Zbl 0535.45008
Rubin, B. S.
1983
Radial Riesz potentials on the disk and fractional integration operators. Zbl 0566.45020
Karapetjanc, N. K.; Rubin, B. S.
1982
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.
1982
Noether theory for generalized Abel equations with real exponents. Zbl 0445.45006
Rubin, B. S.
1980
...and 3 more Documents
all top 5

### Cited by 308 Authors

 57 Rubin, Boris 15 Aliev, Ilham A. 10 He, Jianxun 9 Estrada, Ricardo 7 Koldobsky, Alexander L. 7 Samko, Stefan Grigorievich 6 Nogin, Vladimir Aleksandrovich 5 Eryigit, Melih 5 Quellmalz, Michael 5 Xiao, Jinsen 4 Abouelaz, Ahmed 4 Çobanoğlu, Selim 4 Leng, Gangsong 4 Ournycheva, Elena 4 Ray, Swagato K. 4 Volchkov, Vitaliĭ Vladimirovich 4 Wang, Yingzhan 4 Werner, Elisabeth M. 3 Agranovsky, Mark L. 3 Bayrakci, Simten 3 Dann, Susanna 3 Doungmo Goufo, Emile Franc 3 Gonzalez, Fulton B. 3 Hielscher, Ralf 3 Kakehi, Tomoyuki 3 Kumar, Ashisha 3 Lv, Songjun 3 Roy, Souvik 3 Ryabogin, Dmitry 3 Salman, Yehonatan 3 Sekin, Çağla 3 Selmi, Belgacem 3 Sezer, Sinem 3 Thim, Johan 3 Vozhzhov, D. V. 3 Zhang, Genkai 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 Evcan, Sinem Sezer 2 Gadjiev, Akif Djafar oglu 2 Gouia-Zarrad, Rim 2 Guliyev, Vagif Sabir 2 Haimanko, Ori 2 Huang, Qingzhong 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, Aijun 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 Ólafsson, Gestur 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 Volchkova, Natal’ya Petrovna 2 Wang, Weidong 2 Wu, Denghui 2 Xi, Dongmeng 2 Yu, Yufeng 2 Zähle, Martina 2 Zhang, Gaoyong 2 Zhou, Jiazu 2 Zúñiga-Galindo, Wilson A. 1 Abardia, Judit 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 1 Arenas, Alberto 1 Ascione, Giacomo 1 Bartolucci, Francesca 1 Ben Mohamed, Hassen ...and 208 more Authors
all top 5

### Cited in 125 Serials

 21 Advances in Mathematics 15 Integral Transforms and Special Functions 15 Fractional Calculus & Applied Analysis 14 Journal of Mathematical Analysis and Applications 13 Transactions of the American Mathematical Society 11 Journal of Functional Analysis 9 Applied and Computational Harmonic Analysis 8 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 5 Proceedings of the American Mathematical Society 5 Mediterranean Journal of Mathematics 4 Journal d’Analyse Mathématique 4 Integral Equations and Operator Theory 4 International Journal of Mathematics 4 Acta Mathematica Sinica. English Series 4 Analysis and Applications (Singapore) 3 Mathematical Notes 3 Rocky Mountain Journal of Mathematics 3 Mathematika 3 Zeitschrift für Analysis und ihre Anwendungen 3 Potential Analysis 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Journal of Function Spaces 2 Applicable Analysis 2 Journal of Mathematical Physics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Archiv der Mathematik 2 Duke Mathematical Journal 2 Geometriae Dedicata 2 Journal of Approximation Theory 2 Journal für die Reine und Angewandte Mathematik 2 Constructive Approximation 2 Mathematical and Computer Modelling 2 The Journal of Geometric Analysis 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 SIAM Journal on Mathematical Analysis 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Russian Mathematics 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 Complex Analysis and Operator Theory 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 Computational and Applied Mathematics 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 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 Forum Mathematicum 1 Journal of Integral Equations and Applications 1 Science in China. Series A 1 European Journal of Applied Mathematics 1 International Journal of Computer Mathematics 1 Indagationes Mathematicae. New Series 1 Journal of Mathematical Imaging and Vision 1 Journal of Mathematical Sciences (New York) 1 St. Petersburg Mathematical Journal 1 Turkish Journal of Mathematics 1 Fractals 1 Selecta Mathematica. New Series 1 Opuscula Mathematica 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Nonlinear Dynamics 1 Vietnam Journal of Mathematics 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 Revista Matemática Complutense 1 Communications in Contemporary Mathematics 1 Journal of High Energy Physics 1 Brazilian Journal of Probability and Statistics 1 Differential Equations 1 Matematicheskoe Modelirovanie ...and 25 more Serials
all top 5

### Cited in 48 Fields

 135 Integral transforms, operational calculus (44-XX) 70 Harmonic analysis on Euclidean spaces (42-XX) 56 Real functions (26-XX) 52 Convex and discrete geometry (52-XX) 49 Operator theory (47-XX) 35 Abstract harmonic analysis (43-XX) 31 Partial differential equations (35-XX) 26 Functional analysis (46-XX) 25 Differential geometry (53-XX) 21 Integral equations (45-XX) 21 Numerical analysis (65-XX) 19 Special functions (33-XX) 10 Number theory (11-XX) 10 Topological groups, Lie groups (22-XX) 10 Potential theory (31-XX) 9 Combinatorics (05-XX) 9 Probability theory and stochastic processes (60-XX) 9 Biology and other natural sciences (92-XX) 7 Ordinary differential equations (34-XX) 7 Approximations and expansions (41-XX) 7 Information and communication theory, circuits (94-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Measure and integration (28-XX) 6 Statistics (62-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Geometry (51-XX) 3 Computer science (68-XX) 3 Mechanics of deformable solids (74-XX) 3 Fluid mechanics (76-XX) 3 Quantum theory (81-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 History and biography (01-XX) 2 Algebraic geometry (14-XX) 2 Functions of a complex variable (30-XX) 2 Difference and functional equations (39-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Optics, electromagnetic theory (78-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-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 Manifolds and cell complexes (57-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX)