Edit Profile (opens in new tab) Rubin, Boris Co-Author Distance Author ID: rubin.boris Published as: Rubin, Boris; Rubin, B. S.; Rubin, B. more...less External Links: MGP Documents Indexed: 148 Publications since 1972, including 2 Books 1 Contribution as Editor · 1 Further Contribution Reviewing Activity: 424 Reviews Co-Authors: 50 Co-Authors with 55 Joint Publications 1,494 Co-Co-Authors 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 all top 5 Fields 82 Integral transforms, operational calculus (44-XX) 48 Harmonic analysis on Euclidean spaces (42-XX) 45 Operator theory (47-XX) 39 Real functions (26-XX) 27 Integral equations (45-XX) 16 Functional analysis (46-XX) 15 Potential theory (31-XX) 14 Partial differential equations (35-XX) 12 Convex and discrete geometry (52-XX) 10 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 History and biography (01-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 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 109 Publications have been cited 836 times in 355 Documents Cited by ▼ Year ▼ Fractional integrals and potentials. Zbl 0864.26004Rubin, Boris 85 1996 Inversion formulas for the spherical Radon transform and the generalized cosine transform. Zbl 1041.44001Rubin, Boris 37 2002 Introduction to Radon transforms. With elements of fractional calculus and harmonic analysis. Zbl 1333.44002Rubin, Boris 35 2015 Generalizations of the Busemann-Petty problem for sections of convex bodies. Zbl 1056.52004Rubin, Boris; Zhang, Gaoyong 32 2004 Reconstruction of functions from their integrals over \(k\)-planes. Zbl 1067.44002Rubin, Boris 30 2004 The Calderón reproducing formula, windowed \(X\)-ray transforms, and Radon transforms in \(L^p\)-spaces. Zbl 0933.42023Rubin, Boris 27 1998 Fractional calculus and wavelet transforms in integral geometry. Zbl 0938.42024Rubin, Boris 23 1998 Radon transforms on affine Grassmannians. Zbl 1049.44003Rubin, Boris 20 2004 Radon inversion on Grassmannians via Gårding-Gindikin fractional integrals. Zbl 1071.44003Grinberg, Eric L.; Rubin, Boris 20 2004 Intersection bodies and generalized cosine transforms. Zbl 1148.44002Rubin, Boris 18 2008 Spherical Radon transform and related wavelet transforms. Zbl 0915.44004Rubin, Boris 17 1998 Wavelet-like transforms for admissible semi-groups; inversion formulas for potentials and Radon transforms. Zbl 1129.42018Aliev, Ilham A.; Rubin, Boris 17 2005 On the Funk-Radon-Helgason inversion method in integral geometry. Zbl 1318.44001Rubin, Boris 17 2013 Radon, cosine and sine transforms on real hyperbolic space. Zbl 1013.43006Rubin, Boris 16 2002 Notes on Radon transforms in integral geometry. Zbl 1034.44002Rubin, Boris 16 2003 Convolution-backprojection method for the \(k\)-plane transform, and Calderón’s identity for ridgelet transforms. Zbl 1042.42036Rubin, Boris 15 2004 Inversion and characterization of the hemispherical transform. Zbl 1054.44500Rubin, Boris 15 1999 Inversion of fractional integrals related to the spherical Radon transform. Zbl 0910.42006Rubin, Boris 14 1998 Composite wavelet transforms: applications and perspectives. Zbl 1256.42046Aliev, Ilham A.; Rubin, Boris; Sezer, Sinem; Uyhan Simten B. 14 2008 Riesz potentials and integral geometry in the space of rectangular matrices. Zbl 1115.44002Rubin, Boris 13 2006 Generalized Minkowski-Funk transforms and small denominators on the sphere. Zbl 1036.42027Rubin, Boris 13 2000 Fractional integrals and wavelet transforms associated with Blaschke-Lévy representations on the sphere. Zbl 1124.42305Rubin, Boris 13 1999 Method of analytic continuation for the inverse spherical mean transform in constant curvature spaces. Zbl 1276.44002Antipov, Yuri A.; Estrada, Ricardo; Rubin, Boris 12 2012 Parabolic potentials and wavelet transforms with the generalized translation. Zbl 0971.42030Aliev, Ilham A.; Rubin, Boris 11 2001 One-dimensional representation, inversion, and certain properties of the Riesz potentials of radial functions. Zbl 0535.45008Rubin, B. S. 11 1983 Funk, cosine, and sine transforms on Stiefel and Grassmann manifolds. Zbl 1277.44001Rubin, B. 11 2013 The Radon transform on the Heisenberg group and the transversal Radon transform. Zbl 1241.43008Rubin, Boris 10 2012 Radon transform of \(L^p\)-functions on the Lobachevsky space and hyperbolic wavelet transforms. Zbl 0938.44001Berenstein, Carlos A.; Rubin, Boris 10 1999 Helgason-Marchaud inversion formulas for Radon transforms. Zbl 1002.44001Rubin, Boris 9 2002 Comparison of volumes of convex bodies in real, complex, and quaternionic spaces. Zbl 1203.44001Rubin, Boris 9 2010 The lower dimensional Busemann-Petty problem for bodies with the generalized axial symmetry. Zbl 1190.52007Rubin, Boris 8 2009 Fractional integrals and weakly singular integral equations of the first kind in the \(n\)-dimensional ball. Zbl 0828.45003Rubin, Boris 8 1994 An analogue of the Fuglede formula in integral geometry on matrix spaces. Zbl 1088.44500Ournycheva, Elena; Rubin, Boris 8 2005 On a method for characterization and inversion of Bessel and Riesz potentials. Zbl 0644.42009Rubin, B. S. 8 1986 Calderón’s reproducing formula and singular integral operators on a real line. Zbl 0853.42006Rubin, Boris; Shamir, E. 8 1995 Inversion of Radon transforms using wavelet transforms generated by wavelet measures. Zbl 0959.44001Rubin, Boris 7 1999 Analytic and group-theoretic aspects of the cosine transform. Zbl 1292.43011Ólafsson, G.; Pasquale, A.; Rubin, B. 7 2013 Inversion formulae for the spherical mean in odd dimensions and the Euler-Poisson-Darboux equation. Zbl 1141.44002Rubin, Boris 7 2008 Spherical harmonics associated to the Laplace-Bessel operator and generalized spherical convolutions. Zbl 1060.42020Aliev, Ilham A.; Rubin, Boris 7 2003 Inversion of potentials in \(R^ n\) by means of Gauss-Weierstrass integrals. Zbl 0643.31010Rubin, B. S. 7 1987 Reconstruction of functions on the sphere from their integrals over hyperplane sections. Zbl 1440.44001Rubin, Boris 6 2019 Inversion of \(k\)-plane transforms via continuous wavelet transforms. Zbl 0912.44003Rubin, Boris 6 1998 Semyanistyi’s integrals and Radon transforms on matrix spaces. Zbl 1268.42015Ournycheva, Elena; Rubin, Boris 6 2008 Parabolic wavelet transforms and Lebesgue spaces of parabolic potentials. Zbl 1054.42020Aliev, Ilham A.; Rubin, Boris 6 2002 Weighted norm inequalities for \(k\)-plane transforms. Zbl 1298.44004Rubin, B. 5 2014 The composite cosine transform on the Stiefel manifold and generalized zeta integrals. Zbl 1129.42348Ournycheva, Elena; Rubin, Boris 5 2006 Inversion of parabolic potentials with \(L_ p\)-densities. Zbl 0629.35004Nogin, V. A.; Rubin, B. S. 5 1986 The spaces \({\mathfrak L}^\alpha_{p,r}({\mathbb{R}}^{n+1})\) of parabolic potentials. Zbl 0657.31017Nogin, V. A.; Rubin, B. S. 5 1987 Null spaces of Radon transforms. Zbl 1334.44002Estrada, Ricardo; Rubin, Boris 5 2016 The vertical slice transform on the unit sphere. Zbl 1445.44003Rubin, Boris 4 2019 Higher-rank wavelet transforms, ridgelet transforms, and Radon transforms on the space of matrices. Zbl 1101.42019Ólafsson, Gestur; Ournycheva, Elena; Rubin, Boris 4 2006 Composite cosine transforms. Zbl 1103.42006Ournycheva, Elena; Rubin, Boris 4 2005 Locally controllable regularization of Abel integral equations via operator complementation. Zbl 0898.65096Gorenflo, 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 0658.42018Rubin, B. S. 4 1988 Radial Riesz potentials on the disk and fractional integration operators. Zbl 0566.45020Karapetjanc, N. K.; Rubin, B. S. 4 1982 Difference regularization of operators of potential type in \(L_ p\)- spaces. Zbl 0714.47024Rubin, B. S. 4 1989 Non-geodesic spherical funk transforms with one and two centers. Zbl 07244852Agranovsky, M.; Rubin, Boris 4 2020 Radon transforms over lower-dimensional horospheres in real hyperbolic space. Zbl 1425.44002Bray, William O.; Rubin, Boris 3 2019 New inversion formulas for Radon transforms on affine Grassmannians. Zbl 1404.44005Rubin, Boris; Wang, Yingzhan 3 2018 On two families of Funk-type transforms. Zbl 1462.44002Agranovsky, M.; Rubin, B. 3 2020 Erdélyi-Kober fractional integrals and Radon transforms for mutually orthogonal affine planes. Zbl 1462.44003Rubin, Boris; Wang, Yingzhan 3 2020 Overdetermined transforms in integral geometry. Zbl 1348.44001Rubin, B. 3 2015 New inversion formulas for the horospherical transform. Zbl 1376.44003Rubin, Boris 3 2017 Semyanistyi fractional integrals and Radon transforms. Zbl 1288.44005Rubin, Boris 3 2013 Totally geodesic Radon transform of \(L^p\)-functions on real hyperbolic space. Zbl 1075.44001Berenstein, Carlos A.; Rubin, Boris 3 2004 The \(k\)-dimensional Radon transform on the \(n\)-sphere and related wavelet transforms. Zbl 0985.44005Rubin, Boris; Ryabogin, Dmitry 3 2001 Method of mean value operators for Radon transforms in the space of matrices. Zbl 1155.44001Ournycheva, E.; Rubin, Boris 3 2008 Description and inversion of Bessel potentials with the help of hypersingular integrals with weighted differences. Zbl 0633.47018Rubin, B. S. 3 1986 Bounds for potentials with oscillating kernels related to the Helmholtz equation. Zbl 0723.35023Nogin, V. A.; Rubin, B. S. 3 1990 Inversion of the horocycle transform on real hyperbolic spaces via a wavelet-like transform. Zbl 0922.43003Bray, William O.; Rubin, Boris 3 1999 Hypersingular integrals of Marchaud type and the inversion problem for potentials. Zbl 0832.31004Rubin, Boris 3 1994 Singular integral operators generated by wavelet transforms. Zbl 0933.42008Ryabogin, Dmitri; Rubin, Boris 3 1999 Radon transforms and Gegenbauer-Chebyshev integrals. II: Examples. Zbl 1375.44003Rubin, Boris 3 2017 On Radon transforms between lines and hyperplanes. Zbl 1379.44001Rubin, Boris; Wang, Yingzhan 3 2017 On Y. Nievergelt’s inversion formula for the Radon transform. Zbl 1198.42051Ournycheva, E.; Rubin, Boris 2 2010 Locally controllable regularization of fractional derivatives. Zbl 0815.65142Gorenflo, Rudolf; Rubin, Boris 2 1994 The inversion of fractional integrals on a sphere. Zbl 0778.46025Rubin, Boris 2 1992 Über Operatoren vom Potentialtyp auf einem Segment der reellen Achse. Zbl 0278.31002Rubin, B. S. 2 1973 Gebrochene Integrale in Hölderschen Räumen mit Gewicht und Operatoren vom Potentialtyp. Zbl 0327.44005Rubin, B. S. 2 1974 Invariant functions on Grassmannians. Zbl 1256.43003Ólafsson, Gestur; Rubin, Boris 2 2008 Fractional integrals and Riesz poentials with radial densities in power weighted spaces. Zbl 0626.46014Rubin, B. S. 2 1986 Description and inversion of Bessel potentials by using hypersingular integrals with weighted differences. Zbl 0658.47034Rubin, B. S. 2 1986 On fractional integrals with limiting exponent. Zbl 0664.26003Karapetyants, N. K.; Rubin, B. S. 2 1988 Inversion of Riesz potentials on an \(n\)-dimensional ball and its exterior. Zbl 0584.31004Rubin, B. S. 2 1985 An imbedding theorem for the images of convolution operators on a finite interval and operators of potential type. I. Zbl 0496.45002Rubin, B. S. 2 1982 A half-plane crack under tangential load: A complete solution. Zbl 0831.73047Fabrikant, V. I.; Rubin, B. S.; Karapetian, E. N. 2 1995 On the determination of star bodies from their half-sections. Zbl 1375.44002Rubin, B. 2 2017 On some inversion formulas for Riesz potentials and \(k\)-plane transforms. Zbl 1285.47052Rubin, Boris 2 2012 The \(\lambda\)-cosine transforms with odd kernel and the hemispherical transform. Zbl 1315.44002Rubin, Boris 2 2014 Noether theory for generalized Abel equations with real exponents. Zbl 0445.45006Rubin, B. S. 1 1980 Radon transforms and Gegenbauer-Chebyshev integrals. I. Zbl 1382.44002Rubin, Boris 1 2017 Singular integrals generated by zonal measures. Zbl 0980.42009Ryabogin, 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 1037.33009Rubin, Boris 1 2000 Fractional differentiation and spherical Radon transforms. Zbl 1032.44002Rubin, Boris 1 2000 Über Räume gebrochener Integrale auf einer geradlinigen Kontur. Zbl 0253.46062Rubin, B. S. 1 1972 On operators of potential type in weight spaces on an arbitrary contour. Zbl 0272.47029Rubin, B. S. 1 1972 On fractional integrals generated by Radon transforms over paraboloids. Zbl 1515.42012Rubin, Boris 1 2023 Riesz potentials and orthogonal Radon transforms on affine Grassmannians. Zbl 1498.44003Rubin, Boris; Wang, Yingzhan 1 2021 Radon-John transforms and spherical harmonics. Zbl 1402.44002Estrada, Ricardo; Rubin, Boris 1 2018 On fractional integrals generated by Radon transforms over paraboloids. Zbl 1515.42012Rubin, Boris 1 2023 Riesz potentials and orthogonal Radon transforms on affine Grassmannians. Zbl 1498.44003Rubin, Boris; Wang, Yingzhan 1 2021 The \(\lambda \)-cosine transforms, differential operators, and Funk transforms on Stiefel and Grassmann manifolds. Zbl 1485.44003Rubin, B. 1 2021 Non-geodesic spherical funk transforms with one and two centers. Zbl 07244852Agranovsky, M.; Rubin, Boris 4 2020 On two families of Funk-type transforms. Zbl 1462.44002Agranovsky, M.; Rubin, B. 3 2020 Erdélyi-Kober fractional integrals and Radon transforms for mutually orthogonal affine planes. Zbl 1462.44003Rubin, Boris; Wang, Yingzhan 3 2020 Reconstruction of functions on the sphere from their integrals over hyperplane sections. Zbl 1440.44001Rubin, Boris 6 2019 The vertical slice transform on the unit sphere. Zbl 1445.44003Rubin, Boris 4 2019 Radon transforms over lower-dimensional horospheres in real hyperbolic space. Zbl 1425.44002Bray, William O.; Rubin, Boris 3 2019 New inversion formulas for Radon transforms on affine Grassmannians. Zbl 1404.44005Rubin, Boris; Wang, Yingzhan 3 2018 Radon-John transforms and spherical harmonics. Zbl 1402.44002Estrada, Ricardo; Rubin, Boris 1 2018 New inversion formulas for the horospherical transform. Zbl 1376.44003Rubin, Boris 3 2017 Radon transforms and Gegenbauer-Chebyshev integrals. II: Examples. Zbl 1375.44003Rubin, Boris 3 2017 On Radon transforms between lines and hyperplanes. Zbl 1379.44001Rubin, Boris; Wang, Yingzhan 3 2017 On the determination of star bodies from their half-sections. Zbl 1375.44002Rubin, B. 2 2017 Radon transforms and Gegenbauer-Chebyshev integrals. I. Zbl 1382.44002Rubin, Boris 1 2017 Null spaces of Radon transforms. Zbl 1334.44002Estrada, Ricardo; Rubin, Boris 5 2016 Introduction to Radon transforms. With elements of fractional calculus and harmonic analysis. Zbl 1333.44002Rubin, Boris 35 2015 Overdetermined transforms in integral geometry. Zbl 1348.44001Rubin, B. 3 2015 Weighted norm inequalities for \(k\)-plane transforms. Zbl 1298.44004Rubin, B. 5 2014 The \(\lambda\)-cosine transforms with odd kernel and the hemispherical transform. Zbl 1315.44002Rubin, Boris 2 2014 On the Funk-Radon-Helgason inversion method in integral geometry. Zbl 1318.44001Rubin, Boris 17 2013 Funk, cosine, and sine transforms on Stiefel and Grassmann manifolds. Zbl 1277.44001Rubin, B. 11 2013 Analytic and group-theoretic aspects of the cosine transform. Zbl 1292.43011Ólafsson, G.; Pasquale, A.; Rubin, B. 7 2013 Semyanistyi fractional integrals and Radon transforms. Zbl 1288.44005Rubin, Boris 3 2013 Method of analytic continuation for the inverse spherical mean transform in constant curvature spaces. Zbl 1276.44002Antipov, Yuri A.; Estrada, Ricardo; Rubin, Boris 12 2012 The Radon transform on the Heisenberg group and the transversal Radon transform. Zbl 1241.43008Rubin, Boris 10 2012 On some inversion formulas for Riesz potentials and \(k\)-plane transforms. Zbl 1285.47052Rubin, Boris 2 2012 A generalization of the Mader-Helgason inversion formulas for Radon transforms. Zbl 1281.44002Antipov, Y. A.; Rubin, B. 1 2012 Comparison of volumes of convex bodies in real, complex, and quaternionic spaces. Zbl 1203.44001Rubin, Boris 9 2010 On Y. Nievergelt’s inversion formula for the Radon transform. Zbl 1198.42051Ournycheva, E.; Rubin, Boris 2 2010 The lower dimensional Busemann-Petty problem for bodies with the generalized axial symmetry. Zbl 1190.52007Rubin, Boris 8 2009 Intersection bodies and generalized cosine transforms. Zbl 1148.44002Rubin, Boris 18 2008 Composite wavelet transforms: applications and perspectives. Zbl 1256.42046Aliev, 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 1141.44002Rubin, Boris 7 2008 Semyanistyi’s integrals and Radon transforms on matrix spaces. Zbl 1268.42015Ournycheva, Elena; Rubin, Boris 6 2008 Method of mean value operators for Radon transforms in the space of matrices. Zbl 1155.44001Ournycheva, E.; Rubin, Boris 3 2008 Invariant functions on Grassmannians. Zbl 1256.43003Ólafsson, 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 1115.44002Rubin, Boris 13 2006 The composite cosine transform on the Stiefel manifold and generalized zeta integrals. Zbl 1129.42348Ournycheva, Elena; Rubin, Boris 5 2006 Higher-rank wavelet transforms, ridgelet transforms, and Radon transforms on the space of matrices. Zbl 1101.42019Ólafsson, Gestur; Ournycheva, Elena; Rubin, Boris 4 2006 Wavelet-like transforms for admissible semi-groups; inversion formulas for potentials and Radon transforms. Zbl 1129.42018Aliev, Ilham A.; Rubin, Boris 17 2005 An analogue of the Fuglede formula in integral geometry on matrix spaces. Zbl 1088.44500Ournycheva, Elena; Rubin, Boris 8 2005 Composite cosine transforms. Zbl 1103.42006Ournycheva, Elena; Rubin, Boris 4 2005 Generalizations of the Busemann-Petty problem for sections of convex bodies. Zbl 1056.52004Rubin, Boris; Zhang, Gaoyong 32 2004 Reconstruction of functions from their integrals over \(k\)-planes. Zbl 1067.44002Rubin, Boris 30 2004 Radon transforms on affine Grassmannians. Zbl 1049.44003Rubin, Boris 20 2004 Radon inversion on Grassmannians via Gårding-Gindikin fractional integrals. Zbl 1071.44003Grinberg, Eric L.; Rubin, Boris 20 2004 Convolution-backprojection method for the \(k\)-plane transform, and Calderón’s identity for ridgelet transforms. Zbl 1042.42036Rubin, Boris 15 2004 Totally geodesic Radon transform of \(L^p\)-functions on real hyperbolic space. Zbl 1075.44001Berenstein, Carlos A.; Rubin, Boris 3 2004 Notes on Radon transforms in integral geometry. Zbl 1034.44002Rubin, Boris 16 2003 Spherical harmonics associated to the Laplace-Bessel operator and generalized spherical convolutions. Zbl 1060.42020Aliev, Ilham A.; Rubin, Boris 7 2003 Inversion formulas for the spherical Radon transform and the generalized cosine transform. Zbl 1041.44001Rubin, Boris 37 2002 Radon, cosine and sine transforms on real hyperbolic space. Zbl 1013.43006Rubin, Boris 16 2002 Helgason-Marchaud inversion formulas for Radon transforms. Zbl 1002.44001Rubin, Boris 9 2002 Parabolic wavelet transforms and Lebesgue spaces of parabolic potentials. Zbl 1054.42020Aliev, Ilham A.; Rubin, Boris 6 2002 Singular integrals generated by zonal measures. Zbl 0980.42009Ryabogin, Dmitry; Rubin, Boris 1 2002 Parabolic potentials and wavelet transforms with the generalized translation. Zbl 0971.42030Aliev, Ilham A.; Rubin, Boris 11 2001 The \(k\)-dimensional Radon transform on the \(n\)-sphere and related wavelet transforms. Zbl 0985.44005Rubin, Boris; Ryabogin, Dmitry 3 2001 Generalized Minkowski-Funk transforms and small denominators on the sphere. Zbl 1036.42027Rubin, Boris 13 2000 Arithmetical properties of Gegenbauer polynomials and small denominators on the sphere (open problem). Zbl 1037.33009Rubin, Boris 1 2000 Fractional differentiation and spherical Radon transforms. Zbl 1032.44002Rubin, Boris 1 2000 Inversion of exponential \(k\)-plane transforms. Zbl 0973.44001Rubin, Boris 1 2000 Inversion and characterization of the hemispherical transform. Zbl 1054.44500Rubin, Boris 15 1999 Fractional integrals and wavelet transforms associated with Blaschke-Lévy representations on the sphere. Zbl 1124.42305Rubin, Boris 13 1999 Radon transform of \(L^p\)-functions on the Lobachevsky space and hyperbolic wavelet transforms. Zbl 0938.44001Berenstein, Carlos A.; Rubin, Boris 10 1999 Inversion of Radon transforms using wavelet transforms generated by wavelet measures. Zbl 0959.44001Rubin, Boris 7 1999 Inversion of the horocycle transform on real hyperbolic spaces via a wavelet-like transform. Zbl 0922.43003Bray, William O.; Rubin, Boris 3 1999 Singular integral operators generated by wavelet transforms. Zbl 0933.42008Ryabogin, Dmitri; Rubin, Boris 3 1999 The Calderón reproducing formula, windowed \(X\)-ray transforms, and Radon transforms in \(L^p\)-spaces. Zbl 0933.42023Rubin, Boris 27 1998 Fractional calculus and wavelet transforms in integral geometry. Zbl 0938.42024Rubin, Boris 23 1998 Spherical Radon transform and related wavelet transforms. Zbl 0915.44004Rubin, Boris 17 1998 Inversion of fractional integrals related to the spherical Radon transform. Zbl 0910.42006Rubin, Boris 14 1998 Inversion of \(k\)-plane transforms via continuous wavelet transforms. Zbl 0912.44003Rubin, Boris 6 1998 Locally controllable regularization of Abel integral equations via operator complementation. Zbl 0898.65096Gorenflo, Rudolf; Medvedeva, T.; Rubin, Boris 4 1997 Continuity and invertibility of distributional multidimensional fractional integrals. Zbl 0898.46036McBride, Adam C.; Rubin, Boris 1 1997 Fractional integrals and potentials. Zbl 0864.26004Rubin, Boris 85 1996 Calderón’s reproducing formula and singular integral operators on a real line. Zbl 0853.42006Rubin, Boris; Shamir, E. 8 1995 A half-plane crack under tangential load: A complete solution. Zbl 0831.73047Fabrikant, V. I.; Rubin, B. S.; Karapetian, E. N. 2 1995 Multidimensional fractional integrals and distributions. Zbl 0837.46027McBride, Adam C.; Rubin, Boris 1 1995 Fractional integrals and weakly singular integral equations of the first kind in the \(n\)-dimensional ball. Zbl 0828.45003Rubin, Boris 8 1994 Hypersingular integrals of Marchaud type and the inversion problem for potentials. Zbl 0832.31004Rubin, Boris 3 1994 Locally controllable regularization of fractional derivatives. Zbl 0815.65142Gorenflo, Rudolf; Rubin, Boris 2 1994 External circular crack under normal load: A complete solution. Zbl 0827.73054Fabrikant, V. I.; Rubin, B. S.; Karapetian, E. N. 1 1994 The inversion of fractional integrals on a sphere. Zbl 0778.46025Rubin, Boris 2 1992 Bounds for potentials with oscillating kernels related to the Helmholtz equation. Zbl 0723.35023Nogin, V. A.; Rubin, B. S. 3 1990 Difference regularization of operators of potential type in \(L_ p\)- spaces. Zbl 0714.47024Rubin, B. S. 4 1989 Multiplier operators associated with the Cauchy problem for the wave equation. Difference regularization. Zbl 0703.35099Rubin, 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 0658.42018Rubin, B. S. 4 1988 On fractional integrals with limiting exponent. Zbl 0664.26003Karapetyants, N. K.; Rubin, B. S. 2 1988 Inversion of potentials in \(R^ n\) by means of Gauss-Weierstrass integrals. Zbl 0643.31010Rubin, B. S. 7 1987 The spaces \({\mathfrak L}^\alpha_{p,r}({\mathbb{R}}^{n+1})\) of parabolic potentials. Zbl 0657.31017Nogin, V. A.; Rubin, B. S. 5 1987 On a method for characterization and inversion of Bessel and Riesz potentials. Zbl 0644.42009Rubin, B. S. 8 1986 Inversion of parabolic potentials with \(L_ p\)-densities. Zbl 0629.35004Nogin, V. A.; Rubin, B. S. 5 1986 Description and inversion of Bessel potentials with the help of hypersingular integrals with weighted differences. Zbl 0633.47018Rubin, B. S. 3 1986 Fractional integrals and Riesz poentials with radial densities in power weighted spaces. Zbl 0626.46014Rubin, B. S. 2 1986 Description and inversion of Bessel potentials by using hypersingular integrals with weighted differences. Zbl 0658.47034Rubin, B. S. 2 1986 Inversion of Riesz potentials on an \(n\)-dimensional ball and its exterior. Zbl 0584.31004Rubin, B. S. 2 1985 Inversion and description of parabolic potentials with \(L_ p\)- densities. Zbl 0594.47043Nogin, V. A.; Rubin, B. S. 1 1985 ...and 9 more Documents all cited Publications top 5 cited Publications 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 all top 5 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. 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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