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: 164 Publications since 1972, including 2 Books and 14 Additional arXiv Preprints 1 Contribution as Editor · 1 Further Contribution Reviewing Activity: 429 Reviews Co-Authors: 50 Co-Authors with 58 Joint Publications 1,609 Co-Co-Authors all top 5 Co-Authors 107 single-authored 8 Ournycheva, Elena 6 Nogin, Vladimir Aleksandrovich 5 Aliev, Ilham A. 5 Karapetyants, Nikolaĭ Karapetovich 5 Ólafsson, Gestur 5 Wang, Yingzhan 4 Estrada, Ricardo 4 Ryabogin, Dmitry 3 Antipov, Yuri A. 3 Bray, William O. 2 Agranovsky, Mark L. 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 Erusalimskiĭ, Yakov Mikhaĭlovich 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 1 Kovalenko, N. V. 1 Kusraev, Anatoliĭ 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 Forum Mathematicum 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 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 Mathematical Sciences (New York) 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 97 Integral transforms, operational calculus (44-XX) 51 Harmonic analysis on Euclidean spaces (42-XX) 47 Operator theory (47-XX) 40 Real functions (26-XX) 27 Integral equations (45-XX) 15 Potential theory (31-XX) 15 Partial differential equations (35-XX) 15 Functional analysis (46-XX) 12 Convex and discrete geometry (52-XX) 11 Abstract harmonic analysis (43-XX) 11 Numerical analysis (65-XX) 7 Biology and other natural sciences (92-XX) 6 Differential geometry (53-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 119 Publications have been cited 983 times in 419 Documents Cited by ▼ Year ▼ Fractional integrals and potentials. Zbl 0864.26004 Rubin, Boris 105 1996 Introduction to Radon transforms. With elements of fractional calculus and harmonic analysis. Zbl 1333.44002 Rubin, Boris 56 2015 Inversion formulas for the spherical Radon transform and the generalized cosine transform. Zbl 1041.44001 Rubin, Boris 38 2002 Generalizations of the Busemann-Petty problem for sections of convex bodies. Zbl 1056.52004 Rubin, Boris; Zhang, Gaoyong 34 2004 Reconstruction of functions from their integrals over \(k\)-planes. Zbl 1067.44002 Rubin, Boris 32 2004 The Calderón reproducing formula, windowed \(X\)-ray transforms, and Radon transforms in \(L^p\)-spaces. Zbl 0933.42023 Rubin, Boris 28 1998 One-dimensional representation, inversion, and certain properties of the Riesz potentials of radial functions. Zbl 0535.45008 Rubin, B. S. 25 1983 Fractional calculus and wavelet transforms in integral geometry. Zbl 0938.42024 Rubin, Boris 24 1998 Radon transforms on affine Grassmannians. Zbl 1049.44003 Rubin, Boris 22 2004 Radon inversion on Grassmannians via Gårding-Gindikin fractional integrals. Zbl 1071.44003 Grinberg, Eric L.; Rubin, Boris 21 2004 Wavelet-like transforms for admissible semi-groups; inversion formulas for potentials and Radon transforms. Zbl 1129.42018 Aliev, Ilham A.; Rubin, Boris 18 2005 Intersection bodies and generalized cosine transforms. Zbl 1148.44002 Rubin, Boris 18 2008 Convolution-backprojection method for the \(k\)-plane transform, and Calderón’s identity for ridgelet transforms. Zbl 1042.42036 Rubin, Boris 18 2004 On the Funk-Radon-Helgason inversion method in integral geometry. Zbl 1318.44001 Rubin, Boris 18 2013 Inversion and characterization of the hemispherical transform. Zbl 1054.44500 Rubin, Boris 17 1999 Spherical Radon transform and related wavelet transforms. Zbl 0915.44004 Rubin, Boris 17 1998 Radon, cosine and sine transforms on real hyperbolic space. Zbl 1013.43006 Rubin, Boris 17 2002 Notes on Radon transforms in integral geometry. Zbl 1034.44002 Rubin, Boris 17 2003 Fractional integrals and wavelet transforms associated with Blaschke-Lévy representations on the sphere. Zbl 1124.42305 Rubin, Boris 15 1999 Generalized Minkowski-Funk transforms and small denominators on the sphere. Zbl 1036.42027 Rubin, Boris 15 2000 Composite wavelet transforms: applications and perspectives. Zbl 1256.42046 Aliev, Ilham A.; Rubin, Boris; Sezer, Sinem; Uyhan, Simten B. 15 2008 Inversion of fractional integrals related to the spherical Radon transform. Zbl 0910.42006 Rubin, Boris 14 1998 Riesz potentials and integral geometry in the space of rectangular matrices. Zbl 1115.44002 Rubin, Boris 14 2006 Funk, cosine, and sine transforms on Stiefel and Grassmann manifolds. Zbl 1277.44001 Rubin, B. 13 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 Parabolic potentials and wavelet transforms with the generalized translation. Zbl 0971.42030 Aliev, Ilham A.; Rubin, Boris 12 2001 Reconstruction of functions on the sphere from their integrals over hyperplane sections. Zbl 1440.44001 Rubin, Boris 11 2019 The Radon transform on the Heisenberg group and the transversal Radon transform. Zbl 1241.43008 Rubin, Boris 11 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 10 2002 Spherical harmonics associated to the Laplace-Bessel operator and generalized spherical convolutions. Zbl 1060.42020 Aliev, Ilham A.; Rubin, Boris 10 2003 Fractional integrals and weakly singular integral equations of the first kind in the \(n\)-dimensional ball. Zbl 0828.45003 Rubin, Boris 9 1994 Inversion of potentials in \(R^ n\) by means of Gauss-Weierstrass integrals. Zbl 0643.31010 Rubin, B. S. 9 1987 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 9 2009 Analytic and group-theoretic aspects of the cosine transform. Zbl 1292.43011 Ólafsson, G.; Pasquale, A.; Rubin, B. 9 2013 Calderón’s reproducing formula and singular integral operators on a real line. Zbl 0853.42006 Rubin, Boris; Shamir, E. 8 1995 On a method for characterization and inversion of Bessel and Riesz potentials. Zbl 0644.42009 Rubin, B. S. 8 1986 Inversion formulae for the spherical mean in odd dimensions and the Euler-Poisson-Darboux equation. Zbl 1141.44002 Rubin, Boris 8 2008 Radial Riesz potentials on the disk and fractional integration operators. Zbl 0566.45020 Karapetjanc, N. K.; Rubin, B. S. 8 1982 An analogue of the Fuglede formula in integral geometry on matrix spaces. Zbl 1088.44500 Ournycheva, Elena; Rubin, Boris 8 2005 Inversion of Radon transforms using wavelet transforms generated by wavelet measures. Zbl 0959.44001 Rubin, Boris 7 1999 Inversion of \(k\)-plane transforms via continuous wavelet transforms. Zbl 0912.44003 Rubin, Boris 7 1998 Semyanistyi’s integrals and Radon transforms on matrix spaces. Zbl 1268.42015 Ournycheva, Elena; Rubin, Boris 7 2008 Fractional integrals and Riesz poentials with radial densities in power weighted spaces. Zbl 0626.46014 Rubin, B. S. 6 1986 Parabolic wavelet transforms and Lebesgue spaces of parabolic potentials. Zbl 1054.42020 Aliev, Ilham A.; Rubin, Boris 6 2002 Fractional integration operators in spaces with weight. Zbl 0543.46016 Karapetyants, N. K.; Rubin, B. S. 5 1984 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 Inversion of parabolic potentials with \(L_ p\)-densities. Zbl 0629.35004 Nogin, V. A.; Rubin, B. S. 5 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. 5 1988 Difference regularization of operators of potential type in \(L_ p\)- spaces. Zbl 0714.47024 Rubin, B. S. 5 1989 The composite cosine transform on the Stiefel manifold and generalized zeta integrals. Zbl 1129.42348 Ournycheva, Elena; Rubin, Boris 5 2006 Null spaces of Radon transforms. Zbl 1334.44002 Estrada, Ricardo; Rubin, Boris 5 2016 Weighted norm inequalities for \(k\)-plane transforms. Zbl 1298.44004 Rubin, B. 5 2014 On two families of Funk-type transforms. Zbl 1462.44002 Agranovsky, M.; Rubin, B. 5 2020 Gebrochene Integrale in Hölderschen Räumen mit Gewicht und Operatoren vom Potentialtyp. Zbl 0327.44005 Rubin, B. S. 5 1974 The vertical slice transform on the unit sphere. Zbl 1445.44003 Rubin, Boris 5 2019 Totally geodesic Radon transform of \(L^p\)-functions on real hyperbolic space. Zbl 1075.44001 Berenstein, Carlos A.; Rubin, Boris 4 2004 Locally controllable regularization of Abel integral equations via operator complementation. Zbl 0898.65096 Gorenflo, Rudolf; Medvedeva, T.; Rubin, Boris 4 1997 On fractional integrals with limiting exponent. Zbl 0664.26003 Karapetyants, N. K.; Rubin, B. S. 4 1988 New inversion formulas for Radon transforms on affine Grassmannians. Zbl 1404.44005 Rubin, Boris; Wang, Yingzhan 4 2018 Non-geodesic spherical Funk transforms with one and two centers. Zbl 1537.44002 Agranovsky, M.; Rubin, Boris 4 2020 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 On Radon transforms between lines and hyperplanes. Zbl 1379.44001 Rubin, Boris; Wang, Yingzhan 4 2017 Semyanistyi fractional integrals and Radon transforms. Zbl 1288.44005 Rubin, Boris 4 2013 Singular integral operators generated by wavelet transforms. Zbl 0933.42008 Ryabogin, Dmitri; Rubin, Boris 3 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 Hypersingular integrals of Marchaud type and the inversion problem for potentials. Zbl 0832.31004 Rubin, Boris 3 1994 The \(k\)-dimensional Radon transform on the \(n\)-sphere and related wavelet transforms. Zbl 0985.44005 Rubin, Boris; Ryabogin, Dmitry 3 2001 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. 3 1982 Description and inversion of Bessel potentials with the help of hypersingular integrals with weighted differences. Zbl 0633.47018 Rubin, B. S. 3 1986 Multiplier operators associated with the Cauchy problem for the wave equation. Difference regularization. Zbl 0703.35099 Rubin, B. S. 3 1989 Bounds for potentials with oscillating kernels related to the Helmholtz equation. Zbl 0723.35023 Nogin, V. A.; Rubin, B. S. 3 1990 Radon transforms over lower-dimensional horospheres in real hyperbolic space. Zbl 1425.44002 Bray, William O.; Rubin, Boris 3 2019 Method of mean value operators for Radon transforms in the space of matrices. Zbl 1155.44001 Ournycheva, E.; Rubin, Boris 3 2008 On some inversion formulas for Riesz potentials and \(k\)-plane transforms. Zbl 1285.47052 Rubin, Boris 3 2012 Radon transforms and Gegenbauer-Chebyshev integrals. II: Examples. Zbl 1375.44003 Rubin, Boris 3 2017 Overdetermined transforms in integral geometry. Zbl 1348.44001 Rubin, B. 3 2015 Erdélyi-Kober fractional integrals and Radon transforms for mutually orthogonal affine planes. Zbl 1462.44003 Rubin, Boris; Wang, Yingzhan 3 2020 New inversion formulas for the horospherical transform. Zbl 1376.44003 Rubin, Boris 3 2017 Über Operatoren vom Potentialtyp auf einem Segment der reellen Achse. Zbl 0278.31002 Rubin, B. S. 3 1973 The inversion of fractional integrals on a sphere. Zbl 0778.46025 Rubin, Boris 2 1992 External circular crack under normal load: A complete solution. Zbl 0827.73054 Fabrikant, V. I.; Rubin, B. S.; Karapetian, E. N. 2 1994 A half-plane crack under tangential load: A complete solution. Zbl 0831.73047 Fabrikant, V. I.; Rubin, B. S.; Karapetian, E. N. 2 1995 Locally controllable regularization of fractional derivatives. Zbl 0815.65142 Gorenflo, Rudolf; Rubin, Boris 2 1994 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 On Y. Nievergelt’s inversion formula for the Radon transform. Zbl 1198.42051 Ournycheva, E.; Rubin, Boris 2 2010 Inversion and description of parabolic potentials with \(L_ p\)- densities. Zbl 0594.47043 Nogin, V. A.; Rubin, B. S. 2 1985 Norm estimates for \(k\)-plane transforms and geometric inequalities. Zbl 1414.44002 Rubin, B. 2 2019 A note on the Blaschke-Petkantschin formula, Riesz distributions, and Drury’s identity. Zbl 1434.44002 Rubin, Boris 2 2018 Riesz potentials and orthogonal Radon transforms on affine Grassmannians. Zbl 1498.44003 Rubin, Boris; Wang, Yingzhan 2 2021 Invariant functions on Grassmannians. Zbl 1256.43003 Ólafsson, Gestur; Rubin, Boris 2 2008 On the spherical slice transform. Zbl 1497.44003 Rubin, Boris 2 2022 The \(\lambda\)-cosine transforms with odd kernel and the hemispherical transform. Zbl 1315.44002 Rubin, Boris 2 2014 The \(\lambda \)-cosine transforms, differential operators, and Funk transforms on Stiefel and Grassmann manifolds. Zbl 1485.44003 Rubin, B. 2 2021 Über Räume gebrochener Integrale auf einer geradlinigen Kontur. Zbl 0253.46062 Rubin, B. S. 2 1972 On the determination of star bodies from their half-sections. Zbl 1375.44002 Rubin, B. 2 2017 Inversion of exponential \(k\)-plane transforms. Zbl 0973.44001 Rubin, Boris 1 2000 On fractional integrals generated by Radon transforms over paraboloids. Zbl 1515.42012 Rubin, Boris 1 2023 On the injectivity of integral operators related to the Euler-Poisson-Darboux equation and shifted \(k\)-plane transforms. Zbl 1525.44002 Rubin, Boris 1 2023 On the hemispherical transform in the half-space and related Radon transforms. Zbl 1530.44003 Rubin, B. 1 2023 On the spherical slice transform. Zbl 1497.44003 Rubin, Boris 2 2022 Riesz potentials and orthogonal Radon transforms on affine Grassmannians. Zbl 1498.44003 Rubin, Boris; Wang, Yingzhan 2 2021 The \(\lambda \)-cosine transforms, differential operators, and Funk transforms on Stiefel and Grassmann manifolds. Zbl 1485.44003 Rubin, B. 2 2021 On two families of Funk-type transforms. Zbl 1462.44002 Agranovsky, M.; Rubin, B. 5 2020 Non-geodesic spherical Funk transforms with one and two centers. Zbl 1537.44002 Agranovsky, M.; Rubin, Boris 4 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 11 2019 The vertical slice transform on the unit sphere. Zbl 1445.44003 Rubin, Boris 5 2019 Radon transforms over lower-dimensional horospheres in real hyperbolic space. Zbl 1425.44002 Bray, William O.; Rubin, Boris 3 2019 Norm estimates for \(k\)-plane transforms and geometric inequalities. Zbl 1414.44002 Rubin, B. 2 2019 New inversion formulas for Radon transforms on affine Grassmannians. Zbl 1404.44005 Rubin, Boris; Wang, Yingzhan 4 2018 A note on the Blaschke-Petkantschin formula, Riesz distributions, and Drury’s identity. Zbl 1434.44002 Rubin, Boris 2 2018 Radon-John transforms and spherical harmonics. Zbl 1402.44002 Estrada, Ricardo; Rubin, Boris 1 2018 On Radon transforms between lines and hyperplanes. Zbl 1379.44001 Rubin, Boris; Wang, Yingzhan 4 2017 Radon transforms and Gegenbauer-Chebyshev integrals. II: Examples. Zbl 1375.44003 Rubin, Boris 3 2017 New inversion formulas for the horospherical transform. Zbl 1376.44003 Rubin, Boris 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 56 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 18 2013 Funk, cosine, and sine transforms on Stiefel and Grassmann manifolds. Zbl 1277.44001 Rubin, B. 13 2013 Analytic and group-theoretic aspects of the cosine transform. Zbl 1292.43011 Ólafsson, G.; Pasquale, A.; Rubin, B. 9 2013 Semyanistyi fractional integrals and Radon transforms. Zbl 1288.44005 Rubin, Boris 4 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 11 2012 On some inversion formulas for Riesz potentials and \(k\)-plane transforms. Zbl 1285.47052 Rubin, Boris 3 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 9 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. 15 2008 Inversion formulae for the spherical mean in odd dimensions and the Euler-Poisson-Darboux equation. Zbl 1141.44002 Rubin, Boris 8 2008 Semyanistyi’s integrals and Radon transforms on matrix spaces. Zbl 1268.42015 Ournycheva, Elena; Rubin, Boris 7 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 14 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 The lower-dimensional Busemann-Petty problem with weights. Zbl 1128.52005 Rubin, Boris 1 2006 Wavelet-like transforms for admissible semi-groups; inversion formulas for potentials and Radon transforms. Zbl 1129.42018 Aliev, Ilham A.; Rubin, Boris 18 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 34 2004 Reconstruction of functions from their integrals over \(k\)-planes. Zbl 1067.44002 Rubin, Boris 32 2004 Radon transforms on affine Grassmannians. Zbl 1049.44003 Rubin, Boris 22 2004 Radon inversion on Grassmannians via Gårding-Gindikin fractional integrals. Zbl 1071.44003 Grinberg, Eric L.; Rubin, Boris 21 2004 Convolution-backprojection method for the \(k\)-plane transform, and Calderón’s identity for ridgelet transforms. Zbl 1042.42036 Rubin, Boris 18 2004 Totally geodesic Radon transform of \(L^p\)-functions on real hyperbolic space. Zbl 1075.44001 Berenstein, Carlos A.; Rubin, Boris 4 2004 Notes on Radon transforms in integral geometry. Zbl 1034.44002 Rubin, Boris 17 2003 Spherical harmonics associated to the Laplace-Bessel operator and generalized spherical convolutions. Zbl 1060.42020 Aliev, Ilham A.; Rubin, Boris 10 2003 Inversion formulas for the spherical Radon transform and the generalized cosine transform. Zbl 1041.44001 Rubin, Boris 38 2002 Radon, cosine and sine transforms on real hyperbolic space. Zbl 1013.43006 Rubin, Boris 17 2002 Helgason-Marchaud inversion formulas for Radon transforms. Zbl 1002.44001 Rubin, Boris 10 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 12 2001 The \(k\)-dimensional Radon transform on the \(n\)-sphere and related wavelet transforms. Zbl 0985.44005 Rubin, Boris; Ryabogin, Dmitry 3 2001 60th anniversary of Professor Stefan Samko. Zbl 1029.01519 Kiryakova, Virginia; Karapetiants, Nikolai K.; Kilbas, Anatoly A.; Rubin, Boris 1 2001 Generalized Minkowski-Funk transforms and small denominators on the sphere. Zbl 1036.42027 Rubin, Boris 15 2000 Inversion of exponential \(k\)-plane transforms. Zbl 0973.44001 Rubin, Boris 1 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 and characterization of the hemispherical transform. Zbl 1054.44500 Rubin, Boris 17 1999 Fractional integrals and wavelet transforms associated with Blaschke-Lévy representations on the sphere. Zbl 1124.42305 Rubin, Boris 15 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 Singular integral operators generated by wavelet transforms. Zbl 0933.42008 Ryabogin, Dmitri; Rubin, Boris 3 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 The Calderón reproducing formula, windowed \(X\)-ray transforms, and Radon transforms in \(L^p\)-spaces. Zbl 0933.42023 Rubin, Boris 28 1998 Fractional calculus and wavelet transforms in integral geometry. Zbl 0938.42024 Rubin, Boris 24 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 7 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 105 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 9 1994 Hypersingular integrals of Marchaud type and the inversion problem for potentials. Zbl 0832.31004 Rubin, Boris 3 1994 External circular crack under normal load: A complete solution. Zbl 0827.73054 Fabrikant, V. I.; Rubin, B. S.; Karapetian, E. N. 2 1994 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 Bounds for potentials with oscillating kernels related to the Helmholtz equation. Zbl 0723.35023 Nogin, V. A.; Rubin, B. S. 3 1990 Multiplier operators connected with the Cauchy problem for the wave equation. Difference regularization. Zbl 0712.35056 Rubin, B. S. 1 1990 Difference regularization of operators of potential type in \(L_ p\)- spaces. Zbl 0714.47024 Rubin, B. S. 5 1989 Multiplier operators associated with the Cauchy problem for the wave equation. Difference regularization. Zbl 0703.35099 Rubin, B. S. 3 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. 5 1988 On fractional integrals with limiting exponent. Zbl 0664.26003 Karapetyants, N. K.; Rubin, B. S. 4 1988 Inversion of potentials in \(R^ n\) by means of Gauss-Weierstrass integrals. Zbl 0643.31010 Rubin, B. S. 9 1987 ...and 19 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 441 Authors 60 Rubin, Boris 15 Aliev, Ilham A. 10 He, Jianxun 10 Samko, Stefan Grigor’evich 9 Estrada, Ricardo 9 Volchkov, Vitaliĭ Vladimirovich 8 Koldobsky, Alexander L. 6 Eryigit, Melih 6 Nogin, Vladimir Aleksandrovich 6 Quellmalz, Michael 5 Bayrakci, Simten 5 Leng, Gangsong 5 Sezer, Sinem 5 Wang, Yingzhan 5 Xiao, Jinsen 4 Abouelaz, Ahmed 4 Çobanoğlu, Selim 4 Gonzalez, Fulton B. 4 Kakehi, Tomoyuki 4 Moon, Sunghwan 4 Ournycheva, Elena 4 Rafeiro, Humberto 4 Ray, Swagato K. 4 Sekin, Çağla 4 Selmi, Belgacem 4 Terzioglu, Fatma 4 Werner, Elisabeth M. 4 Xi, Dongmeng 3 Agranovsky, Mark L. 3 Ciaurri, Óscar 3 Dann, Susanna 3 Doungmo Goufo, Emile Franc 3 Gautier, Eric 3 Gouia-Zarrad, Rim 3 Hielscher, Ralf 3 Huang, Qingzhong 3 Kukushkin, Maksim Vladimirovich 3 Kumar, Ashisha 3 Li, Aijun 3 Lv, Songjun 3 Moroz, Vitaly 3 Ólafsson, Gestur 3 Roy, Souvik 3 Ryabogin, Dmitry 3 Salman, Yehonatan 3 Sonoda, Sho 3 Thim, Johan 3 Van Schaftingen, Jean 3 Volchkova, Natal’ya Petrovna 3 Vozhzhov, D. V. 3 Wang, Weidong 3 Zhang, Genkai 3 Zhou, Jiazu 3 Zymonopoulou, Marisa 2 Antipov, Yuri A. 2 Antoine, Jean-Pierre 2 Arenas, Alberto 2 Bal, Guillaume 2 Bellazzini, Jacopo 2 Bernig, Andreas 2 Bossu, Sébastien 2 Bray, William O. 2 Casadio Tarabusi, Enrico 2 Cerutti, Rubén Alejandro 2 de Nápoli, Pablo Luis 2 Evcan, Sinem Sezer 2 Faifman, Dmitry 2 Fei, Minggang 2 Gadjiev, Akif Djafar oglu 2 Guliyev, Vagif Sabir 2 Haimanko, Ori 2 Hug, Daniel 2 Ihsane, Abdallah 2 Jia, Hongchao 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 Labarga Varona, Edgar 2 Li, Chao 2 Liu, Heping 2 Luca, Renato 2 Luchko, Yurii F. 2 Machado, José António Tenreiro 2 Mercuri, Carlo 2 Milman, Emanuel 2 Mourou, Mohamed Ali 2 Mugisha, Stella 2 Néel, Marie-Christine 2 Nowak, Adam 2 Parhi, Rahul 2 Penzel, Frank 2 Savost’yanova, Irina Mikhaĭlovna 2 Song, Futao 2 Stojanović, Mirjana N. 2 Templier, Nicolas 2 Trimèche, Khalifa ...and 341 more Authors all top 5 Cited in 161 Serials 25 Advances in Mathematics 24 Fractional Calculus & Applied Analysis 20 Integral Transforms and Special Functions 16 Journal of Mathematical Analysis and Applications 14 Transactions of the American Mathematical Society 13 Journal of Functional Analysis 10 Inverse Problems 9 Applied and Computational Harmonic Analysis 9 Analysis and Mathematical Physics 8 Advances in Applied Mathematics 7 The Journal of Fourier Analysis and Applications 6 Israel Journal of Mathematics 6 Analysis and Applications (Singapore) 5 Journal d’Analyse Mathématique 5 Proceedings of the American Mathematical Society 5 Journal of Mathematical Sciences (New York) 5 Mediterranean Journal of Mathematics 4 Annali di Matematica Pura ed Applicata. 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Series A ...and 61 more Serials all top 5 Cited in 50 Fields 172 Integral transforms, operational calculus (44-XX) 99 Harmonic analysis on Euclidean spaces (42-XX) 88 Real functions (26-XX) 70 Operator theory (47-XX) 62 Convex and discrete geometry (52-XX) 54 Partial differential equations (35-XX) 45 Abstract harmonic analysis (43-XX) 44 Functional analysis (46-XX) 32 Differential geometry (53-XX) 30 Numerical analysis (65-XX) 27 Special functions (33-XX) 24 Integral equations (45-XX) 17 Probability theory and stochastic processes (60-XX) 12 Potential theory (31-XX) 11 Number theory (11-XX) 11 Topological groups, Lie groups (22-XX) 10 Combinatorics (05-XX) 10 Statistics (62-XX) 10 Biology and other natural sciences (92-XX) 9 Information and communication theory, circuits (94-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Ordinary differential equations (34-XX) 8 Approximations and expansions (41-XX) 8 Computer science (68-XX) 7 Measure and integration (28-XX) 6 Geometry (51-XX) 5 History and biography (01-XX) 5 Functions of a complex variable (30-XX) 5 Mechanics of deformable solids (74-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Quantum theory (81-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Fluid mechanics (76-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Algebraic geometry (14-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 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Difference and functional equations (39-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