Faifman, Dmitry Quasianalyticity, uncertainty, and integral transforms on higher Grassmannians. (English) Zbl 07797710 Adv. Math. 435, Part A, Article ID 109348, 35 p. (2023). Reviewer: Jinsong Wu (Beijing) MSC: 43A85 43A90 44A12 44A15 26E10 46F12 52A20 52B45 PDFBibTeX XMLCite \textit{D. Faifman}, Adv. Math. 435, Part A, Article ID 109348, 35 p. (2023; Zbl 07797710) Full Text: DOI arXiv
Kukushkin, M. V. Kipriyanov’s fractional calculus prehistory and legacy. (English) Zbl 07792159 Lobachevskii J. Math. 44, No. 8, 3411-3429 (2023). MSC: 47Axx 26Axx 47Bxx PDFBibTeX XMLCite \textit{M. V. Kukushkin}, Lobachevskii J. Math. 44, No. 8, 3411--3429 (2023; Zbl 07792159) Full Text: DOI arXiv
Rubin, Boris Fractional integrals associated with Radon transforms. (English) Zbl 07762877 Forum Math. 35, No. 6, 1727-1759 (2023). MSC: 26A33 42B20 44A12 PDFBibTeX XMLCite \textit{B. Rubin}, Forum Math. 35, No. 6, 1727--1759 (2023; Zbl 07762877) Full Text: DOI arXiv
Mallick, Arka; Nguyen, Hoai-Minh The Caffarelli-Kohn-Nirenberg inequalities for radial functions. (English) Zbl 07755472 C. R., Math., Acad. Sci. Paris 361, 1175-1189 (2023). MSC: 26D10 PDFBibTeX XMLCite \textit{A. Mallick} and \textit{H.-M. Nguyen}, C. R., Math., Acad. Sci. Paris 361, 1175--1189 (2023; Zbl 07755472) Full Text: DOI arXiv
Gutleb, Timon S.; Carrillo, José A.; Olver, Sheehan Computation of power law equilibrium measures on balls of arbitrary dimension. (English) Zbl 1528.65120 Constr. Approx. 58, No. 1, 75-120 (2023). Reviewer: Michael Jung (Dresden) MSC: 65N35 65R20 65K10 35B06 26A33 35R11 PDFBibTeX XMLCite \textit{T. S. Gutleb} et al., Constr. Approx. 58, No. 1, 75--120 (2023; Zbl 1528.65120) Full Text: DOI arXiv
Waheed, Imtiaz; Rehman, Mujeeb Ur On the fractional Fourier transforms with respect to functions and its applications. (English) Zbl 07700527 Comput. Appl. Math. 42, No. 5, Paper No. 220, 24 p. (2023). MSC: 26A33 42A38 PDFBibTeX XMLCite \textit{I. Waheed} and \textit{M. U. Rehman}, Comput. Appl. Math. 42, No. 5, Paper No. 220, 24 p. (2023; Zbl 07700527) Full Text: DOI
Eryiğit, Melih; Yıldız, Güldane; Bayrakci, Simten; Sezer, Sinem On Flett potentials associated with the Laplace-Bessel differential operator. (English) Zbl 1517.35010 Ann. Funct. Anal. 14, No. 3, Paper No. 58, 16 p. (2023). MSC: 35A22 26A33 45P05 PDFBibTeX XMLCite \textit{M. Eryiğit} et al., Ann. Funct. Anal. 14, No. 3, Paper No. 58, 16 p. (2023; Zbl 1517.35010) Full Text: DOI
Rubin, Boris On fractional integrals generated by Radon transforms over paraboloids. (English) Zbl 1515.42012 Forum Math. 35, No. 3, 863-881 (2023). MSC: 42B20 42B10 47G10 44A12 26A33 PDFBibTeX XMLCite \textit{B. Rubin}, Forum Math. 35, No. 3, 863--881 (2023; Zbl 1515.42012) Full Text: DOI arXiv
Li, Wenxin; Lian, Pan The Fourier transform associated to the \(k\)-hyperbolic Dirac operator. (English) Zbl 07687966 Adv. Appl. Clifford Algebr. 33, No. 3, Paper No. 26, 20 p. (2023). MSC: 47E07 43A32 42A38 15A66 17B10 17B65 33C45 33C80 33C50 26A33 PDFBibTeX XMLCite \textit{W. Li} and \textit{P. Lian}, Adv. Appl. Clifford Algebr. 33, No. 3, Paper No. 26, 20 p. (2023; Zbl 07687966) Full Text: DOI
Santoyo Cano, Alejandro; Uribe Bravo, Gerónimo A Meyer-Itô formula for stable processes via fractional calculus. (English) Zbl 1511.60099 Fract. Calc. Appl. Anal. 26, No. 2, 619-650 (2023). MSC: 60H15 60H25 26A33 60G18 60G52 35R11 35R60 PDFBibTeX XMLCite \textit{A. Santoyo Cano} and \textit{G. Uribe Bravo}, Fract. Calc. Appl. Anal. 26, No. 2, 619--650 (2023; Zbl 1511.60099) Full Text: DOI arXiv
Amagai, Kohei; Nakai, Eiichi; Sadasue, Gaku Generalized fractional integral operators based on symmetric Markovian semigroups with application to the Heisenberg group. (English) Zbl 07658408 Taiwanese J. Math. 27, No. 1, 113-139 (2023). MSC: 47G10 46E30 60G46 26D10 47D07 PDFBibTeX XMLCite \textit{K. Amagai} et al., Taiwanese J. Math. 27, No. 1, 113--139 (2023; Zbl 07658408) Full Text: DOI Link
Rafeiro, Humberto; Samko, Stefan; Umarkhadzhiev, Salaudin Grand Lebesgue space for \(p=\infty\) and its application to Sobolev-Adams embedding theorems in borderline cases. (English) Zbl 07747279 Math. Nachr. 295, No. 5, 991-1007 (2022). MSC: 46E30 26A33 PDFBibTeX XMLCite \textit{H. Rafeiro} et al., Math. Nachr. 295, No. 5, 991--1007 (2022; Zbl 07747279) Full Text: DOI
Jia, Hongchao; Tao, Jin; Yang, Dachun; Yuan, Wen; Zhang, Yangyang Boundedness of fractional integrals on special John-Nirenberg-Campanato and Hardy-type spaces via congruent cubes. (English) Zbl 1503.26009 Fract. Calc. Appl. Anal. 25, No. 6, 2446-2487 (2022). MSC: 26A33 42B20 47A30 42B30 PDFBibTeX XMLCite \textit{H. Jia} et al., Fract. Calc. Appl. Anal. 25, No. 6, 2446--2487 (2022; Zbl 1503.26009) Full Text: DOI arXiv
Wang, Yingzhan Strichartz’s Radon transforms for mutually orthogonal affine planes and fractional integrals. (English) Zbl 1503.44001 Fract. Calc. Appl. Anal. 25, No. 5, 1971-1993 (2022). MSC: 44A12 44A15 47G10 26A33 PDFBibTeX XMLCite \textit{Y. Wang}, Fract. Calc. Appl. Anal. 25, No. 5, 1971--1993 (2022; Zbl 1503.44001) Full Text: DOI
Fang, Niufa; Zhou, Jiazu The Busemann-Petty problem on entropy of log-concave functions. (English) Zbl 1498.52015 Sci. China, Math. 65, No. 10, 2171-2182 (2022). MSC: 52A41 26D20 PDFBibTeX XMLCite \textit{N. Fang} and \textit{J. Zhou}, Sci. China, Math. 65, No. 10, 2171--2182 (2022; Zbl 1498.52015) Full Text: DOI arXiv
Yakhshiboev, M. U. Relations between one-sided ball potentials. (English. Russian original) Zbl 1505.43009 J. Math. Sci., New York 264, No. 6, 794-805 (2022); translation from Sovrem. Mat., Fundam. Napravl. 64, No. 4, 736-748 (2018). MSC: 43A90 42B20 26A33 44A20 PDFBibTeX XMLCite \textit{M. U. Yakhshiboev}, J. Math. Sci., New York 264, No. 6, 794--805 (2022; Zbl 1505.43009); translation from Sovrem. Mat., Fundam. Napravl. 64, No. 4, 736--748 (2018) Full Text: DOI
Sekin, Çağla A generalization of parabolic potentials associated to Laplace-Bessel differential operator and its behavior in the weighted Lebesque spaces. (English) Zbl 1509.47075 Turk. J. Math. 45, No. 1, 566-578 (2021). MSC: 47G40 47G10 26A33 PDFBibTeX XMLCite \textit{Ç. Sekin}, Turk. J. Math. 45, No. 1, 566--578 (2021; Zbl 1509.47075) Full Text: DOI
Rubin, Boris; Wang, Yingzhan Riesz potentials and orthogonal Radon transforms on affine Grassmannians. (English) Zbl 1498.44003 Fract. Calc. Appl. Anal. 24, No. 2, 376-392 (2021). MSC: 44A12 47G10 26A33 PDFBibTeX XMLCite \textit{B. Rubin} and \textit{Y. Wang}, Fract. Calc. Appl. Anal. 24, No. 2, 376--392 (2021; Zbl 1498.44003) Full Text: DOI
Li, Qiang; Wang, Guotao; Wei, Mei Monotone iterative technique for time-space fractional diffusion equations involving delay. (English) Zbl 1466.35361 Nonlinear Anal., Model. Control 26, No. 2, 241-258 (2021). MSC: 35R11 35K20 26A33 47D06 PDFBibTeX XMLCite \textit{Q. Li} et al., Nonlinear Anal., Model. Control 26, No. 2, 241--258 (2021; Zbl 1466.35361) Full Text: DOI
Avetisyan, K. Fractional integration in weighted Lebesgue spaces. (English. Russian original) Zbl 1468.26003 J. Contemp. Math. Anal., Armen. Acad. Sci. 56, No. 2, 57-67 (2021); translation from Izv. Nats. Akad. Nauk Armen., Mat. 56, No. 2, 3-17 (2021). MSC: 26A33 26D10 PDFBibTeX XMLCite \textit{K. Avetisyan}, J. Contemp. Math. Anal., Armen. Acad. Sci. 56, No. 2, 57--67 (2021; Zbl 1468.26003); translation from Izv. Nats. Akad. Nauk Armen., Mat. 56, No. 2, 3--17 (2021) Full Text: DOI
Komori-Furuya, Yasuo A note on weighted estimates for bilinear fractional integral operators. (English) Zbl 1469.26022 Math. Inequal. Appl. 24, No. 2, 515-519 (2021). MSC: 26D10 26A33 42B20 42B25 PDFBibTeX XMLCite \textit{Y. Komori-Furuya}, Math. Inequal. Appl. 24, No. 2, 515--519 (2021; Zbl 1469.26022) Full Text: DOI
Takada, Ryo; Yoneda, Keiji Higher-order interpolation inequalities with weights for radial functions. (English) Zbl 1458.26026 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 203, Article ID 112158, 13 p. (2021). Reviewer: V. Lokesha (Bangalore) MSC: 26D10 46E35 PDFBibTeX XMLCite \textit{R. Takada} and \textit{K. Yoneda}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 203, Article ID 112158, 13 p. (2021; Zbl 1458.26026) Full Text: DOI
Sinem, S. E.; Melih, E.; Selim, Ç. The rate of convergence of truncated hypersingular integrals generated by the generalized Poisson semigroup. (English) Zbl 07437694 Res. Math. 28, No. 1, 29-42 (2020). MSC: 47Dxx 41A35 26A33 44A35 PDFBibTeX XMLCite \textit{S. E. Sinem} et al., Res. Math. 28, No. 1, 29--42 (2020; Zbl 07437694) Full Text: DOI
Evcan, Sinem Sezer; Eryiğit, Melih; Çobanoğlu, Selim A Balakrishnan-Rubin type hypersingular integral operator and inversion of Flett potentials. (English) Zbl 1499.42064 Hacet. J. Math. Stat. 49, No. 4, 1405-1413 (2020). MSC: 42B20 26A33 44A35 PDFBibTeX XMLCite \textit{S. S. Evcan} et al., Hacet. J. Math. Stat. 49, No. 4, 1405--1413 (2020; Zbl 1499.42064) Full Text: DOI
Srivastava, Hari Mohan Fractional-order derivatives and integrals: introductory overview and recent developments. (English) Zbl 1453.26008 Kyungpook Math. J. 60, No. 1, 73-116 (2020). Reviewer: Javier Gallegos (Santiago de Chile) MSC: 26A33 33B15 33Cxx 33E12 34A08 44A10 PDFBibTeX XMLCite \textit{H. M. Srivastava}, Kyungpook Math. J. 60, No. 1, 73--116 (2020; Zbl 1453.26008) Full Text: DOI
Aliev, Ilham A.; Sekin, Çağla A generalization of parabolic Riesz and parabolic Bessel potentials. (English) Zbl 1518.47083 Rocky Mt. J. Math. 50, No. 3, 815-824 (2020). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 47G40 47G10 26A33 47B38 PDFBibTeX XMLCite \textit{I. A. Aliev} and \textit{Ç. Sekin}, Rocky Mt. J. Math. 50, No. 3, 815--824 (2020; Zbl 1518.47083) Full Text: DOI Euclid
Shishkina, E. L. Inversion of hyperbolic \(B\)-potentials. (English) Zbl 1501.47088 Kravchenko, Vladislav V. (ed.) et al., Transmutation operators and applications. Cham: Birkhäuser. Trends Math., 237-291 (2020). Reviewer: Sergei S. Platonov (Petrozavodsk) MSC: 47G10 47F05 47E05 44A15 26A33 PDFBibTeX XMLCite \textit{E. L. Shishkina}, in: Transmutation operators and applications. Cham: Birkhäuser. 237--291 (2020; Zbl 1501.47088) Full Text: DOI
Sarwar, Shahzad Finite part integrals associated with Riesz and Hilfer derivatives. (English) Zbl 1434.26013 Fractals 27, No. 5, Article ID 1950078, 8 p. (2019). MSC: 26A33 PDFBibTeX XMLCite \textit{S. Sarwar}, Fractals 27, No. 5, Article ID 1950078, 8 p. (2019; Zbl 1434.26013) Full Text: DOI
Kukushkin, Maksim V. Riemann-Liouville operator in weighted \(L_p\) spaces via the Jacobi series expansion. (English) Zbl 1437.47022 Axioms 8, No. 2, Paper No. 75, 22 p. (2019). MSC: 47G10 26A33 47A46 33C45 PDFBibTeX XMLCite \textit{M. V. Kukushkin}, Axioms 8, No. 2, Paper No. 75, 22 p. (2019; Zbl 1437.47022) Full Text: DOI arXiv
De Nápoli, Pablo Luis; Stinga, Pablo Raúl Fractional Laplacians on the sphere, the Minakshisundaram zeta function and semigroups. (English) Zbl 1517.35101 Danielli, Donatella (ed.) et al., New developments in the analysis of nonlocal operators. AMS special session, University of St. Thomas, Minneapolis, MN, USA, October 28–30, 2016. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 723, 167-189 (2019). MSC: 35J05 47D06 11M35 11M41 26A33 35K08 35R11 PDFBibTeX XMLCite \textit{P. L. De Nápoli} and \textit{P. R. Stinga}, Contemp. Math. 723, 167--189 (2019; Zbl 1517.35101) Full Text: DOI arXiv
Bourdin, Loïc Weighted Hölder continuity of Riemann-Liouville fractional integrals – application to regularity of solutions to fractional Cauchy problems with Carathéodory dynamics. (English) Zbl 1428.34009 Fract. Calc. Appl. Anal. 22, No. 3, 722-749 (2019). MSC: 34A08 26A33 34A12 34A34 PDFBibTeX XMLCite \textit{L. Bourdin}, Fract. Calc. Appl. Anal. 22, No. 3, 722--749 (2019; Zbl 1428.34009) Full Text: DOI HAL
Estrada, Ricardo; Rubin, Boris Radon-John transforms and spherical harmonics. (English) Zbl 1402.44002 Christensen, Jens Gerlach (ed.) et al., Representation theory and harmonic analysis on symmetric spaces. AMS special session on harmonic analysis, in honor of Gestur Ólafsson’s 65th birthday, Atlanta, GA, USA, January 4, 2017. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4070-1/pbk; 978-1-4704-4884-4/ebook). Contemporary Mathematics 714, 131-142 (2018). MSC: 44A12 26A33 PDFBibTeX XMLCite \textit{R. Estrada} and \textit{B. Rubin}, Contemp. Math. 714, 131--142 (2018; Zbl 1402.44002) Full Text: DOI
Aliev, Ilham A.; Yucel, Sinem Some generalizations of Bessel and Flett potentials associated to the Laplace-Bessel differential operator. (English) Zbl 1384.33011 Integral Transforms Spec. Funct. 29, No. 3, 235-251 (2018). MSC: 33C10 26A33 42C40 PDFBibTeX XMLCite \textit{I. A. Aliev} and \textit{S. Yucel}, Integral Transforms Spec. Funct. 29, No. 3, 235--251 (2018; Zbl 1384.33011) Full Text: DOI
Eryiğit, Melih; Çobanoğlu, Selim On the rate of \(L_p\)-convergence of Balakrishnan-Rubin-type hypersingular integrals associated to the Gauss-Weierstrass semigroup. (English) Zbl 1424.26008 Turk. J. Math. 41, No. 6, 1376-1384 (2017). MSC: 26A33 42B20 44A35 PDFBibTeX XMLCite \textit{M. Eryiğit} and \textit{S. Çobanoğlu}, Turk. J. Math. 41, No. 6, 1376--1384 (2017; Zbl 1424.26008) Full Text: DOI
Rubin, Boris Radon transforms and Gegenbauer-Chebyshev integrals. I. (English) Zbl 1382.44002 Anal. Math. Phys. 7, No. 2, 117-150 (2017). Reviewer: Rainer Felix (Eichstätt) MSC: 44A12 44A15 26A33 PDFBibTeX XMLCite \textit{B. Rubin}, Anal. Math. Phys. 7, No. 2, 117--150 (2017; Zbl 1382.44002) Full Text: DOI
Machado, J. A. Tenreiro; Kiryakova, Virginia Historical survey: the chronicles of fractional calculus. (English) Zbl 1364.26002 Fract. Calc. Appl. Anal. 20, No. 2, 307-336 (2017). MSC: 26-03 26A33 01A60 01A61 01A67 34A08 35R11 60G22 PDFBibTeX XMLCite \textit{J. A. T. Machado} and \textit{V. Kiryakova}, Fract. Calc. Appl. Anal. 20, No. 2, 307--336 (2017; Zbl 1364.26002) Full Text: DOI
Rubin, Boris New inversion formulas for the horospherical transform. (English) Zbl 1376.44003 J. Geom. Anal. 27, No. 1, 908-946 (2017). Reviewer: Rainer Felix (Eichstätt) MSC: 44A12 44A15 51M10 26A33 PDFBibTeX XMLCite \textit{B. Rubin}, J. Geom. Anal. 27, No. 1, 908--946 (2017; Zbl 1376.44003) Full Text: DOI arXiv
Karcı, Ali New approach for fractional order derivatives: fundamentals and analytic properties. (English) Zbl 1359.26008 Mathematics 4, No. 2, Paper No. 30, 15 p. (2016). MSC: 26A33 PDFBibTeX XMLCite \textit{A. Karcı}, Mathematics 4, No. 2, Paper No. 30, 15 p. (2016; Zbl 1359.26008) Full Text: DOI
Hamrouni, Wafa; Abdennadher, Ali Random walk’s models for fractional diffusion equation. (English) Zbl 1350.60076 Discrete Contin. Dyn. Syst., Ser. B 21, No. 8, 2509-2530 (2016). MSC: 60J60 60G50 35R11 35R09 45K05 26A33 PDFBibTeX XMLCite \textit{W. Hamrouni} and \textit{A. Abdennadher}, Discrete Contin. Dyn. Syst., Ser. B 21, No. 8, 2509--2530 (2016; Zbl 1350.60076) Full Text: DOI
Rafeiro, Humberto; Samko, Stefan Fractional integrals and derivatives: mapping properties. (English) Zbl 1351.26016 Fract. Calc. Appl. Anal. 19, No. 3, 580-607 (2016). Reviewer: Boris Rubin (Baton Rouge) MSC: 26A33 46E30 PDFBibTeX XMLCite \textit{H. Rafeiro} and \textit{S. Samko}, Fract. Calc. Appl. Anal. 19, No. 3, 580--607 (2016; Zbl 1351.26016) Full Text: DOI Link
Thim, Johan Asymptotics and inversion of Riesz potentials through decomposition in radial and spherical parts. (English) Zbl 1334.47050 Ann. Mat. Pura Appl. (4) 195, No. 2, 323-341 (2016). MSC: 47G40 45E99 26A33 PDFBibTeX XMLCite \textit{J. Thim}, Ann. Mat. Pura Appl. (4) 195, No. 2, 323--341 (2016; Zbl 1334.47050) Full Text: DOI
Liflyand, E. Integrability spaces for the Fourier transform of a function of bounded variation. (English) Zbl 1341.42009 J. Math. Anal. Appl. 436, No. 2, 1082-1101 (2016). Reviewer: Dohan Kim (Seoul) MSC: 42A38 42B10 26A45 PDFBibTeX XMLCite \textit{E. Liflyand}, J. Math. Anal. Appl. 436, No. 2, 1082--1101 (2016; Zbl 1341.42009) Full Text: DOI arXiv
Estrada, Ricardo; Rubin, Boris Null spaces of Radon transforms. (English) Zbl 1334.44002 Adv. Math. 290, 1159-1182 (2016). MSC: 44A12 26A33 44A15 PDFBibTeX XMLCite \textit{R. Estrada} and \textit{B. Rubin}, Adv. Math. 290, 1159--1182 (2016; Zbl 1334.44002) Full Text: DOI arXiv
Doungmo Goufo, Emile Franc; Mugisha, Stella Positivity and contractivity in the dynamics of clusters’ splitting with derivative of fractional order. (English) Zbl 1499.35630 Open Math. 13, 351-362 (2015). MSC: 35R11 26A33 34A12 PDFBibTeX XMLCite \textit{E. F. Doungmo Goufo} and \textit{S. Mugisha}, Open Math. 13, 351--362 (2015; Zbl 1499.35630) Full Text: DOI
De Nápoli, Pablo L.; Drelichman, Irene Weighted convolution inequalities for radial functions. (English) Zbl 1316.44003 Ann. Mat. Pura Appl. (4) 194, No. 1, 167-181 (2015). Reviewer: D. K. Ugulawa (Tbilisi) MSC: 44A35 42A85 26D15 46E35 PDFBibTeX XMLCite \textit{P. L. De Nápoli} and \textit{I. Drelichman}, Ann. Mat. Pura Appl. (4) 194, No. 1, 167--181 (2015; Zbl 1316.44003) Full Text: DOI arXiv Link
Rubin, Boris The \(\lambda\)-cosine transforms with odd kernel and the hemispherical transform. (English) Zbl 1315.44002 Fract. Calc. Appl. Anal. 17, No. 3, 765-806 (2014). Reviewer: Rainer Felix (Eichstätt) MSC: 44A12 26A33 33C55 47G10 PDFBibTeX XMLCite \textit{B. Rubin}, Fract. Calc. Appl. Anal. 17, No. 3, 765--806 (2014; Zbl 1315.44002) Full Text: DOI
Caglar, Umut; Werner, Elisabeth M. Divergence for \(s\)-concave and log concave functions. (English) Zbl 1310.26016 Adv. Math. 257, 219-247 (2014). MSC: 26D07 52A40 52A41 PDFBibTeX XMLCite \textit{U. Caglar} and \textit{E. M. Werner}, Adv. Math. 257, 219--247 (2014; Zbl 1310.26016) Full Text: DOI arXiv
Machado, J. Tenreiro; Galhano, Alexandra M.; Trujillo, Juan J. Science metrics on fractional calculus development since 1966. (English) Zbl 1312.26004 Fract. Calc. Appl. Anal. 16, No. 2, 479-500 (2013). MSC: 26-03 26A33 01A90 01A60 01A61 PDFBibTeX XMLCite \textit{J. T. Machado} et al., Fract. Calc. Appl. Anal. 16, No. 2, 479--500 (2013; Zbl 1312.26004) Full Text: DOI Link
Duoandikoetxea, Javier Fractional integrals on radial functions with applications to weighted inequalities. (English) Zbl 1279.47073 Ann. Mat. Pura Appl. (4) 192, No. 4, 553-568 (2013). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 47G40 26A33 PDFBibTeX XMLCite \textit{J. Duoandikoetxea}, Ann. Mat. Pura Appl. (4) 192, No. 4, 553--568 (2013; Zbl 1279.47073) Full Text: DOI
Tarasov, Vasily E. Review of some promising fractional physical models. (English) Zbl 1267.34012 Int. J. Mod. Phys. B 27, No. 9, Article ID 1330005 (2013). MSC: 34A08 26A33 PDFBibTeX XMLCite \textit{V. E. Tarasov}, Int. J. Mod. Phys. B 27, No. 9, Article ID 1330005 (2013; Zbl 1267.34012) Full Text: DOI arXiv
Williams, Paul Anthony Fractional calculus on time scales with Taylor’s theorem. (English) Zbl 1312.26059 Fract. Calc. Appl. Anal. 15, No. 4, 616-638 (2012). MSC: 26E70 26A33 PDFBibTeX XMLCite \textit{P. A. Williams}, Fract. Calc. Appl. Anal. 15, No. 4, 616--638 (2012; Zbl 1312.26059) Full Text: DOI
Stojanović, Mirjana Foundation of the fractional calculus in generalized function algebras. (English) Zbl 1254.26015 Anal. Appl., Singap. 10, No. 4, 439-467 (2012). MSC: 26A33 34A08 35R11 PDFBibTeX XMLCite \textit{M. Stojanović}, Anal. Appl., Singap. 10, No. 4, 439--467 (2012; Zbl 1254.26015) Full Text: DOI
D’Ancona, Piero; Luca, Renato Stein-Weiss and Caffarelli-Kohn-Nirenberg inequalities with angular integrability. (English) Zbl 1234.26043 J. Math. Anal. Appl. 388, No. 2, 1061-1079 (2012). MSC: 26D10 26A33 PDFBibTeX XMLCite \textit{P. D'Ancona} and \textit{R. Luca}, J. Math. Anal. Appl. 388, No. 2, 1061--1079 (2012; Zbl 1234.26043) Full Text: DOI arXiv
Atkinson, Colin; Osseiran, Adel Discrete-space time-fractional processes. (English) Zbl 1312.60040 Fract. Calc. Appl. Anal. 14, No. 2, 201-232 (2011). MSC: 60G22 26A33 35R11 33E12 PDFBibTeX XMLCite \textit{C. Atkinson} and \textit{A. Osseiran}, Fract. Calc. Appl. Anal. 14, No. 2, 201--232 (2011; Zbl 1312.60040) Full Text: DOI
Stojanović, Mirjana Fractional derivatives in spaces of generalized functions. (English) Zbl 1273.26012 Fract. Calc. Appl. Anal. 14, No. 1, 125-137 (2011). MSC: 26A33 46F10 58C05 PDFBibTeX XMLCite \textit{M. Stojanović}, Fract. Calc. Appl. Anal. 14, No. 1, 125--137 (2011; Zbl 1273.26012) Full Text: DOI Link
Luchko, Yury; Mainardi, Francesco; Rogosin, Sergei Professor Rudolf Gorenflo and his contribution to fractional calculus. (English) Zbl 1273.01048 Fract. Calc. Appl. Anal. 14, No. 1, 3-18 (2011). MSC: 01A70 01A60 26-03 26A33 PDFBibTeX XMLCite \textit{Y. Luchko} et al., Fract. Calc. Appl. Anal. 14, No. 1, 3--18 (2011; Zbl 1273.01048) Full Text: DOI Link
Aliev, Ilham A.; Bayrakci, Simten Square-like functions generated by a composite wavelet transform. (English) Zbl 1232.42028 Mediterr. J. Math. 8, No. 4, 553-561 (2011). MSC: 42C40 44A35 26D15 PDFBibTeX XMLCite \textit{I. A. Aliev} and \textit{S. Bayrakci}, Mediterr. J. Math. 8, No. 4, 553--561 (2011; Zbl 1232.42028) Full Text: DOI
Vázquez, Luis From Newton’s equation to fractional diffusion and wave equations. (English) Zbl 1213.26012 Adv. Difference Equ. 2011, Article ID 169421, 13 p. (2011). MSC: 26A33 PDFBibTeX XMLCite \textit{L. Vázquez}, Adv. Difference Equ. 2011, Article ID 169421, 13 p. (2011; Zbl 1213.26012) Full Text: DOI EuDML
Xiao, Jinsen; He, Jianxun Riesz potential on the Heisenberg group. (English) Zbl 1230.26014 J. Inequal. Appl. 2011, Article ID 498638, 13 p. (2011). Reviewer: Bicheng Yang (Guangdong) MSC: 26D15 PDFBibTeX XMLCite \textit{J. Xiao} and \textit{J. He}, J. Inequal. Appl. 2011, Article ID 498638, 13 p. (2011; Zbl 1230.26014) Full Text: DOI EuDML
Kilbas, A. A.; Luchko, Yu. F.; Martínez, H.; Trujillo, J. J. Fractional Fourier transform in the framework of fractional calculus operators. (English) Zbl 1205.42010 Integral Transforms Spec. Funct. 21, No. 9-10, 779-795 (2010). Reviewer: Som Prakash Goyal (Jaipur) MSC: 42A38 26A33 35A22 35L15 44A10 33E12 PDFBibTeX XMLCite \textit{A. A. Kilbas} et al., Integral Transforms Spec. Funct. 21, No. 9--10, 779--795 (2010; Zbl 1205.42010) Full Text: DOI
Sarikaya, Mehmet Zeki; Yildirim, Hüseyin On Gauss-Weierstrass semigroups and inversion of potentials associated with the Bessel differential operator. (English) Zbl 1180.26004 Acta Math. Sin., Engl. Ser. 25, No. 10, 1741-1758 (2009). MSC: 26A33 44A35 47B37 PDFBibTeX XMLCite \textit{M. Z. Sarikaya} and \textit{H. Yildirim}, Acta Math. Sin., Engl. Ser. 25, No. 10, 1741--1758 (2009; Zbl 1180.26004) Full Text: DOI
Cardoso, R.; Samko, S. Weighted generalized Hölder spaces as wellposedness classes for Sonine integral equations. (English) Zbl 1158.45001 J. Integral Equations Appl. 20, No. 4, 437-480 (2008). Reviewer: Denis Sidorov (Irkutsk) MSC: 45D05 45P05 26A16 PDFBibTeX XMLCite \textit{R. Cardoso} and \textit{S. Samko}, J. Integral Equations Appl. 20, No. 4, 437--480 (2008; Zbl 1158.45001) Full Text: DOI
Gots, Ekaterina; Lyakhov, Lev On a Radon transform. (English) Zbl 1286.44001 Bastos, Maria Amélia (ed.) et al., Operator algebras, operator theory and applications. Selected papers of the international summer school and workshop, WOAT 2006, Lisbon, Portugal, September 1–5, 2006. Basel: Birkhäuser (ISBN 978-3-7643-8683-2/hbk). Operator Theory: Advances and Applications 181, 187-199 (2008). MSC: 44A12 26A33 42B20 PDFBibTeX XMLCite \textit{E. Gots} and \textit{L. Lyakhov}, Oper. Theory: Adv. Appl. 181, 187--199 (2008; Zbl 1286.44001) Full Text: DOI
Ournycheva, E.; Rubin, Boris Method of mean value operators for Radon transforms in the space of matrices. (English) Zbl 1155.44001 Int. J. Math. 19, No. 3, 245-283 (2008). Reviewer: Takeshi Kawazoe (Yokohama) MSC: 44A12 26A33 PDFBibTeX XMLCite \textit{E. Ournycheva} and \textit{B. Rubin}, Int. J. Math. 19, No. 3, 245--283 (2008; Zbl 1155.44001) Full Text: DOI
Zhang, Genkai Radon transform on real, complex, and quaternionic Grassmannians. (English) Zbl 1125.26013 Duke Math. J. 138, No. 1, 137-160 (2007). Reviewer: Mridula Garg (Jaipur) MSC: 26A33 57S15 43A85 PDFBibTeX XMLCite \textit{G. Zhang}, Duke Math. J. 138, No. 1, 137--160 (2007; Zbl 1125.26013) Full Text: DOI arXiv
Katori, Makoto; Tanemura, Hideki Infinite systems of noncolliding generalized meanders and Riemann-Liouville differintegrals. (English) Zbl 1116.60042 Probab. Theory Relat. Fields 138, No. 1-2, 113-156 (2007). MSC: 60J60 15B52 26A33 60G55 PDFBibTeX XMLCite \textit{M. Katori} and \textit{H. Tanemura}, Probab. Theory Relat. Fields 138, No. 1--2, 113--156 (2007; Zbl 1116.60042) Full Text: DOI arXiv
Uyhan, Simten B.; Gadjiev, A. D.; Aliev, Ilham A. On approximation properties of the parabolic potentials. (English) Zbl 1114.26008 Bull. Aust. Math. Soc. 74, No. 3, 449-460 (2006). Reviewer: Nasser-eddine Tatar (Dhahran) MSC: 26A33 41A35 PDFBibTeX XMLCite \textit{S. B. Uyhan} et al., Bull. Aust. Math. Soc. 74, No. 3, 449--460 (2006; Zbl 1114.26008) Full Text: DOI
Aliev, Ilham A.; Gadjiev, A. D.; Aral, A. On approximation properties of a family of linear operators at critical value of parameter. (English) Zbl 1091.41018 J. Approximation Theory 138, No. 2, 242-253 (2006). Reviewer: Stefan G. Samko (Faro) MSC: 41A35 26A33 PDFBibTeX XMLCite \textit{I. A. Aliev} et al., J. Approx. Theory 138, No. 2, 242--253 (2006; Zbl 1091.41018) Full Text: DOI
Karasev, D. N.; Nogin, V. A. \(L_p\)-\(L_q\) estimates for the Bochner-Riesz operator of complex order. (English) Zbl 1037.46030 Z. Anal. Anwend. 21, No. 4, 915-929 (2002). Reviewer: Dagmar Medková (Praha) MSC: 46E35 26A33 PDFBibTeX XMLCite \textit{D. N. Karasev} and \textit{V. A. Nogin}, Z. Anal. Anwend. 21, No. 4, 915--929 (2002; Zbl 1037.46030) Full Text: DOI
Rubin, Boris Inversion formulas for the spherical Radon transform and the generalized cosine transform. (English) Zbl 1041.44001 Adv. Appl. Math. 29, No. 3, 471-497 (2002). Reviewer: C. L. Parihar (Indore) MSC: 44A12 26A33 42A38 65R10 PDFBibTeX XMLCite \textit{B. Rubin}, Adv. Appl. Math. 29, No. 3, 471--497 (2002; Zbl 1041.44001) Full Text: DOI
Rubin, Boris Helgason-Marchaud inversion formulas for Radon transforms. (English) Zbl 1002.44001 Proc. Am. Math. Soc. 130, No. 10, 3017-3023 (2002). Reviewer: Khalifa Trimèche (Tunis) MSC: 44A12 52A22 53C65 26A33 PDFBibTeX XMLCite \textit{B. Rubin}, Proc. Am. Math. Soc. 130, No. 10, 3017--3023 (2002; Zbl 1002.44001) Full Text: DOI
Dinh Nho Hào; Mai Thi Thu Stability results for fractional differentiation. (English) Zbl 1018.26004 Appl. Anal. 76, No. 3-4, 249-260 (2000). MSC: 26A33 65D25 65J20 PDFBibTeX XMLCite \textit{Dinh Nho Hào} and \textit{Mai Thi Thu}, Appl. Anal. 76, No. 3--4, 249--260 (2000; Zbl 1018.26004) Full Text: DOI
Jacob, N.; Schilling, R. L. Fractional derivatives, non-symmetric and time-dependent Dirichlet forms and the drift form. (English) Zbl 0970.31008 Z. Anal. Anwend. 19, No. 3, 801-830 (2000). Reviewer: Renming Song (Urbana) MSC: 31C25 47D07 26A33 PDFBibTeX XMLCite \textit{N. Jacob} and \textit{R. L. Schilling}, Z. Anal. Anwend. 19, No. 3, 801--830 (2000; Zbl 0970.31008) Full Text: DOI EuDML
Rubin, Boris Fractional integrals and wavelet transforms associated with Blaschke-Lévy representations on the sphere. (English) Zbl 1124.42305 Isr. J. Math. 114, 1-27 (1999). MSC: 42C40 26A33 43A85 44A12 PDFBibTeX XMLCite \textit{B. Rubin}, Isr. J. Math. 114, 1--27 (1999; Zbl 1124.42305) Full Text: DOI
Berenstein, Carlos A.; Rubin, Boris Radon transform of \(L^p\)-functions on the Lobachevsky space and hyperbolic wavelet transforms. (English) Zbl 0938.44001 Forum Math. 11, No. 5, 567-590 (1999). Reviewer: Kh.N.Boyadzhiev (Ada) MSC: 44A12 42C40 26A33 PDFBibTeX XMLCite \textit{C. A. Berenstein} and \textit{B. Rubin}, Forum Math. 11, No. 5, 567--590 (1999; Zbl 0938.44001) Full Text: DOI
Rubin, Boris Inversion of \(k\)-plane transforms via continuous wavelet transforms. (English) Zbl 0912.44003 J. Math. Anal. Appl. 220, No. 1, 187-203 (1998). Reviewer: Richard A.Zalik (Auburn University) MSC: 44A12 42C40 26A33 PDFBibTeX XMLCite \textit{B. Rubin}, J. Math. Anal. Appl. 220, No. 1, 187--203 (1998; Zbl 0912.44003) Full Text: DOI
Rubin, Boris Inversion of fractional integrals related to the spherical Radon transform. (English) Zbl 0910.42006 J. Funct. Anal. 157, No. 2, 470-487 (1998). Reviewer: S.G.Samko (Faro) MSC: 42B15 44A12 26A33 PDFBibTeX XMLCite \textit{B. Rubin}, J. Funct. Anal. 157, No. 2, 470--487 (1998; Zbl 0910.42006) Full Text: DOI
McBride, Adam C.; Rubin, Boris Continuity and invertibility of distributional multidimensional fractional integrals. (English) Zbl 0898.46036 Integral Transforms Spec. Funct. 5, No. 1-2, 103-116 (1997). Reviewer: D.Zarnadze (Tbilisi) MSC: 46F05 26A33 PDFBibTeX XMLCite \textit{A. C. McBride} and \textit{B. Rubin}, Integral Transforms Spec. Funct. 5, No. 1--2, 103--116 (1997; Zbl 0898.46036) Full Text: DOI
Rubin, Boris Hypersingular integrals of Marchaud type and the inversion problem for potentials. (English) Zbl 0832.31004 Math. Nachr. 165, 245-321 (1994). Reviewer: R.Gorenflo (Berlin) MSC: 31B10 45E10 26A33 31B20 45L05 65R30 PDFBibTeX XMLCite \textit{B. Rubin}, Math. Nachr. 165, 245--321 (1994; Zbl 0832.31004) Full Text: DOI
Abramyan, Anna V.; Nogin, Vladimir A. Integral transforms, connected with fractional powers of nonhomogeneous differential operators in \(L_ p\)-spaces. (English) Zbl 0853.44003 Integral Transforms Spec. Funct. 2, No. 1, 1-14 (1994). MSC: 44A15 26A33 35A22 31B10 47B38 47G10 PDFBibTeX XMLCite \textit{A. V. Abramyan} and \textit{V. A. Nogin}, Integral Transforms Spec. Funct. 2, No. 1, 1--14 (1994; Zbl 0853.44003) Full Text: DOI
Rubin, Boris Fractional integrals and weakly singular integral equations of the first kind in the \(n\)-dimensional ball. (English) Zbl 0828.45003 J. Anal. Math. 63, 55-102 (1994). Reviewer: A.A.Kilbas (Minsk) MSC: 45E10 42B20 47G10 26A33 PDFBibTeX XMLCite \textit{B. Rubin}, J. Anal. Math. 63, 55--102 (1994; Zbl 0828.45003) Full Text: DOI
Rubin, Boris The inversion of fractional integrals on a sphere. (English) Zbl 0778.46025 Isr. J. Math. 79, No. 1, 47-81 (1992). Reviewer: S.G.Samko (Rostov-na-Donu) MSC: 46E35 47A53 26A33 PDFBibTeX XMLCite \textit{B. Rubin}, Isr. J. Math. 79, No. 1, 47--81 (1992; Zbl 0778.46025) Full Text: DOI