Farashahi, Arash Ghaani; Chirikjian, Gregory S. Fourier-Bessel series of compactly supported convolutions on disks. (English) Zbl 07528660 Anal. Appl., Singap. 20, No. 2, 171-192 (2022). Reviewer: Iris Athamaica López Palacios (Caracas) MSC: 43A50 43A30 43A85 43A10 43A15 43A20 42C05 42A85 34B24 PDFBibTeX XMLCite \textit{A. G. Farashahi} and \textit{G. S. Chirikjian}, Anal. Appl., Singap. 20, No. 2, 171--192 (2022; Zbl 07528660) Full Text: DOI
Erdoğan, Ezgi; Calabuig, José M.; Sánchez Pérez, Enrique A. Convolution-continuous bilinear operators acting on Hilbert spaces of integrable functions. (English) Zbl 06873694 Ann. Funct. Anal. 9, No. 2, 166-179 (2018). MSC: 47H60 43A25 46G25 PDFBibTeX XMLCite \textit{E. Erdoğan} et al., Ann. Funct. Anal. 9, No. 2, 166--179 (2018; Zbl 06873694) Full Text: DOI Euclid Link
Bufetov, Aleksandr I. Infinite determinantal measures and the ergodic decomposition of infinite Pickrell measures. III: The infinite Bessel process as the limit of the radial parts of finite-dimensional projections of infinite Pickrell measures. (English. Russian original) Zbl 1361.22006 Izv. Math. 80, No. 6, 1035-1056 (2016); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 80, No. 6, 43-64 (2016). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 22D40 28C10 28D15 43A05 60B15 60G55 PDFBibTeX XMLCite \textit{A. I. Bufetov}, Izv. Math. 80, No. 6, 1035--1056 (2016; Zbl 1361.22006); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 80, No. 6, 43--64 (2016) Full Text: DOI arXiv
Bufetov, Alexander I. Infinite determinantal measures and the ergodic decomposition of infinite Pickrell measures. II: Convergence of infinite determinantal measures. (English. Russian original) Zbl 1360.37020 Izv. Math. 80, No. 2, 299-315 (2016); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 80, No. 2, 16-32 (2016). MSC: 37A50 37A25 22D40 28D15 43A05 60B15 60G55 37A45 PDFBibTeX XMLCite \textit{A. I. Bufetov}, Izv. Math. 80, No. 2, 299--315 (2016; Zbl 1360.37020); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 80, No. 2, 16--32 (2016) Full Text: DOI arXiv
Caracciolo, Sergio; Sokal, Alan D.; Sportiello, Andrea Algebraic/combinatorial proofs of Cayley-type identities for derivatives of determinants and Pfaffians. (English) Zbl 1277.05012 Adv. Appl. Math. 50, No. 4, 474-594 (2013). MSC: 05A19 05E15 05E99 11S90 13A50 13N10 14F10 15A15 15A23 15A24 15B33 15A72 15A75 16S32 20G05 20G20 32C38 43A85 81T18 82B20 PDFBibTeX XMLCite \textit{S. Caracciolo} et al., Adv. Appl. Math. 50, No. 4, 474--594 (2013; Zbl 1277.05012) Full Text: DOI arXiv
Voit, Michael Central limit theorems for hyperbolic spaces and Jacobi processes on \([0,\infty [\). (English) Zbl 1276.60028 Monatsh. Math. 169, No. 3-4, 441-468 (2013). Reviewer: Norbert Youmbi (Loretto) MSC: 60F05 60B15 33C45 43A90 43A62 41A80 PDFBibTeX XMLCite \textit{M. Voit}, Monatsh. Math. 169, No. 3--4, 441--468 (2013; Zbl 1276.60028) Full Text: DOI arXiv
Trojan, Bartosz Heat kernel and Green function estimates on affine buildings. arXiv:1310.2288 Preprint, arXiv:1310.2288 [math.PR] (2013). MSC: 33C52 42C05 51E24 60B15 60J10 20E42 20F55 22E35 31C35 43A90 60G50 BibTeX Cite \textit{B. Trojan}, ``Heat kernel and Green function estimates on affine buildings'', Preprint, arXiv:1310.2288 [math.PR] (2013) Full Text: arXiv OA License
Voit, Michael Bessel convolutions on matrix cones: Algebraic properties and random walks. (English) Zbl 1177.43006 J. Theor. Probab. 22, No. 3, 741-771 (2009). Reviewer: Wilfried Hazod (Dortmund) MSC: 43A62 33C52 43A90 60B15 60F05 PDFBibTeX XMLCite \textit{M. Voit}, J. Theor. Probab. 22, No. 3, 741--771 (2009; Zbl 1177.43006) Full Text: DOI arXiv
Bakry, D.; Huet, N. The hypergroup property and representation of Markov kernels. (English) Zbl 1215.82003 Donati-Martin, Catherine (ed.) et al., Séminaire de probabilités XLI. Some papers are selected contributions of the seminars in Nancy 2005 and Luminy 2006. Berlin: Springer (ISBN 978-3-540-77912-4/pbk). Lecture Notes in Mathematics 1934, 297-347 (2008). MSC: 82B05 43A62 34L10 60B15 33C45 46E30 PDFBibTeX XMLCite \textit{D. Bakry} and \textit{N. Huet}, Lect. Notes Math. 1934, 297--347 (2008; Zbl 1215.82003) Full Text: arXiv
van der Mee, Cornelis V. M.; Rodman, Leiba; Spitkovsky, Ilya M.; Woerdeman, Hugo J. Factorization of block triangular matrix functions in Wiener algebras on ordered Abelian groups. (English) Zbl 1081.47020 Ball, Joseph A. (ed.) et al., Current trends in operator theory and its applications. Proceedings of the international workshop on operator theory and its applications (IWOTA), Virginia Tech, Blacksburg, VA, USA, August 6–9, 2002. Basel: Birkhäuser (ISBN 3-7643-7067-X/hbk). Operator Theory: Advances and Applications 149, 441-465 (2004). Reviewer: Yang Dachun (Beijing) MSC: 47A68 43A17 42C05 PDFBibTeX XMLCite \textit{C. V. M. van der Mee} et al., Oper. Theory: Adv. Appl. 149, 441--465 (2004; Zbl 1081.47020)
Lindlbauer, Marc; Voit, Michael Limit theorems for isotropic random walks on triangle buildings. (English) Zbl 1028.60005 J. Aust. Math. Soc. 73, No. 3, 301-333 (2002). Reviewer: Anatoly N.Kochubei (Kyïv) MSC: 60B15 60F05 33D52 20E42 43A62 60F15 PDFBibTeX XMLCite \textit{M. Lindlbauer} and \textit{M. Voit}, J. Aust. Math. Soc. 73, No. 3, 301--333 (2002; Zbl 1028.60005) Full Text: DOI
Borodin, A. M. Harmonic analysis on the infinite symmetric group, and the Whittaker kernel. (English. Russian original) Zbl 0988.43010 St. Petersbg. Math. J. 12, No. 5, 733-759 (2001); translation from Algebra Anal. 12, No. 5, 28-63 (2001). Reviewer: Anatoly N.Kochubei (Kyïv) MSC: 43A65 20C32 60B15 60Fxx 42C05 05E10 PDFBibTeX XMLCite \textit{A. M. Borodin}, St. Petersbg. Math. J. 12, No. 5, 733--759 (2001; Zbl 0988.43010); translation from Algebra Anal. 12, No. 5, 28--63 (2001)
Su, Francis Edward Discrepancy convergence for the Drunkard’s walk on the sphere. (English) Zbl 0978.60011 Electron. J. Probab. 6, Paper No. 2, 20 p. (2001). Reviewer: Michael Voit (Tübingen) MSC: 60B15 43A85 33C45 PDFBibTeX XMLCite \textit{F. E. Su}, Electron. J. Probab. 6, Paper No. 2, 20 p. (2001; Zbl 0978.60011) Full Text: DOI arXiv EuDML EMIS
Chang, Der-Chen; Hwang, Chii-Ruey Laguerre calculus and its applications to probability measures on \(H^n\). (English) Zbl 0992.43005 Kono, N. (ed.) et al., Trends in probability and related analysis. Proceedings of the symposium on analysis and probability (SAP’98), Taipei, Taiwan, November 23-27, 1998. Singapore: World Scientific Publishing. 83-102 (1999). Reviewer: Wilfried Hazod (Dortmund) MSC: 43A80 43A90 60B15 60B10 PDFBibTeX XMLCite \textit{D.-C. Chang} and \textit{C.-R. Hwang}, in: Trends in probability and related analysis. Proceedings of the symposium on analysis and probability (SAP'98), Taipei, Taiwan, November 23--27, 1998. Singapore: World Scientific Publishing. 83--102 (1999; Zbl 0992.43005)
Rösler, Margit; Voit, Michael Biorthogonal polynomials associated with reflection groups and a formula of Macdonald. (English) Zbl 0928.33012 J. Comput. Appl. Math. 99, No. 1-2, 337-351 (1998). Reviewer: A.Klimyk (Kyïv) MSC: 33C80 33C50 43A32 60B15 PDFBibTeX XMLCite \textit{M. Rösler} and \textit{M. Voit}, J. Comput. Appl. Math. 99, No. 1--2, 337--351 (1998; Zbl 0928.33012) Full Text: DOI arXiv
Lindlbauer, Marc Limit theorems for random walks on triangular buildings and polynomial hypergroups associated to them. (Grenzwertsätze für Irrfahrten auf Dreiecksgebäuden und den assoziierten polynomiellen Hypergruppen.) (German) Zbl 0910.43005 Tübingen: Univ. Tübingen, Mathematische Fakultät, 109 S. (1998). Reviewer: Michael Voit (Tübingen) MSC: 43A62 60B15 60F05 33C50 PDFBibTeX XMLCite \textit{M. Lindlbauer}, Grenzwertsätze für Irrfahrten auf Dreiecksgebäuden und den assoziierten polynomiellen Hypergruppen. Tübingen: Univ. Tübingen, Mathematische Fakultät (1998; Zbl 0910.43005)
Voit, Michael Asymptotic of heat kernels on projective spaces of large dimensions and on disk hypergroups. (English) Zbl 0922.60017 Math. Nachr. 194, 225-238 (1998). Reviewer: Anatoly N.Kochubei (Kiev) MSC: 60B15 60F05 58J65 33C45 42C10 43A62 PDFBibTeX XMLCite \textit{M. Voit}, Math. Nachr. 194, 225--238 (1998; Zbl 0922.60017) Full Text: DOI
Nessibi, M. M.; Sifi, M. Laguerre hypergroup and limit theorem. (English) Zbl 0905.60016 Komrakov, B. P. (ed.) et al., Lie groups and Lie algebras. Their representations, generalisations and applications. Dordrecht: Kluwer Academic Publishers. Math. Appl., Dordr. 433, 133-145 (1998). MSC: 60F05 60B15 60G50 43A62 33C45 PDFBibTeX XMLCite \textit{M. M. Nessibi} and \textit{M. Sifi}, Math. Appl., Dordr. 433, 133--145 (1998; Zbl 0905.60016)
Mili, Maher Asymptotic behaviour of the half disc polynomials and random walks on a discrete cone. (English) Zbl 0864.43004 C. R. Math. Acad. Sci., Soc. R. Can. 18, No. 2-3, 75-79 (1996). Reviewer: M.Voit (Charlottesville) MSC: 43A62 60B15 33C50 60F15 PDFBibTeX XMLCite \textit{M. Mili}, C. R. Math. Acad. Sci., Soc. R. Can. 18, No. 2--3, 75--79 (1996; Zbl 0864.43004)
Voit, Michael Asymptotic behavior of heat kernels on spheres of large dimensions. (English) Zbl 0877.60008 J. Multivariate Anal. 59, No. 2, 230-248 (1996). Reviewer: H.-P.Scheffler (Dortmund) MSC: 60B15 58J65 60F05 33C45 42C10 43A62 PDFBibTeX XMLCite \textit{M. Voit}, J. Multivariate Anal. 59, No. 2, 230--248 (1996; Zbl 0877.60008) Full Text: DOI
Voit, Michael Limit theorems for random walks on the double coset spaces \(U(n)//U(n-1)\) for \(n\to \infty\). (English) Zbl 0851.60007 J. Comput. Appl. Math. 65, No. 1-3, 449-459 (1995). MSC: 60B15 60F05 33C45 43A62 PDFBibTeX XMLCite \textit{M. Voit}, J. Comput. Appl. Math. 65, No. 1--3, 449--459 (1995; Zbl 0851.60007) Full Text: DOI
Sifi, Mohamed Central limit theorem and infinitely divisible probabilities associated with partial differential operators. (English) Zbl 0834.60012 J. Theor. Probab. 8, No. 3, 475-499 (1995). Reviewer: M.Voit (Tübingen) MSC: 60B15 43A62 60F05 33C45 PDFBibTeX XMLCite \textit{M. Sifi}, J. Theor. Probab. 8, No. 3, 475--499 (1995; Zbl 0834.60012) Full Text: DOI
Connett, William C.; Markett, Clemens; Schwartz, Alan L. Convolution and hypergroup structures associated with a class of Sturm- Liouville systems. (English) Zbl 0765.43006 Trans. Am. Math. Soc. 332, No. 1, 365-390 (1992). Reviewer: C.F.Dunkl (Charlottesville) MSC: 43A62 34L10 42C10 42A85 33C45 PDFBibTeX XMLCite \textit{W. C. Connett} et al., Trans. Am. Math. Soc. 332, No. 1, 365--390 (1992; Zbl 0765.43006) Full Text: DOI
Bouhaik, Mostafa; Gallardo, Léonard Un théorème limite central dans un hypergroupe bidimensionnel. (A central limit theorem on a two-dimensional hypergroup). (French) Zbl 0748.60025 Ann. Inst. Henri Poincaré, Probab. Stat. 28, No. 1, 47-61 (1992). Reviewer: M.Voit (München) MSC: 60F05 43A62 60B10 60B15 PDFBibTeX XMLCite \textit{M. Bouhaik} and \textit{L. Gallardo}, Ann. Inst. Henri Poincaré, Probab. Stat. 28, No. 1, 47--61 (1992; Zbl 0748.60025) Full Text: Numdam EuDML
Koornwinder, Tom H. Positive convolution structures associated with quantum groups. (English) Zbl 0823.60007 Heyer, Herbert (ed.), Probability measures on groups X. Proceedings of the tenth Oberwolfach conference, held November 4-10, 1990 in Oberwolfach, Germany. New York, NY: Plenum Publishing Corporation. 249-268 (1991). MSC: 60B15 43A62 22D25 17B37 33D55 PDFBibTeX XMLCite \textit{T. H. Koornwinder}, in: Probability measures on groups X. Proceedings of the tenth Oberwolfach conference, held November 4-10, 1990 in Oberwolfach, Germany. New York, NY: Plenum Publishing Corporation. 249--268 (1991; Zbl 0823.60007)
Zeuner, Hansmartin On hyperbolic hypergroups. (English) Zbl 0603.43001 Probability measures on groups VIII, Proc. 8th Conf., Oberwolfach/Ger. 1985, Lect. Notes Math. 1210, 216-224 (1986). MSC: 43A10 60B15 33C45 43A85 PDFBibTeX XML
Heyer, Herbert Probability theory on hypergroups: A survey. (English) Zbl 0543.60013 Probability measures on groups VII, Proc. Conf., Oberwolfach 1983, Lect. Notes Math. 1064, 481-550 (1984). Reviewer: W.Hazod MSC: 60B15 60G50 60B10 43A05 43A35 PDFBibTeX XML
Bingham, N. H. Positive definite functions on spheres. (English) Zbl 0244.43002 Proc. Camb. Philos. Soc. 73, 145-156 (1973). MSC: 43A35 42A82 60B15 33C45 33C55 PDFBibTeX XMLCite \textit{N. H. Bingham}, Proc. Camb. Philos. Soc. 73, 145--156 (1973; Zbl 0244.43002)