McDonald, E.; Sukochev, F.; Zanin, D. Spectral estimates and asymptotics for stratified Lie groups. (English) Zbl 07740615 J. Funct. Anal. 285, No. 10, Article ID 110105, 64 p. (2023). Reviewer: Jorge Vargas (Córdoba) MSC: 47B10 43A85 47A40 46E35 PDFBibTeX XMLCite \textit{E. McDonald} et al., J. Funct. Anal. 285, No. 10, Article ID 110105, 64 p. (2023; Zbl 07740615) Full Text: DOI arXiv
Li, Hong-Quan; Mao, Sheng-Chen; Zhang, Ye Heat kernel asymptotics on the free step-two Carnot group with \(3\) generators. arXiv:2312.15168 Preprint, arXiv:2312.15168 [math.AP] (2023). MSC: 58J37 35B40 35H10 35B45 35K08 43A80 58J35 43A85 BibTeX Cite \textit{H.-Q. Li} et al., ``Heat kernel asymptotics on the free step-two Carnot group with $3$ generators'', Preprint, arXiv:2312.15168 [math.AP] (2023) Full Text: arXiv OA License
Boggess, Albert; Raich, Andrew The fundamental solution to \(\Box_b\) on quadric manifolds. III: Asymptotics for a codimension 2 case in \({\mathbb{C}}^4\). (English) Zbl 1482.32031 J. Geom. Anal. 31, No. 11, 11529-11583 (2021). Reviewer: Yunus E. Zeytuncu (Ann Arbor) MSC: 32W10 35R03 32V20 42B37 43A80 PDFBibTeX XMLCite \textit{A. Boggess} and \textit{A. Raich}, J. Geom. Anal. 31, No. 11, 11529--11583 (2021; Zbl 1482.32031) Full Text: DOI
Losert, Viktor On the structure of groups with polynomial growth. IV. (English) Zbl 1494.22002 J. Algebra 581, 92-121 (2021). Reviewer: Maria Ferrara (Caserta) MSC: 22D05 22E25 22E30 20F19 20F24 20F69 20G20 43A20 PDFBibTeX XMLCite \textit{V. Losert}, J. Algebra 581, 92--121 (2021; Zbl 1494.22002) Full Text: DOI
Rossi, Maurizia The defect of random hyperspherical harmonics. (English) Zbl 1480.60139 J. Theor. Probab. 32, No. 4, 2135-2165 (2019). MSC: 60G60 42C10 60D05 60B10 43A75 PDFBibTeX XMLCite \textit{M. Rossi}, J. Theor. Probab. 32, No. 4, 2135--2165 (2019; Zbl 1480.60139) Full Text: DOI arXiv
Li, Hong-Quan; Zhang, Ye Revisiting the heat kernel on isotropic and nonisotropic Heisenberg groups. (English) Zbl 1471.58029 Commun. Partial Differ. Equations 44, No. 6, 467-503 (2019). Reviewer: Mohammed Benalili (Tlemcen) MSC: 58J35 58J37 35B40 35H10 35B45 35K08 43A80 43A85 PDFBibTeX XMLCite \textit{H.-Q. Li} and \textit{Y. Zhang}, Commun. Partial Differ. Equations 44, No. 6, 467--503 (2019; Zbl 1471.58029) Full Text: DOI arXiv
Arendt, W.; ter Elst, A. F. M. Ultracontractivity and eigenvalues: Weyl’s law for the Dirichlet-to-Neumann operator. (English) Zbl 06763768 Integral Equations Oper. Theory 88, No. 1, 65-89 (2017). MSC: 47-XX 43-XX 46-XX 35-XX PDFBibTeX XMLCite \textit{W. Arendt} and \textit{A. F. M. ter Elst}, Integral Equations Oper. Theory 88, No. 1, 65--89 (2017; Zbl 06763768) Full Text: DOI
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
Strichartz, Robert S. Spectral asymptotics on compact Heisenberg manifolds. (English) Zbl 1343.35180 J. Geom. Anal. 26, No. 3, 2450-2458 (2016). MSC: 35P20 43A85 58C40 58J50 PDFBibTeX XMLCite \textit{R. S. Strichartz}, J. Geom. Anal. 26, No. 3, 2450--2458 (2016; Zbl 1343.35180) Full Text: DOI
Hong, Seunghun A Lie-algebraic approach to the local index theorem on compact homogeneous spaces. (English) Zbl 1339.58010 Adv. Math. 296, 127-153 (2016). Reviewer: Yong Wang (Changchun) MSC: 58J20 35K08 43A85 17B70 58J35 PDFBibTeX XMLCite \textit{S. Hong}, Adv. Math. 296, 127--153 (2016; Zbl 1339.58010) Full Text: DOI arXiv
Rösler, Margit; Voit, Michael Limit theorems for radial random walks on \(p\times q\)-matrices as \(p\) tends to infinity. (English) Zbl 1211.60001 Math. Nachr. 284, No. 1, 87-104 (2011). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 60B10 60F05 60F15 43A05 43A62 33C10 33C67 44A10 PDFBibTeX XMLCite \textit{M. Rösler} and \textit{M. Voit}, Math. Nachr. 284, No. 1, 87--104 (2011; Zbl 1211.60001) Full Text: DOI arXiv
Rösler, Margit; Voit, Michael A limit relation for Dunkl-Bessel functions of type A and B. (English) Zbl 1163.33314 SIGMA, Symmetry Integrability Geom. Methods Appl. 4, Paper 083, 9 p. (2008). MSC: 33C67 43A85 20F55 PDFBibTeX XMLCite \textit{M. Rösler} and \textit{M. Voit}, SIGMA, Symmetry Integrability Geom. Methods Appl. 4, Paper 083, 9 p. (2008; Zbl 1163.33314) Full Text: DOI arXiv EuDML
Keicher, Vera; Nagel, Rainer Positive semigroups behave asymptotically as rotation groups. (English) Zbl 1165.47028 Positivity 12, No. 1, 93-103 (2008). Reviewer: E. M. Mangino (Lecce) MSC: 47D06 47B65 43A15 PDFBibTeX XMLCite \textit{V. Keicher} and \textit{R. Nagel}, Positivity 12, No. 1, 93--103 (2008; Zbl 1165.47028) Full Text: DOI
Faraut, Jacques Infinite dimensional spherical analysis. (English) Zbl 1154.43008 COE Lecture Note 10. Fukuoka: Kyushu University, The 21st Century COE Program “DMHF”. iii, 74 p. (2008). Reviewer: Ilka Agricola (Berlin) MSC: 43A90 22E46 05E15 33C50 PDFBibTeX XMLCite \textit{J. Faraut}, Infinite dimensional spherical analysis. Fukuoka: Kyushu University, The 21st Century COE Program ``DMHF'' (2008; Zbl 1154.43008)
Arnold, Vladimir Statistics of the symmetric group representations as a natural science question on asymptotics of Young diagrams. (English) Zbl 1171.20305 Kaimanovich, V. (ed.) et al., Representation theory, dynamical systems, and asymptotic combinatorics. Based on the conference, St. Petersburg, Russia, June 8–13, 2004 on the occasion of the 70th birthday of Anatoly Vershik. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-4208-0/hbk). Translations. Series 2. American Mathematical Society 217. Advances in the Mathematical Sciences 58, 1-7 (2006). MSC: 20C30 05E10 05E05 20C32 60B10 60B15 43A05 PDFBibTeX XMLCite \textit{V. Arnold}, Transl., Ser. 2, Am. Math. Soc. 217, 1--7 (2006; Zbl 1171.20305)
Chung, Derrick; Petridis, Yiannis N.; Toth, John A. The remainder in Weyl’s law for Heisenberg manifolds. II. (English) Zbl 1175.58008 Heath-Brown, D. R. (ed.) et al., Proceedings of the session in analytic number theory and Diophantine equations held in Bonn, Germany, January–June, 2002. Bonn: Univ. Bonn, Mathematisches Institut. Bonner Mathematische Schriften 360, 16 p. (2003). MSC: 58J37 58J50 43A80 PDFBibTeX XMLCite \textit{D. Chung} et al., Bonn. Math. Schr. 360, 16 p. (2003; Zbl 1175.58008)
Penney, Richard van den Ban-Schlichtkrull-Wallach asymptotic expansions on nonsymmetric domains. (English) Zbl 1185.32004 Ann. Math. (2) 158, No. 3, 711-768 (2003). Reviewer: Victor Gichev (Omsk) MSC: 32A45 43A85 46F05 58J37 PDFBibTeX XMLCite \textit{R. Penney}, Ann. Math. (2) 158, No. 3, 711--768 (2003; Zbl 1185.32004) Full Text: DOI
Dungey, Nick; ter Elst, A. F. M.; Robinson, Derek W. Analysis on Lie groups with polynomial growth. (English) Zbl 1041.43003 Progress in Mathematics (Boston, Mass.) 214. Boston, MA: Birkhäuser (ISBN 0-8176-3225-5/hbk). viii, 312 p. (2003). Reviewer: Vladimir F. Molchanov (Tambov) MSC: 43A80 22E30 35B40 35B27 58J37 PDFBibTeX XMLCite \textit{N. Dungey} et al., Analysis on Lie groups with polynomial growth. Boston, MA: Birkhäuser (2003; Zbl 1041.43003)
Mitchell, Jeffrey J. Asymptotic behavior in heat kernel analysis on manifolds. (English) Zbl 1031.58017 Kuo, Hui-Hsiung (ed.) et al., Finite and infinite dimensional analysis in honor of Leonard Gross. Proceedings of the AMS special session on analysis on infinite dimensional spaces, New Orleans, LA, USA, January 12-13, 2001. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 317, 179-192 (2003). Reviewer: Dian K.Palagachev (Bari) MSC: 58J35 58J37 22E30 43A85 58J65 81R30 PDFBibTeX XMLCite \textit{J. J. Mitchell}, Contemp. Math. 317, 179--192 (2003; Zbl 1031.58017)
Perry, Peter A. Carnot geometry and the resolvent of the sub-Laplacian for the Heisenberg group. (English) Zbl 1035.35027 Commun. Partial Differ. Equations 28, No. 3-4, 745-769 (2003). Reviewer: Peter B. Gilkey (Eugene) MSC: 35H20 35B40 43A80 PDFBibTeX XMLCite \textit{P. A. Perry}, Commun. Partial Differ. Equations 28, No. 3--4, 745--769 (2003; Zbl 1035.35027) Full Text: DOI
Rösler, Margit; de Jeu, Marcel Asymptotic analysis for the Dunkl kernel. (English) Zbl 1015.43004 J. Approximation Theory 119, No. 1, 110-126 (2002). Reviewer: A.A.Bogush (Minsk) MSC: 43A32 41A60 17B81 43A05 PDFBibTeX XMLCite \textit{M. Rösler} and \textit{M. de Jeu}, J. Approx. Theory 119, No. 1, 110--126 (2002; Zbl 1015.43004) Full Text: DOI arXiv
Sawyer, P. The asymptotic expansion of spherical functions on symmetric cones. (English) Zbl 1048.43012 Pac. J. Math. 200, No. 1, 251-256 (2001). MSC: 43A90 43A85 58J37 PDFBibTeX XMLCite \textit{P. Sawyer}, Pac. J. Math. 200, No. 1, 251--256 (2001; Zbl 1048.43012) Full Text: DOI
Bratteli, Ola; Jørgensen, Palle E. T.; Robinson, Derek W. Spectral asymptotics of periodic elliptic operators. (English) Zbl 0942.43004 Math. Z. 232, No. 4, 621-650 (1999). Reviewer: A.G.Baskakov (Voronezh) MSC: 43A65 22E45 22E25 35B45 42C05 PDFBibTeX XMLCite \textit{O. Bratteli} et al., Math. Z. 232, No. 4, 621--650 (1999; Zbl 0942.43004) Full Text: DOI arXiv
Porod, Ursula; Zelditch, Steve Semi-classical limit of random walks. II. (English) Zbl 0952.60019 Asymptotic Anal. 18, No. 3-4, 215-261 (1998). Reviewer: Michael Voit (Tübingen) MSC: 60B15 43A05 PDFBibTeX XMLCite \textit{U. Porod} and \textit{S. Zelditch}, Asymptotic Anal. 18, No. 3--4, 215--261 (1998; Zbl 0952.60019)
Qu, Changzheng Asymptotics for some heat kernel and Green kernel on the Heisenberg group. (Chinese. English summary) Zbl 0902.22007 J. Syst. Sci. Math. Sci. 18, No. 1, 1-10 (1998). MSC: 22E30 43A80 58J35 PDFBibTeX XMLCite \textit{C. Qu}, J. Syst. Sci. Math. Sci. 18, No. 1, 1--10 (1998; Zbl 0902.22007)
Vũ Quôc Phóng Almost periodic and strongly stable semigroups of operators. (English) Zbl 0907.47034 Janas, Jan (ed.) et al., Linear operators. Proceedings of the semester organized at the Stefan Banach International Mathematical Center, Warsaw, Poland, February 7–May 15, 1994. Warsaw: Polish Academy of Sciences, Inst. of Mathematics, Banach Cent. Publ. 38, 401-426 (1997). Reviewer: V.A.Liskevich (Bristol) MSC: 47D06 43A65 47D07 34C27 PDFBibTeX XMLCite \textit{Vũ Quôc Phóng}, Banach Cent. Publ. 38, 401--426 (1997; Zbl 0907.47034) Full Text: EuDML
Williams, Floyd L. Spectral zeta series of rank 1 space forms. (English) Zbl 0837.22009 Gross, Kenneth I. (ed.) et al., Representation theory and harmonic analysis. A conference in honor of Ray A. Kunze, January 12-14, 1994, Cincinnati, OH, USA. Providence, RI: American Mathematical Society. Contemp. Math. 191, 245-254 (1995). Reviewer: A.Deitmar (Heidelberg) MSC: 22E46 17B20 11F72 11M41 43A85 43A90 32N15 PDFBibTeX XMLCite \textit{F. L. Williams}, Contemp. Math. 191, 245--254 (1995; Zbl 0837.22009)
Terras, Audrey Asymptotics of special functions and the central limit theorem on the space \({\mathcal P}_ n\) of positive \(n\times n\) matrices. (English) Zbl 0627.43009 J. Multivariate Anal. 23, 13-36 (1987). Reviewer: L.Weiß MSC: 43A85 60F05 33C80 43A90 PDFBibTeX XMLCite \textit{A. Terras}, J. Multivariate Anal. 23, 13--36 (1987; Zbl 0627.43009) Full Text: DOI
Kosters, M. T.; van Dijk, G. Spherical distributions on the pseudo-Riemannian space SL(n, \({\mathbb{R}})/GL(n-1,\,{\mathbb{R}})\). (English) Zbl 0607.43008 J. Funct. Anal. 68, 168-213 (1986). Reviewer: V.F.Molchanov MSC: 43A85 22E46 43A90 PDFBibTeX XMLCite \textit{M. T. Kosters} and \textit{G. van Dijk}, J. Funct. Anal. 68, 168--213 (1986; Zbl 0607.43008) Full Text: DOI
Warner, Garth Noninvariant integrals on semisimple groups of \(\mathbb R\)-rank one. (English) Zbl 0578.22008 J. Funct. Anal. 64, 19-111 (1985). Reviewer: I. V. Chekalov (Minsk) MSC: 22E20 43A30 28C10 PDFBibTeX XMLCite \textit{G. Warner}, J. Funct. Anal. 64, 19--111 (1985; Zbl 0578.22008) Full Text: DOI
Varadarajan, V. S. Asymptotic properties of eigenvalues and eigenfunctions of invariant differential operators on symmetric and locally symmetric spaces. (English) Zbl 0554.43006 Lie group representations III, Proc. Spec. Year, College Park/Md. 1982-83, Lect. Notes Math. 1077, 396-436 (1984). Reviewer: J.Faraut MSC: 43A90 35P20 53C35 PDFBibTeX XML
Baskakov, A. G. Methods of abstract harmonic analysis in the perturbation of linear operators. (English. Russian original) Zbl 0574.47014 Sib. Math. J. 24, 17-32 (1983); translation from Sib. Mat. Zh. 24, No. 1(137), 21-39 (1983). MSC: 47A55 43A65 46J25 PDFBibTeX XMLCite \textit{A. G. Baskakov}, Sib. Math. J. 24, 17--32 (1983; Zbl 0574.47014); translation from Sib. Mat. Zh. 24, No. 1(137), 21--39 (1983) Full Text: DOI
Duistermaat, J. J.; Kolk, J. A. C.; Varadarajan, V. S. Functions, flows and oscillatory integrals on flag manifolds and conjugacy classes in real semisimple Lie groups. (English) Zbl 0524.43008 Compos. Math. 49, 309-398 (1983). MSC: 43A85 22E30 57R70 58E05 14M15 PDFBibTeX XMLCite \textit{J. J. Duistermaat} et al., Compos. Math. 49, 309--398 (1983; Zbl 0524.43008) Full Text: Numdam EuDML
Casselman, William; Milicic, Dragan Asymptotic behavior of matrix coefficients of admissible representations. (English) Zbl 0524.22014 Duke Math. J. 49, 869-930 (1982). MSC: 22E46 43A90 22E30 17B15 34M99 PDFBibTeX XMLCite \textit{W. Casselman} and \textit{D. Milicic}, Duke Math. J. 49, 869--930 (1982; Zbl 0524.22014) Full Text: DOI
Van den Ban, Erik Peter Asymptotic expansions and integral formulas for eigenfunctions on a semisimple Lie group. (Dissertation). (English) Zbl 0515.22011 Fakultät der Naturwissenschaften der Rijksuniversiteit Utrecht. 145 S. (1982). MSC: 22E46 43A90 PDFBibTeX XML
Duistermaat, J. J. Asymptotics of elementary spherical functions. (English) Zbl 0485.58006 Differential geometric methods in mathematical physics, Proc. int. Conf., Clausthal/FRG 1980, Lect. Notes Math. 905, 100-107 (1982). MSC: 58C25 58K99 22E45 22E30 58J40 43A90 43A80 PDFBibTeX XML
Levin, J. J.; Shea, D. F. On the asymptotic behavior of the bounded solutions of some integral equations. I, II, III. (English) Zbl 0241.45021 J. Math. Anal. Appl. 37, 42-82, 288-326, 537-575 (1972). MSC: 45M05 45J05 45G10 34Exx 43A70 47J05 PDFBibTeX XMLCite \textit{J. J. Levin} and \textit{D. F. Shea}, J. Math. Anal. Appl. 37, 42--82, 288--326, 537--575 (1972; Zbl 0241.45021) Full Text: DOI