Bagchi, Sayan; Ganguly, Pritam; Sarkar, Jayanta; Thangavelu, Sundaram An analogue of Ingham’s theorem on the Heisenberg group. (English) Zbl 07735171 Math. Ann. 387, No. 1-2, 1073-1104 (2023). MSC: 43A80 22E25 33C45 26E10 46E35 PDFBibTeX XMLCite \textit{S. Bagchi} et al., Math. Ann. 387, No. 1--2, 1073--1104 (2023; Zbl 07735171) Full Text: DOI arXiv
Debnath, Santanu; Sen, Suparna Completeness of exponentials and Beurling’s theorem on \(\mathbb{R}^n\) and \(\mathbb{T}^n\). (English) Zbl 07717100 Banach J. Math. Anal. 17, No. 3, Paper No. 62, 20 p. (2023). MSC: 42B10 42A38 42A65 22E30 42A10 42B35 46E27 43A85 PDFBibTeX XMLCite \textit{S. Debnath} and \textit{S. Sen}, Banach J. Math. Anal. 17, No. 3, Paper No. 62, 20 p. (2023; Zbl 07717100) Full Text: DOI arXiv
Ghandehari, Mahya; Lee, Hun Hee; Ludwig, Jean; Spronk, Nico; Turowska, Lyudmila Beurling-Fourier algebras on Lie groups and their spectra. (English) Zbl 1485.43002 Adv. Math. 391, Article ID 107951, 127 p. (2021). MSC: 43A30 43A20 22E25 PDFBibTeX XMLCite \textit{M. Ghandehari} et al., Adv. Math. 391, Article ID 107951, 127 p. (2021; Zbl 1485.43002) Full Text: DOI arXiv
Barbieri, Davide; Hernández, Eugenio; Paternostro, Victoria Spaces invariant under unitary representations of discrete groups. (English) Zbl 1475.43008 J. Math. Anal. Appl. 492, No. 1, Article ID 124357, 32 p. (2020). Reviewer: Keith Taylor (Halifax) MSC: 43A65 22D10 42C15 43A15 PDFBibTeX XMLCite \textit{D. Barbieri} et al., J. Math. Anal. Appl. 492, No. 1, Article ID 124357, 32 p. (2020; Zbl 1475.43008) Full Text: DOI arXiv
Bhowmik, Mithun; Pusti, Sanjoy; Ray, Swagato K. Theorems of Ingham and Chernoff on Riemannian symmetric spaces of noncompact type. (English) Zbl 1444.43004 J. Funct. Anal. 279, No. 11, Article ID 108760, 30 p. (2020). MSC: 43A85 22E30 33C67 PDFBibTeX XMLCite \textit{M. Bhowmik} et al., J. Funct. Anal. 279, No. 11, Article ID 108760, 30 p. (2020; Zbl 1444.43004) Full Text: DOI
Bhowmik, Mithun A result of Paley and Wiener on Damek-Ricci spaces. (English) Zbl 1443.22010 J. Aust. Math. Soc. 109, No. 1, 1-16 (2020). MSC: 22E30 43A85 PDFBibTeX XMLCite \textit{M. Bhowmik}, J. Aust. Math. Soc. 109, No. 1, 1--16 (2020; Zbl 1443.22010) Full Text: DOI
Bowen, Lewis; Nevo, Amos Hyperbolic geometry and pointwise ergodic theorems. (English) Zbl 1437.37004 Ergodic Theory Dyn. Syst. 39, No. 10, 2689-2716 (2019). Reviewer: Thomas B. Ward (Leeds) MSC: 37A30 22D40 PDFBibTeX XMLCite \textit{L. Bowen} and \textit{A. Nevo}, Ergodic Theory Dyn. Syst. 39, No. 10, 2689--2716 (2019; Zbl 1437.37004) Full Text: DOI arXiv
Bhowmik, Mithun; Ray, Swagato K.; Sen, Suparna Around theorems of Ingham-type regarding decay of Fourier transform on \(\mathbb{R}^n, \mathbb{T}^n\) and two step nilpotent Lie groups. (English) Zbl 1433.22004 Bull. Sci. Math. 155, 33-73 (2019). Reviewer: Juan Núñez Valdés (Sevilla) MSC: 22E25 22E30 43A80 PDFBibTeX XMLCite \textit{M. Bhowmik} et al., Bull. Sci. Math. 155, 33--73 (2019; Zbl 1433.22004) Full Text: DOI arXiv
Bhowmik, Mithun; Sen, Suparna Uncertainty principles of Ingham and Paley-Wiener on semisimple Lie groups. (English) Zbl 1397.22007 Isr. J. Math. 225, No. 1, 193-221 (2018). Reviewer: Valeriu Popa (Chişinău) MSC: 22E30 22E46 43A80 PDFBibTeX XMLCite \textit{M. Bhowmik} and \textit{S. Sen}, Isr. J. Math. 225, No. 1, 193--221 (2018; Zbl 1397.22007) Full Text: DOI arXiv
Bhowmik, Mithun; Sen, Suparna An uncertainty principle of Paley and Wiener on Euclidean motion group. (English) Zbl 1381.22007 J. Fourier Anal. Appl. 23, No. 6, 1445-1464 (2017). Reviewer: Jorge Vargas (Córdoba) MSC: 22E30 43A80 PDFBibTeX XMLCite \textit{M. Bhowmik} and \textit{S. Sen}, J. Fourier Anal. Appl. 23, No. 6, 1445--1464 (2017; Zbl 1381.22007) Full Text: DOI arXiv
de Beer, Richard; Labuschagne, Louis Maximal ergodic inequalities for Banach function spaces. (English) Zbl 1406.37007 Indag. Math., New Ser. 27, No. 1, 29-74 (2016). MSC: 37A30 47A35 37A60 22F10 82B05 PDFBibTeX XMLCite \textit{R. de Beer} and \textit{L. Labuschagne}, Indag. Math., New Ser. 27, No. 1, 29--74 (2016; Zbl 1406.37007) Full Text: DOI arXiv
Bownik, Marcin; Ross, Kenneth A. The structure of translation-invariant spaces on locally compact abelian groups. (English) Zbl 1328.42006 J. Fourier Anal. Appl. 21, No. 4, 849-884 (2015). MSC: 42C15 43A32 43A70 22B99 46C05 PDFBibTeX XMLCite \textit{M. Bownik} and \textit{K. A. Ross}, J. Fourier Anal. Appl. 21, No. 4, 849--884 (2015; Zbl 1328.42006) Full Text: DOI
Tempelman, A. Pointwise ergodic theorems for bounded Lamperti representations of amenable groups. (English) Zbl 1322.22006 Proc. Am. Math. Soc. 143, No. 11, 4989-5004 (2015). Reviewer: Victor Sharapov (Dayton) MSC: 22D40 37A30 PDFBibTeX XMLCite \textit{A. Tempelman}, Proc. Am. Math. Soc. 143, No. 11, 4989--5004 (2015; Zbl 1322.22006) Full Text: DOI
Gorodnik, Alexander; Nevo, Amos Quantitative ergodic theorems and their number-theoretic applications. (English) Zbl 1351.37039 Bull. Am. Math. Soc., New Ser. 52, No. 1, 65-113 (2015). MSC: 37A45 37A15 37P55 22E46 11J83 11F70 22D40 37A30 PDFBibTeX XMLCite \textit{A. Gorodnik} and \textit{A. Nevo}, Bull. Am. Math. Soc., New Ser. 52, No. 1, 65--113 (2015; Zbl 1351.37039) Full Text: DOI arXiv
Kuznetsova, Yulia; Molitor-Braun, Carine Harmonic analysis of weighted \(L^p\)-algebras. (English) Zbl 1247.43004 Expo. Math. 30, No. 2, 124-153 (2012). Reviewer: Michael J. Puls (New York) MSC: 43A15 22D15 22D20 PDFBibTeX XMLCite \textit{Y. Kuznetsova} and \textit{C. Molitor-Braun}, Expo. Math. 30, No. 2, 124--153 (2012; Zbl 1247.43004) Full Text: DOI arXiv
Pusti, Sanjoy; Ray, Swagato K.; Sarkar, Rudra P. Wiener-Tauberian type theorems for radial sections of homogeneous vector bundles on certain rank one Riemannian symmetric spaces of noncompact type. (English) Zbl 1228.43009 Math. Z. 269, No. 1-2, 555-586 (2011). Reviewer: Roman Urban (Wrocław) MSC: 43A85 22E30 PDFBibTeX XMLCite \textit{S. Pusti} et al., Math. Z. 269, No. 1--2, 555--586 (2011; Zbl 1228.43009) Full Text: DOI
Wickramasekara, S. Relativistic dynamics of quasistable states. II: Differentiable representations of the causal Poincaré semigroup. (English) Zbl 1342.81172 J. Math. Phys. 50, No. 7, 072302, 18 p. (2009). MSC: 81R05 22E70 81U20 PDFBibTeX XMLCite \textit{S. Wickramasekara}, J. Math. Phys. 50, No. 7, 072302, 18 p. (2009; Zbl 1342.81172) Full Text: DOI
Ludwig, Jean; Molitor-Braun, Carine The Paley-Wiener theorem for certain nilpotent Lie groups. (English) Zbl 1189.22007 Math. Nachr. 282, No. 10, 1423-1442 (2009). Reviewer: Hidenori Fujiwara (Iizuka) MSC: 22E30 22E27 43A20 PDFBibTeX XMLCite \textit{J. Ludwig} and \textit{C. Molitor-Braun}, Math. Nachr. 282, No. 10, 1423--1442 (2009; Zbl 1189.22007) Full Text: DOI
Deninger, Christopher Fuglede-Kadison determinants and entropy for actions of discrete amenable groups. (English) Zbl 1104.22010 J. Am. Math. Soc. 19, No. 3, 737-758 (2006). Reviewer: Manuel Sanchis (Castelló) MSC: 22D25 37A35 37B40 43A07 46L55 PDFBibTeX XMLCite \textit{C. Deninger}, J. Am. Math. Soc. 19, No. 3, 737--758 (2006; Zbl 1104.22010) Full Text: DOI arXiv
Margulis, G. A.; Nevo, A.; Stein, Elias M. Analogs of Wiener’s ergodic theorems for semisimple Lie groups. II. (English) Zbl 0978.22006 Duke Math. J. 103, No. 2, 233-259 (2000). Reviewer: Alessandra Iozzi (Zürich) MSC: 22D40 22E30 28D10 43A10 43A90 PDFBibTeX XMLCite \textit{G. A. Margulis} et al., Duke Math. J. 103, No. 2, 233--259 (2000; Zbl 0978.22006) Full Text: DOI
Nevo, Amos; Stein, Elias M. A generalization of Birkhoff’s pointwise ergodic theorem. (English) Zbl 0837.22003 Acta Math. 173, No. 1, 135-154 (1994). Reviewer: J.Faraut (Paris) MSC: 22D40 28D15 43A90 PDFBibTeX XMLCite \textit{A. Nevo} and \textit{E. M. Stein}, Acta Math. 173, No. 1, 135--154 (1994; Zbl 0837.22003) Full Text: DOI
Malliavin, Marie-Paule; Malliavin, Paul Integration on loop groups. III: Asymptotic Peter-Weyl orthogonality. (English) Zbl 0762.22019 J. Funct. Anal. 108, No. 1, 13-46 (1992). Reviewer: H.Boseck (Greifswald) MSC: 22E67 28C20 43A85 58D20 60B11 PDFBibTeX XMLCite \textit{M.-P. Malliavin} and \textit{P. Malliavin}, J. Funct. Anal. 108, No. 1, 13--46 (1992; Zbl 0762.22019) Full Text: DOI
Lesigne, Emmanuel Théorèmes ergodiques pour une translation sur une nil variété. (Ergodic theorems on a translation on a nil manifold). (French) Zbl 0651.28014 Ergodic Theory Dyn. Syst. 9, No. 1, 115-126 (1989). Reviewer: E.Lesigne MSC: 28D10 22E25 28D05 PDFBibTeX XMLCite \textit{E. Lesigne}, Ergodic Theory Dyn. Syst. 9, No. 1, 115--126 (1989; Zbl 0651.28014) Full Text: DOI
Gorbis, A. Z.; Tempel’man, A. A. Averaging almost-periodic functions and finite-dimensional unitary representations on free groups. (English. Russian original) Zbl 0705.43001 Lith. Math. J. 28, No. 4, 332-335 (1988); translation from Lit. Mat. Sb. 28, No. 4, 662-668 (1988). Reviewer: S.Hartman MSC: 43A07 22D10 43A60 20E05 PDFBibTeX XMLCite \textit{A. Z. Gorbis} and \textit{A. A. Tempel'man}, Lith. Math. J. 28, No. 4, 332--335 (1988; Zbl 0705.43001); translation from Lit. Mat. Sb. 28, No. 4, 662--668 (1988) Full Text: DOI
Stewart, James; Watson, Saleem Which amalgams are convolution algebras? (English) Zbl 0579.43004 Proc. Am. Math. Soc. 93, 621-627 (1985). Reviewer: G.Wood MSC: 43A15 22B10 43A20 PDFBibTeX XMLCite \textit{J. Stewart} and \textit{S. Watson}, Proc. Am. Math. Soc. 93, 621--627 (1985; Zbl 0579.43004) Full Text: DOI
Baggett, Larry; Taylor, Keith A sufficient condition for the complete reducibility of the regular representation. (English) Zbl 0425.22007 J. Funct. Anal. 34, 250-265 (1979). MSC: 22D10 43A35 PDFBibTeX XMLCite \textit{L. Baggett} and \textit{K. Taylor}, J. Funct. Anal. 34, 250--265 (1979; Zbl 0425.22007) Full Text: DOI
Wallach, Nolan R. The analytic continuation of the discrete series. II. (English) Zbl 0419.22018 Trans. Am. Math. Soc. 251, 19-37 (1979). MSC: 22E46 22E60 17B10 17B20 PDFBibTeX XMLCite \textit{N. R. Wallach}, Trans. Am. Math. Soc. 251, 19--37 (1979; Zbl 0419.22018) Full Text: DOI
Diamond, Harold G.; Essen, Matts Functions with non-negative convolutions. (English) Zbl 0377.42007 J. Math. Anal. Appl. 63, 463-489 (1978). MSC: 42A85 26D15 22A10 PDFBibTeX XMLCite \textit{H. G. Diamond} and \textit{M. Essen}, J. Math. Anal. Appl. 63, 463--489 (1978; Zbl 0377.42007) Full Text: DOI
Conze, J. P.; Ngoc, N. Dang Noncommutative ergodic theorems. (English) Zbl 0392.46046 Bull. Am. Math. Soc. 83, 1297-1299 (1977). MSC: 46L55 46L51 46L53 46L54 28D15 22D40 PDFBibTeX XMLCite \textit{J. P. Conze} and \textit{N. D. Ngoc}, Bull. Am. Math. Soc. 83, 1297--1299 (1977; Zbl 0392.46046) Full Text: DOI
Helgason, Sigurdur A duality for symmetric spaces with applications to group representations. II: Differential equations and eigenspace representations. (English) Zbl 0351.53037 Adv. Math. 22, 187-219 (1976). MSC: 53C35 22E45 43A85 43A90 PDFBibTeX XMLCite \textit{S. Helgason}, Adv. Math. 22, 187--219 (1976; Zbl 0351.53037) Full Text: DOI
Moses, H. E.; Quesada, A. F. The expansion of physical quantities in terms of the irreducible representations of the scale-Euclidean group and applications to the construction of scale-invariant correlation functions. I: Concepts. One- dimensional problems. (English) Zbl 0237.22018 Arch. Ration. Mech. Anal. 44, 217-248 (1972). MSC: 22E70 PDFBibTeX XMLCite \textit{H. E. Moses} and \textit{A. F. Quesada}, Arch. Ration. Mech. Anal. 44, 217--248 (1972; Zbl 0237.22018) Full Text: DOI
Abdik, A. Derivation sur un groupe localement compact et abelien. (French) Zbl 0249.43021 Ann. Sc. Norm. Super. Pisa, Sci. Fis. Mat., III. Ser. 25, 269-290 (1971). MSC: 43A10 43A70 43A25 43A20 22B05 PDFBibTeX XMLCite \textit{A. Abdik}, Ann. Sc. Norm. Super. Pisa, Sci. Fis. Mat., III. Ser. 25, 269--290 (1971; Zbl 0249.43021) Full Text: Numdam EuDML
Goodman, Roe Complex Fourier analysis on a nilpotent Lie group. (English) Zbl 0225.22018 Trans. Am. Math. Soc. 160, 373-391 (1971). MSC: 22E30 22E25 43A80 PDFBibTeX XMLCite \textit{R. Goodman}, Trans. Am. Math. Soc. 160, 373--391 (1971; Zbl 0225.22018) Full Text: DOI
Kumahara, Keisaku An analogue of the Paley-Wiener theorem for the Heisenberg group. (English) Zbl 0225.22013 Proc. Japan Acad. 47, 491-494 (1971). MSC: 22E30 22E25 22E27 43A80 PDFBibTeX XMLCite \textit{K. Kumahara}, Proc. Japan Acad. 47, 491--494 (1971; Zbl 0225.22013) Full Text: DOI
Kumahara, Keisaku; Okamoto, Kiyosato An analogue of the Paley-Wiener theorem for the euclidean motion group. (English) Zbl 0225.22012 Proc. Japan Acad. 47, 485-490 (1971). MSC: 22E30 22E45 PDFBibTeX XMLCite \textit{K. Kumahara} and \textit{K. Okamoto}, Proc. Japan Acad. 47, 485--490 (1971; Zbl 0225.22012) Full Text: DOI
Helson, Henry Isomorphisms of Abelian group algebras. (English) Zbl 0052.11802 Ark. Mat. 2, 475-487 (1953). Reviewer: G. Köthe MSC: 22Bxx PDFBibTeX XMLCite \textit{H. Helson}, Ark. Mat. 2, 475--487 (1953; Zbl 0052.11802) Full Text: DOI