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Spaces of sequences, sampling theorem, and functions of exponential type

Rodolfo Torres (1991)

Studia Mathematica

We introduce certain spaces of sequences which can be used to characterize spaces of functions of exponential type. We present a generalized version of the sampling theorem and a "nonorthogonal wavelet decomposition" for the elements of these spaces of sequences. In particular, we obtain a discrete version of the so-called φ-transform studied in [6] [8]. We also show how these new spaces and the corresponding decompositions can be used to study multiplier operators on Besov spaces.

Spectral multipliers for a distinguished Laplacian on certain groups of exponential growth

Michael Cowling, Saverio Giulini, Andrzej Hulanicki, Giancarlo Mauceri (1994)

Studia Mathematica

We prove that on Iwasawa AN groups coming from arbitrary semisimple Lie groups there is a Laplacian with a nonholomorphic functional calculus, not only for $L^{1} (A N),$ but also for $L^{p} (A N)$ , where 1 < p < ∞. This yields a spectral multiplier theorem analogous to the ones known for sublaplacians on stratified groups.

Spectral multipliers for a distinguished Laplacian on certain groups of exponential growth (A remark on the paper of M. Cowling et al.)

Adam Sikora (2002)

Studia Mathematica

We study spectral multipliers for a distinguished Laplacian on certain groups of exponential growth. We obtain a stronger optimal version of the results proved in [CGHM] and [A].

Spectral subspaces for the Fourier algebra

K. Parthasarathy, R. Prakash (2007)

Colloquium Mathematicae

In this note we define and explore, à la Godement, spectral subspaces of Banach space representations of the Fourier-Eymard algebra of a (nonabelian) locally compact group.

Spherical analysis on harmonic $A N$ groups

Jean-Philippe Anker, Ewa Damek, Chokri Yacoub (1996)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Structure de certaines $C^{*}$ -algèbres associées aux réseaux de ${PSL}_{2} (ℝ)$

François Pierrot (2002)

Annales de l’institut Fourier

En utilisant la structure infinitésimale des représentations unitaires irréductibles de ${PSL}_{2} (ℝ)$ , nous donnons une description complète de certaines $C^{*}$ - algèbres associées aux réseaux de ${PSL}_{2} (ℝ)$ , répondant ainsi à certaines questions de Bekka–de La Harpe–Valette.

Sub-Laplacians of holomorphic $L^{p}$ -type on exponential Lie groups

Detlef Müller (2002)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

In this survey article, I shall give an overview on some recent developments concerning the $L^{p}$ -functional calculus for sub-Laplacians on exponential solvable Lie groups. In particular, I shall give an outline on some recent joint work with W. Hebisch and J. Ludwig on sub-Laplacians which are of holomorphic $L^{p}$ -type, in the sense that every $L^{p}$ -spectral multiplier for $p \neq 2$ will be holomorphic in some domain.

Displaying 21 – 31 of 31

Spaces of sequences, sampling theorem, and functions of exponential type

Spectral multipliers for a distinguished Laplacian on certain groups of exponential growth

Spectral multipliers for a distinguished Laplacian on certain groups of exponential growth (A remark on the paper of M. Cowling et al.)

Spectral subspaces for the Fourier algebra

Spherical analysis on harmonic $A N$ groups

Structure de certaines $C^{*}$ -algèbres associées aux réseaux de ${PSL}_{2} (ℝ)$

Sub-Laplacians of holomorphic $L^{p}$ -type on exponential Lie groups

Sur les représentations différentiables des groupes de Lie algébriques

Sur les transformées de Fourier radiales

Sur l'espace de Banach des séries de Fourier aléatoires presque sûrement continues

Symbolic calculus on weighted group algebras

Currently displaying 21 – 31 of 31