Invariant operators on function spaces on homogeneous trees

Michael Cowling; Stefano Meda; Alberto Setti

Displaying similar documents to “Invariant operators on function spaces on homogeneous trees”

Spherical means on the Heisenberg group and a restriction theorem for the symplectic Fourier transform.

Sundaram Thangavelu (1991)

Revista Matemática Iberoamericana

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The aim of this paper is to study mean value operators on the reduced Heisenberg group H/Γ, where H is the Heisenberg group and Γ is the subgroup {(0,2πk): k ∈ Z} of H.

Bochner and Schoenberg theorems on symmetric spaces in the complex case

Piotr Graczyk, Jean-Jacques Lœb (1994)

Bulletin de la Société Mathématique de France

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On the Laguerre calculus of left-invariant convolution (pseudo-differential) operators on the Heisenberg group

Peter C. Greiner (1980-1981)

Séminaire Équations aux dérivées partielles (Polytechnique)

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Spherical harmonics and spherical averages of Fourier transforms

Per Sjölin (2002)

Rendiconti del Seminario Matematico della Università di Padova

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A Paley-Wiener theorem on NA harmonic spaces

Francesca Astengo, Bianca di Blasio (1999)

Colloquium Mathematicae

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Let N be an H-type group and consider its one-dimensional solvable extension NA, equipped with a suitable left-invariant Riemannian metric. We prove a Paley-Wiener theorem for nonradial functions on NA supported in a set whose boundary is a horocycle of the form Na, a ∈ A.

Harmonic analysis of spherical functions on $S U (1, 1)$

Y. Benyamini, Yitzhak Weit (1992)

Annales de l'institut Fourier

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Denote by $L^{1} (K ∖ G / K)$ the algebra of spherical integrable functions on $S U (1, 1)$ , with convolution as multiplication. This is a commutative semi-simple algebra, and we use its Gelfand transform to study the ideals in $L^{1} (K ∖ G / K)$ . In particular, we are interested in conditions on an ideal that ensure that it is all of $L^{1} (K ∖ G / K)$ , or that it is $L_{0}^{1} (K ∖ G / K)$ . Spherical functions on $S U (1, 1)$ are naturally represented as radial functions on the unit disk $D$ in the complex plane. Using this representation, these results are applied to characterize...

Approximation on the sphere-a survey

S. M. Nikol&#039;skii, P. I. Lizorkin (1989)

Banach Center Publications

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Invariant analysis and contractions of symmetric spaces : part II

François Rouvière (1991)

Compositio Mathematica

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Approximate solutions of equations defined by complex spherical multiplier operators.

Oliveira, C.P. (2005)

Journal of Applied Mathematics

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