The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Displaying similar documents to “Harmonic analysis of spherical functions on S U ( 1 , 1 ) ”

Spectral synthesis and the Pompeiu problem

L. Brown, B. Schreiber, B. A. Taylor (1973)

Annales de l'institut Fourier

Similarity:

It is shown that every closed rotation and translation invariant subspace V of C ( R n ) or δ ( R n ) , n ≥ 2 , is of spectral synthesis, i.e. V is spanned by the polynomial-exponential functions it contains. It is a classical problem to find those measures μ of compact support on R 2 with the following property: (P) The only function f ∈ C ( R 2 ) satisfying ∫ R 2 f ∘ σ d μ = 0 for all rigid motions σ of R 2 is the zero function. As an application of the above result a characterization of such measures is obtained in terms of their Fourier-Laplace...

Some remarks on restriction of the Fourier tranform for general measures.

Per Sjölin, Fernando Soria (1999)

Publicacions Matemàtiques

Similarity:

In this paper we establish a formal connection between the average decay of the Fourier transform of functions with respect to a given measure and the of that measure. We also present a generalization of the classical restriction theorem of Stein and Tomas replacing the sphere with sets of prefixed Hausdorff dimension n - 1 + α, with 0 < α < 1.

Spaces of type H ∞ + C

Walter Rudin (1975)

Annales de l'institut Fourier

Similarity:

A simple theorem is proved which states a sufficient condition for the sum ot two closed subspaces of a Banach space to be closed. This leads to several analogues of Sarason’s theorem which states that H ∞ + C is a closed subalgebra of L ∞ . In these analogues, the unit circle is replaces by other groups, and the unit disc is replaced by polydiscs or by balls in spaces of several complex variables. Sums of closed ideals in Banach algebras are also studied.

On functions whose translates are independent

Ralph E. Edwards (1951)

Annales de l'institut Fourier

Similarity:

Ce travail est l’étude de divers cas particuliers d’un problème nouveau, semble-t-il, concernant les translatées de fonctions ou de distributions sur un groupe. Soit E un espace vectoriel topologique de fonctions ou de distributions sur un groupe abélien G localement compact ; E est supposé invariant par les translations a → f a ( x ) = f ( x + a ) ( f ∈ E , a ∈ G ) . Si f ∈ E et si A est un sous-ensemble non vide de G , I ( f , A ) = I ( f , A , E ) désigne le sous-espace vectoriel fermé de E engendré par les translatées f a de f avec a ∈ A . On dira qu’une f ∈ E a ses...