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Spectral Invariance of Besov-Bessel Subalgebras
Banach algebra matrix algebra Besov spaces Bessel potential spaces
2011/2/21
Using principles of the theory of smoothness spaces we give systematic constructions of scales of inverse-closed subalgebras of a given Banach algebra with the action of a d-parameter automorphism gro...
Strong annihilating pairs for the Fourier-Bessel transform
Fourier-Bessel transform Hankel transform uncertainty principle
2010/12/1
The aim of this paper is to prove two new uncertainty principles for the Fourier-Bessel transform (or Hankel transform). The first of these results is an extension of a result of Amrein-Berthier-Bened...
Radon Transform on spheres and generalized Bessel function associated with dihedral groups
Radon Transform spheres generalized Bessel function associated dihedral groups
2010/12/14
Abstract. Motivated by Dunkl operators theory, we consider a generating series involving a modified Bessel function and a Gegenbauer polynomial, that generalizes a known series already conside...