منابع مشابه
An Lp-Lq-version Of Morgan's Theorem For The Generalized Fourier Transform Associated with a Dunkl Type Operator
The aim of this paper is to prove new quantitative uncertainty principle for the generalized Fourier transform connected with a Dunkl type operator on the real line. More precisely we prove An Lp-Lq-version of Morgan's theorem.
متن کاملDunkl wavelets and applications to inversion of the Dunkl intertwining operator and its dual
These operators are very important inmathematics and physics. They allow the development of generalized wavelets from generalized continuous classical wavelet analysis. Moreover, we have proved in [2] that the generalized two-scale equation associated with the Dunkl operator has a solution and then we can define continuous multiresolution analysis. Dunkl has proved in [1] that there exists a un...
متن کاملDunkl Operator and Quantization of Z 2 - Singularity
Let (X, ω) be a symplectic orbifold which is locally like the quotient of a Z2 action on R . Let A ((~)) X be a deformation quantization of X constructed via the standard Fedosov method with characteristic class being ω. In this paper, we construct a universal deformation of the algebra A ((~)) X parametrized by codimension 2 components of the associated inertia orbifold X̃ . This partially conf...
متن کاملDunkl Translation and Uncentered Maximal Operator on the Real Line
On the real line, the Dunkl operators are differential-difference operators introduced in 1989 by Dunkl [1] and are denoted by Λα, where α is a real parameter > −1/2. These operators are associated with the reflection group Z2 on R. The Dunkl kernel Eα is used to define the Dunkl transform α which was introduced by Dunkl in [2]. Rösler in [3] shows that the Dunkl kernels verify a product formul...
متن کاملNecessary and Sufficient Conditions for the Boundedness of Dunkl-Type Fractional Maximal Operator in the Dunkl-Type Morrey Spaces
and Applied Analysis 3 For all x, y, z ∈ R, we put Wα ( x, y, z ) : ( 1 − σx,y,z σz,x,y σz,y,x ) Δα ( x, y, z ) , 2.5
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ژورنال
عنوان ژورنال: Ufa Mathematical Journal
سال: 2014
ISSN: 2074-1863,2074-1871
DOI: 10.13108/2014-6-1-56