نتایج جستجو برای: generalized translation operator

تعداد نتایج: 383052  

Journal: :Sampling theory, signal processing, and data analysis 2023

Abstract This short note is concerned with various operator representations of frames in a Hilbert space $${{{\mathcal {H}}}}.$$ H . While it known that only very special can be represented the form $$\{ T^n \varphi \}_{n=0}^\infty $$ { <m...

‎In this paper‎, ‎using a generalized translation operator‎, ‎we obtain a generalization of Younis Theorem 5.2 in [3] for the Cherednik-Opdam transform for functions satisfying the $(delta,gamma,p)$-Cherednik-Opdam Lipschitz condition in the space‎ ‎$L^{p}_{alpha,beta}(mathbb{R})$.

Journal: :Information Sciences 2009

Journal: :Linear Algebra and its Applications 1979

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.

A. El Houasni A. Khadari M. El Hamma R. Daher

Using a generalized spherical mean operator, we obtain the generalizationof Titchmarsh's theorem for the Dunkl transform for functions satisfyingthe Lipschitz condition in L2(Rd;wk), where wk is a weight function invariantunder the action of an associated reection groups.

The rank-k numerical range has a close connection to the construction of quantum error correction code for a noisy quantum channel. For noisy quantum channel, a quantum error correcting code of dimension k exists if and only if the associated joint rank-k numerical range is non-empty. In this paper the notion of joint rank-k numerical range is generalized and some statements of [2011, Generaliz...

In this note, the notion of generalized continuous K- frame in a Hilbert space is defined. Examples have been given to exhibit the existence of generalized continuous $K$-frames. A necessary and sufficient condition for the existence of a generalized continuous $K$-frame in terms of its frame operator is obtained and a characterization of a generalized continuous $K$-frame for $ mathcal{H} $ wi...

Journal: :Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics 2020

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