نتایج جستجو برای: riesz basis

تعداد نتایج: 385242  

2010
Vladimir Varlamov Mark M. Meerschaert

Riesz potentials also called Riesz fractional derivatives and their Hilbert transforms are computed for the Korteweg-de Vries soliton. They are expressed in terms of the full-range Hurwitz Zeta functions ζ s, a and ζ− s, a . It is proved that these Riesz potentials and their Hilbert transforms are linearly independent solutions of a Sturm-Liouville problem. Various new properties are establishe...

2008
Anvarjon Akhmedov Anvarjon Ahmedov

Abstract In this paper we study the almost everywhere convergence of the expansions related to the self-adjoint extension of the Laplace operator. The sufficient conditions for summability is obtained. For the orders of Riesz means, which greater than critical index N−1 2 we established the estimation for maximal operator of the Riesz means. Note that when order α of Riesz means is less than cr...

A. Ahmadi A. Askari Hemmat

This paper is an investigation of $L$-dual frames with respect to a function-valued inner product, the so called $L$-bracket product on $L^{2}(G)$, where G is a locally compact abelian group with a uniform lattice $L$. We show that several well known theorems for dual frames and dual Riesz bases in a Hilbert space remain valid for $L$-dual frames and $L$-dual Riesz bases in $L^{2}(G)$.

The present study aims at indicating the existence and uniqueness result of system in extended colombeau algebra. The Caputo fractional derivative is used for solving the system of ODEs. In addition, Riesz fractional derivative of  Colombeau generalized algebra is considered. The purpose of introducing Riesz fractional derivative is regularizing it in Colombeau sense. We also give a solution to...

Journal: :Fractal and fractional 2021

The numerical solution of fractional-order elliptic problems is investigated in bounded domains. According to real-life situations, we assumed inhomogeneous boundary terms, while the underlying equations contain full-space fractional Laplacian operator. basis convergence analysis for a lower-order element approximation theory corresponding continuous problem. In particular, need continuity resu...

Journal: :Journal of Inequalities and Applications 2022

Abstract Recently, frame multipliers, pair frames, and controlled frames have been investigated to improve the numerical efficiency of iterative algorithms for inverting operator other applications frames. In this paper, concept biframe is introduced a Hilbert space. A sequences in space that applies an inequality similar inequality. Also, it can be regarded as generalization special kind The b...

Journal: :Research in Computing Science 2016
Eduardo Ulises Moya-Sánchez Marcela Bonell Gustavo Torres Eduardo Vázquez-Santacruz

The phase computation is used in many applications of signal and image processing such as edge, line, symmetry detection, image analysis and recently to show small motion or color changes. Eulerian video processing allows to show small color changes and motions invisibles to the naked eye. Eulerian motion magnification, was modify using the phase and the Riesz pyramid in order to reduce the noi...

Journal: :journal of linear and topological algebra (jlta) 0
g soleimani rad young researchers and elite club, central tehran branch, islamic azad university, tehran, iran i altun department of mathematics, faculty of science and arts, kirikkale university, 71450 yahsihan, kirikkale, turkey

in this paper we consider the so called a vector metric space, which is a generalization of metric space, where the metric is riesz space valued. we prove some common fixed point theorems for three mappings in this space. obtained results extend and generalize well-known comparable results in the literature.

2008
Anne Sedlazeck Lennart Wietzke

An important issue in image analysis is the detection of features in images. Problems occur, when the images contain noise or are rotated. An example for a rotation invariant feature is the apex angle. However, apex angle detection is only expedient, on a special class of images, therefore in this thesis only images with up to two overlaid intrinsically one dimensional structures are considered...

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