نتایج جستجو برای: riesz basis

تعداد نتایج: 385242  

2009
PAUL BINDING

We employ an operator theoretic setting established in [2]. Under Condition 2.1 below, a self-adjoint (actually quasi-uniformly positive [7]) operator A in the Krein space L2,r(−1, 1)⊕C 2 ∆ is associated with the eigenvalue problem (1.1), (1.2). Here ∆ is a 2 × 2 nonsingular Hermitean matrix which is determined by M and N; see Section 2 for details. We remark that the topology of this Krein spa...

Journal: :Inf. Sci. 2009
Antonio Boccuto Domenico Candeloro

A convergence in Riesz spaces is given axiomatically. A Bochner-type integral for Riesz space-valued functions is introduced and some Vitali and Lebesgue dominated convergence theorems are proved. Some properties and examples are investigated. A.M.S. SUBJECT CLASSIFICATION (2000): 28B15.

Journal: :Monatshefte für Mathematik 2022

Abstract We solve the closed range problem for Volterra-type integral operator on Fock spaces. Several applications of result related to operators invertibility, Fredholm, and dynamical sampling structures from frame perspectives are provided. further prove a bounded preserves no property. On contrary, adjoint if only it is noncompact but fails preserve both tight frames Riesz basis.

Journal: :SIAM J. Math. Analysis 2006
Bin Han Zuowei Shen

This paper is to construct Riesz wavelets with short support. Riesz wavelets with short support are of interests in both theory and application. In theory, it is known that a B-spline of order m has the shortest support among all compactly supported refinable functions with the same regularity. However, it remained open whether a Riesz wavelet with the shortest support and m vanishing moments c...

Journal: :ESAIM: Control, Optimisation and Calculus of Variations 2021

In this paper, we study Riesz basis property and stability for a nonuniform thermoelastic system with Dirichlet-Dirichlet boundary condition, where the heat subsystem is considered as control to whole coupled system. By means of matrix operator pencil method, obtain asymptotic expressions eigenpairs, which are exactly coincident constant coefficients case. We then show that there exists sequenc...

1998
LECH DREWNOWSKI

The paper is concerned with order-topological characterizations of topological Riesz spaces, in particular spaces of measurable functions, not containing Riesz isomorphic or linearly homeomorphic copies of c0 or `∞.

2004
SUNDARAM THANGAVELU YUAN XU

Analogous of Riesz potentials and Riesz transforms are defined and studied for the Dunkl transform associated with a family of weighted functions that are invariant under a reflection group. The L boundedness of these operators is established in certain cases.

2017
Frédéric Bernicot Dorothee Frey

We study the boundedness of Riesz transforms in L for p > 2 on a doubling metric measure space endowed with a gradient operator and an injective, ω-accretive operator L satisfying Davies-Gaffney estimates. If L is non-negative self-adjoint, we show that under a reverse Hölder inequality, the Riesz transform is always bounded on L for p in some interval [2, 2 + ε), and that L gradient estimates ...

2013
Baptiste Devyver

Let (M, g) be a Riemannian manifold. The Riesz transform problem, namely giving conditions on p and on the manifold such that the operator d∆−1/2 – the so-called Riesz transform – is bounded on L, has recently undergone certain progresses. A pioneering result which goes back to 1985 is a theorem of D. Bakry [2] which asserts that if the Ricci curvature of M is non-negative, then the Riesz trans...

2007
Lubomir T. Dechevsky

The method ot atomic decomposition of Besov and Lizorkin-Triebel function spaces is combined with basic ideas from the theory of singular integral operators and applied to the study of fractional integral and diierential operators (FIDO), of which the Riesz potential is considered in detail as a model example. The main new results are: characterization of the Riesz potential by an innnite-dimen...

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