Results 11 to 20 of about 62,963 (321)

Linear peridynamics Fourier multipliers and eigenvalues [PDF]

open access: greenJournal of Peridynamics and Nonlocal Modeling, 2022
A characterization for the Fourier multipliers and eigenvalues of linear peridynamic operators is provided. The analysis is presented for state-based peridynamic operators for isotropic homogeneous media in any spatial dimension. We provide explicit formulas for the eigenvalues in terms of the space dimension, the nonlocal parameters, and the material ...
Bacim Alali, Nathan Albin
openalex   +3 more sources

Homogeneous Fourier multipliers in the plane [PDF]

open access: bronzeProceedings of the American Mathematical Society, 1991
Given a homogeneous of degree zero function on the plane, we study conditions on the first derivative of its restriction to the unit circle in order to deduce that it is an L p {L^p} -multiplier.
Javier Duoandikoetxea, Adela Moyua
openalex   +3 more sources

Generalized Fourier multipliers

open access: yesAnnals of Functional Analysis, 2023
In this paper, the authors introduce and study a class of linear operators defined on a separable Hilbert space \(\mathcal{H}\). Generalized Fourier multipliers are defined using abstract Fourier theory on separable Hilbert spaces. The main goal of this paper is to give and prove some results regarding the boundedness, compactness, and Schatten-von ...
Viorel Catană   +2 more
openaire   +1 more source

Construction of Fourier multipliers [PDF]

open access: diamondBulletin of the Australian Mathematical Society, 1977
The classical Wiener-Pitt phenomenon for measures may be formulated as an existence theorem for Fourier multipliers with irregular, spectral properties and the result has been refined in various ways over the years. The most recent development is due to Zafran, who exhibits abnormal spectral behaviour in multipliers whose transforms vanish at infinity ...
Gavin Brown
openalex   +2 more sources

Fourier Multipliers on Lipschitz Curves [PDF]

open access: yesTransactions of the American Mathematical Society, 1992
We develop the theory of Fourier multipliers acting on L p ( γ ) {L_p}(\gamma ) where γ \gamma is a Lipschitz curve of the form γ = { x + i g ( x ) } \gamma =
McIntosh, Alan, Qian, Tao
openaire   +2 more sources

Fourier Multipliers and Dirac Operators [PDF]

open access: yesAdvances in Applied Clifford Algebras, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nolder, Craig A., Wang, Guanghong
openaire   +1 more source

Stable sampling and Fourier multipliers [PDF]

open access: yesPublicacions Matemàtiques, 2014
We study the relationship between stable sampling sequences for bandlimited functions in $L^p(\R^n)$ and the Fourier multipliers in $L^p$. In the case that the sequence is a lattice and the spectrum is a fundamental domain for the lattice the connection is complete. In the case of irregular sequences there is still a partial relationship.
Matei, Basarab   +2 more
openaire   +7 more sources

Smoothness of functions versus smoothness of approximation processes

open access: yesBulletin of Mathematical Sciences, 2020
We provide a comprehensive study of interrelations between different measures of smoothness of functions on various domains and smoothness properties of approximation processes.
Yu. S. Kolomoitsev, S. Yu. Tikhonov
doaj   +1 more source

Home - About - Disclaimer - Privacy