Results 11 to 20 of about 651,796 (284)
Time-Frequency Analysis of Fourier Integral Operators [PDF]
Comm. Pure Appl. Anal., 9(1):1--21, 2010, 2007 We use time-frequency methods for the study of Fourier Integral operators (FIOs). In this paper we shall show that Gabor frames provide very efficient representations for a large class of FIOs. Indeed, similarly to the case of shearlets and curvelets frames, the matrix representation of a Fourier Integral Operator with respect to a Gabor frame is well ...
Cordero, Elena +2 more
arxiv +3 more sources
, 2006 An approximation Ansatz for the operator solution, $U(z',z)$, of a hyperbolic first-order pseudodifferential equation, $\d_z + a(z,x,D_x)$ with $\Re (a) \geq 0$, is constructed as the composition of global Fourier integral operators with complex phases ...
Jérôme Rousseau
openalex +7 more sources
Unsteady bending function for an unlimited anisotropic plate [PDF]
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2021 This work is devoted to the study of non-stationary vibrations of a thin anisotropic unbounded Kirchhoff plate under the influence of random non-stationary loads.
Alexander O. Serdiuk +2 more
doaj +1 more source
Fourier Analysis with Generalized Integration
Mathematics, 2020 We generalize the classic Fourier transform operator F p by using the Henstock–Kurzweil integral theory. It is shown that the operator equals the H K -Fourier transform on a dense subspace of L p , 1
Juan H. Arredondo +2 more
doaj +1 more source
AN OPERATOR METHOD FOR THE PROBLEM OF PLANE WAVE DIFFRACTION BY INFINITELY THIN, PERFECTLY CONDUCTING HALF-PLANE AND TWO DISKS [PDF]
Radio Physics and Radio Astronomy, 2022 Subject and Purpose. Considered in the paper is diffraction of a plane wave by a structure involving a half-plane and two disks. The disks and the half-plane, lying within parallel planes, are assumed to be infinitely thin and perfectly conducting.
M. E. Kaliberda +2 more
doaj +1 more source
On one rational integral operator of Fourier – Chebyshev type and approximation of Markov functions
Журнал Белорусского государственного университета: Математика, информатика, 2020 The purpose of this paper is to construct an integral rational Fourier operator based on the system of Chebyshev – Markov rational functions and to study its approximation properties on classes of Markov functions. In the introduction the main results of
Pavel G. Patseika +2 more
doaj +1 more source
The Clifford-Fourier integral kernel in even dimensional Euclidean space [PDF]
, 2010 Recently, we devised a promising new multi-dimensional integral transform within the Clifford analysis setting, the so-called Fourier–Bessel transform.
Brackx, Fred +2 more
core +1 more source
On Integral Operators with Operator Valued Kernels [PDF]
, 2009 Here Lq-Lp boundedness of integral operator with operator-valued kernels is studied and the main result is applied to convolution operators. Using these results Besov space regularity for Fourier multiplier operator is established.Comment: 9 ...
Shahmurov, Rishad
core +3 more sources
A fractional Fourier integral operator and its extension to classes of function spaces
Advances in Difference Equations, 2018 In this paper, an attempt is being made to investigate a class of fractional Fourier integral operators on classes of function spaces known as ultraBoehmians.
Shrideh K. Al-Omari
doaj +1 more source
Quasi-Banach algebras and Wiener properties for pseudodifferential and generalized metaplectic operators [PDF]
J. Pseudo-Differ. Oper. Appl. 14, 9 (2023), 2022 We generalize the results for Banach algebras of pseudodifferential operators obtained by Gr\"ochenig and Rzeszotnik in [24] to quasi-algebras of Fourier integral operators. Namely, we introduce quasi-Banach algebras of symbol classes for Fourier integral operators that we call generalized metaplectic operators, including pseudodifferential operators ...
arxiv +1 more source