نتایج جستجو برای: fourier integral operator

تعداد نتایج: 262314  

Journal: :Journal of Pseudo-differential Operators and Applications 2023

We study Toeplitz operators on the Bargmann space, with symbols that are exponentials of complex quadratic forms, from point view Fourier integral in domain. Sufficient conditions established for composition two such to be a operator.

Journal: :bulletin of the iranian mathematical society 2012
jin-lin liu

let a(p) denote the class of functions which are analytic in the open unit disk u. by making use of certain integral operator,we obtain some interesting properties of multivalent analytic functions.

Journal: :international journal of nonlinear analysis and applications 2012
r. daher m. el hamma

in hilbert space l2(rn), we prove the equivalence between the mod-ulus of smoothness and the k-functionals constructed by the sobolev space cor-responding to the fourier transform. for this purpose, using a spherical meanoperator.

2010
Jérôme Le Rousseau

We consider the first-order Cauchy problem ∂zu + a(z, x,Dx)u = 0, 0 < z ≤ Z, u |z=0 = u0, with Z > 0 and a(z, x,Dx) a k×k matrix of pseudodifferential operators of order one, whose principal part a1 is assumed symmetrizable: there exists L(z, x, ξ) of order 0, invertible, such that a1(z, x, ξ) = L(z, x, ξ) (−iβ1(z, x, ξ) + γ1(z, x, ξ)) (L(z, x, ξ))−1, where β1 and γ1 are hermitian symmetric and...

2012
Nathan Albin

S (in alphabetic order by speaker surname) Speaker: Nathan Albin (Kansas State University) Title: Fourier Continuation Methods for Long-Range Propagation and Transport Abstract: The Fourier Continuation (FC) method is a numerical technique for expressing nonperiodic functions as restrictions of rapidly converging Fourier series, thus avoiding the Gibbs phenomenon and enabling the use of Fourier...

2008
FABIO NICOLA

We carry on the study of Fourier integral operators of Hörmander’s type acting on the spaces FL(R)comp, 1 ≤ p ≤ ∞, of compactly supported distributions whose Fourier transform is in L. We show that the sharp loss of derivatives for such an operator to be bounded on these spaces is related to the rank r of the Hessian of the phase Φ(x, η) with respect to the space variables x. Indeed, we show th...

2008
RAQUEL M. LOPEZ SERGEI K. SUSLOV

We construct an explicit solution of the Cauchy initial value problem for the onedimensional Schrödinger equation with time-dependent Hamiltonian operator for the forced harmonic oscillator. The corresponding Green function (propagator) is derived with the help of the generalized Fourier transform and a relation with representations of the Heisenberg–Weyl group N (3) in a certain special case a...

2002
JIANHONG SHEN

Fractional Fourier transforms (FrFT) are a natural one-parameter family of unitary transforms that have the ordinary Fourier transform embedded as a special case. In this paper, following the efforts of several authors, we explore the theory and applications of FrFT, from the standpoints of both quantum mechanics and analysis. These include the phase plane interpretation of FrFT, FrFT’s role in...

Journal: :J. Comput. Physics 2011
Andras Pataki Leslie Greengard

In this paper, we describe a new class of fast solvers for separable elliptic partial differential equations in cylindrical coordinates (r, θ, z) with free-space radiation conditions. By combining integral equation methods in the radial variable r with Fourier methods in θ and z, we show that high-order accuracy can be achieved in both the governing potential and its derivatives. A weak singula...

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