Results 181 to 190 of about 4,240 (197)

Propagation Speeds of Relativistic Conformal Particles from a Generalized Relaxation Time Approximation. [PDF]

Entropy (Basel)
Kandus A, Calzetta E.
europepmc   +1 more source

ON FOURIER INTEGRAL OPERATORS [PDF]

Mathematics of the USSR-Sbornik, 1981
On the basis of the stationary phase method for oscillatory integrals with complex phase function, the authors prove the coincidence of Fourier integral operators and Maslov's canonical operator. Bibliography: 17 titles.
V G Danilov, Le Vu An
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Bilinear Fourier integral operators

Journal of Pseudo-Differential Operators and Applications, 2010
We study the boundedness of bilinear Fourier integral operators on products of Lebesgue spaces. These operators are obtained from the class of bilinear pseudodifferential operators of Coifman and Meyer via the introduction of an oscillatory factor containing a real-valued phase of five variables
L. Grafakos, M. M. Peloso
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Fourier integral operators and the canonical operator

Russian Mathematical Surveys, 1981
CONTENTS Introduction Chapter I. Real theory of Fourier integral operators ??1. Densities, pseudodifferential operators, and asymptotic expansions ??2. Homogeneous Lagrangian immersions ??3. The canonical operator ??4. Fourier integral operators ??5. Examples and applications Chapter II.
V G Oshmyan, Vladimir E. Nazaikinskii, V. E. Shatalov, B. Yu. Sternin   +3 more
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Fourier Integral Operators

1994
The theory of pseudo differential operators, discussed in § 1, is well suited for investigating various problems connected with elliptic differential equations. However, this theory fails to be adequate for studying equations of hyperbolic type, and one is then forced to examine a wider class of operators, the so-called Fourier integral operators ...
Yu. V. Egorov, Mikhail Shubin
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Regularity of Fourier Integral Operators [PDF]

, 1995
The purpose of this paper is to survey some developments in the study of Radon transforms. These operators and the related oscillatory integrals have long been of interest in harmonic analysis and mathematical physics. Lately, they have emerged as key analytic tools in a wide variety of problems, ranging from partial differential equations to ...
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Fourier integral operators with cusp singularities [PDF]

American Journal of Mathematics, 1998
We study the boundedness properties, on Lebesgue and Sobolev spaces, of Fourier integral operators associated with canonical relations such that at least one of the projections is a simple (Whitney) cusp. In the process, we obtain decay estimates for oscillatory integral operators whose symplectic relations have the same singular structure.
Allan Greenleaf, Andreas Seeger
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Fourier Integral Operators in SG Classes: Classical Operators

2001
We continue the investigation of the calculus of Fourier Integral Operators (FIOs) in the class of symbols with exit behaviour (SG symbols). Here we analyse what happens when one restricts the choice of amplitude and phase functions to the subclass of the classical SG symbols.
CORIASCO, Sandro, P. PANARESE
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Remarks on Fourier Integral Operators

2004
We prove some estimates on several types of Fourier integral operators, emphasizing ɧ1→ ɧ1 estimates and ɧ→ bmo estimates. The results are mostly special cases of more general known results, but the proofs of the special cases presented here are simpler than the usual proofs. Furthermore, the special cases treated here arise quite commonly.
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Fourier Integral Operators and Gelfand-Shilov Spaces

2005
In this work, we study a class of Fourier integral operators of infinite order acting on the Gelfand-Shilov spaces of type S. We also define wave front sets in terms of Gelfand-Shilov classes and study the action of the previous Fourier integral operators on them.
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