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Operator-Valued Twisted Araki-Woods Algebras. [PDF]

Commun Math Phys
Kumar RR, Wirth M.
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ON FOURIER INTEGRAL OPERATORS

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.
Danilov, V. G., Le Vu An'
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The Endpoint Estimate for Fourier Integral Operators

Acta Mathematica Scientia, 2021
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Wang, Guangqing, Yang, Jie, Chen, Wenyi
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Bilinear Fourier integral operators

Journal of Pseudo-Differential Operators and Applications, 2010
The authors 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 oscillating factor containing a real-valued phase of five variables \(\Phi(x,y_1,y_2,\xi_1,\xi_2)\) which is jointly
L. Grafakos, M. M. Peloso
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Regularity Properties of Fourier Integral Operators

The Annals of Mathematics, 1991
The authors prove sharp \(L^ p\)-estimates for Fourier integral operators. Mainly the local theory is used. Also there are regularity results for solutions for the initial value problems for strictly hyperbolic partial differential equations \[ \begin{cases} Lu(x,t)=0, & t\neq 0,\\ \partial^ j_ tu|_{t=0}=f_ j(x), & 0\leq j\leq m-1,\end{cases} \] where \
Seeger, Andreas, Sogge, Christopher D., Stein, Elias M.   +2 more
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On Lp-boundedness of Fourier Integral Operators

Potential Analysis, 2021
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Jie Yang, Guangqing Wang, Wenyi Chen
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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, M. A. Shubin
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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.
Nazaĭkinskiĭ, V. E., Oshmyan, V. G., Sternin, B. Yu., Shatalov, V. E.   +3 more
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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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Representation of Fourier Integral Operators Using Shearlets

Journal of Fourier Analysis and Applications, 2008
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Guo, Kanghui, Labate, Demetrio
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