Results 1 to 10 of about 144,037 (209)
Magnetic Fourier Integral Operators [PDF]
Journal of Pseudo-Differential Operators and Applications, 2010 In some previous papers we have defined and studied a 'magnetic' pseudodifferential calculus as a gauge covariant generalization of the Weyl calculus when a magnetic field is present. In this paper we extend the standard Fourier Integral Operators Theory
D. Robert +12 more
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Fourier integrals operators on lie groupoids [PDF]
Advances in Mathematics, 2016 As announced in [12], we develop a calculus of Fourier integral G-operators on any Lie groupoid G. For that purpose, we study convolability and invertibility of Lagrangian conic submanifolds of the symplectic groupoid T * G.
Lescure, Jean-Marie, Vassout, Stéphane
core +6 more sources
Fast Computation of Fourier Integral Operators [PDF]
SIAM Journal on Scientific Computing, 2006 We introduce a general purpose algorithm for rapidly computing certain types of oscillatory integrals which frequently arise in problems connected to wave propagation and general hyperbolic equations.
Candes, Emmanuel +2 more
core +10 more sources
Schatten class Fourier integral operators [PDF]
Applied and Computational Harmonic Analysis, 2011 Fourier integral operators with sufficiently smooth phase act on the time-frequency content of functions. However time-frequency analysis has only recently been used to analyze these operators.
Bishop, Shannon
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Time-Frequency Analysis of Fourier Integral Operators [PDF]
Communications on Pure & Applied Analysis, 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.
Cordero, Elena +2 more
core +5 more sources
Global Lp continuity of Fourier integral operators [PDF]
Transactions of the American Mathematical Society, 2009 In this paper we establish global Lp regularity properties of Fourier integral operators.
Coriasco, Sandro, Ruzhansky, Michael
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Exponentially sparse representations of Fourier integral operators
Revista Matemática Iberoamericana, 2015 We investigate the sparsity of the Gabor-matrix representation of Fourier integral operators with a phase having quadratic growth. It is known that such an infinite matrix is sparse and well organized, being in fact concentrated along the graph of the ...
Cordero, Elena +2 more
core +4 more sources
Exponential decay for products of Fourier integral operators [PDF]
Methods and Applications of Analysis, 2010 This text contains an alternative presentation, and in certain cases an improvement, of the "hyperbolic dispersive estimate" that was proved by Anantharaman and Nonnenmacher and used to make progress towards the quantum unique ergodicity conjecture.
Anantharaman, Nalini
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On a class of $h$-Fourier integral operators
Demonstratio Mathematica, 2013 In this paper, we study the $L^{2}$-boundedness and $L^{2}$-compactness of a class of $h$-Fourier integral operators. These operators are bounded (respectively compact) if the weight of the amplitude is bounded (respectively tends to $0)$
Abderrahmane, Senoussaoui +1 more
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Generalized oscillatory integrals and Fourier integral operators [PDF]
Proceedings of the Edinburgh Mathematical Society, 2009 AbstractIn this paper, a theory is developed of generalized oscillatory integrals (OIs) whose phase functions and amplitudes may be generalized functions of Colombeau type. Based on this, generalized Fourier integral operators (FIOs) acting on Colombeau algebras are defined. This is motivated by the need for a general framework for partial differential
Claudia Garetto +2 more
openaire +4 more sources