Results 21 to 30 of about 460 (55)
Exponentially sparse representations of Fourier integral operators
, 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 +1 more source
Trace ideals for Fourier integral operators with non-smooth symbols II [PDF]
Osaka J. Math. 47 (2010), 739-786, 2007 We consider Fourier integral operators with symbols in modulation spaces and non-smooth phase functions whose second orders of derivatives belong to certain types of modulation space. We establish continuity and Schatten-von Neumann properties of such operators when acting on modulation spaces.
arxiv +1 more source
On Fourier integral operators with H\"older-continuous phase
, 2017 We study continuity properties in Lebesgue spaces for a class of Fourier integral operators arising in the study of the Boltzmann equation. The phase has a H\"older-type singularity at the origin.
Cordero, Elena +2 more
core +1 more source
A topological definition of the Maslov bundle [PDF]
, 2006 We give a definition of the Maslov fibre bundle for a lagrangian submanifold of the cotangent bundle of a smooth manofold. This definition generelizes the definition given, in homotopic terms, by Arnol'd for lagrangian submanifolds of the cotangent ...
Anné, Colette
core +2 more sources
A symbolic calculus for Fourier integral operators [PDF]
arXiv, 2013 The paper develops a symbolic calculus for Fourier integral operators associated with canonical transformations.
arxiv
Birkhoff Normal Forms in Semi-Classical Inverse Problems [PDF]
arXiv, 2002 We apply recent results on semi-classical trace formulae and on Birkhoff normal forms for semi-classical Fourier integral operators to a wide range of semi-classical and high energy spectral inverse problems.
arxiv
The Wiener Property for a Class of Fourier Integral Operators [PDF]
, 2012 We construct a one-parameter family of algebras consisting of Fourier integral operators. We derive boundedness results, composition rules, and the spectral invariance of this class of operators. The operator algebra is defined by the decay properties of
Cordero, Elena +3 more
core
Semi-Classical Wavefront Set and Fourier Integral Operators [PDF]
arXiv, 2004 We define and prove some properties of the semi-classical wavefront set. We also define and study semi-classical Fourier integral operators, of which we give a complete characterization. Lastly, we prove a generalization of the semi-classical Egorov's Theorem to manifolds of unequal dimensions.
arxiv
Damping estimates for oscillatory integral operators with finite type singularities [PDF]
Asymptot. Anal. 18 (1998), no. 3 & 4, 263--278, 2006 We derive damping estimates and asymptotics of $L^p$ operator norms for oscillatory integral operators with finite type singularities. The methods are based on incorporating finite type conditions into $L^2$ almost orthogonality technique of Cotlar-Stein.
arxiv
The Truncated Fourier Operator. V [PDF]
arXiv, 2009 The Fourier operator truncated on a finite symmetric interval is considered. The limiting behavior of its spectrum is discussed as the length of the interval tends to infinity.
arxiv