Results 31 to 40 of about 460 (55)
The spectral theory of the Fourier operator truncated on the positive half-axis [PDF]
arXiv, 2012 The spectral analysis of the operator Fourier truncated on the positive half-axis is done.
arxiv
Fourier integrals and a new representation of Maslov's canonical operator near caustics [PDF]
, 2013 We suggest a new representation of Maslov's canonical operator in a neighborhood of the caustics using a special class of coordinate systems (\eikonal coordinates") on Lagrangian ...
Dobrokhotov, Sergey +2 more
core +1 more source
On the unbounded of a class of Fourier integral operator on $L^2(R^n)$ [PDF]
arXiv, 2013 In this paper, we give an example of Fourier integral operator with a symbol belongs to $\bigcap\limits_{0<\rho <1}S_{\rho,1}^{0}$ that cannot be extended as a bounded operator on $L^{2}(\mathbb{R}^{n}).$
arxiv
, 2017 In this paper we give an elementary proof for transference of local to global maximal estimates for dispersive PDEs. This is done by transferring local $L^2$ estimates for certain oscillatory integrals with rough phase functions, to the corresponding ...
Castro, Alejandro J. +2 more
core
On the Schr\"odinger equation with potential in modulation spaces [PDF]
, 2014 This work deals with Schr\"odinger equations with quadratic and sub-quadratic Hamiltonians perturbed by a potential. In particular we shall focus on bounded, but not necessarily smooth perturbations.
Cordero, Elena, Nicola, Fabio
core
Fourier integral operators with weighted symbols [PDF]
arXiv, 2014 The paper contains a survey of a class of Fourier integral operators defined by symbols with tempered weight. These operators are bounded (respectively compact) in $L^2$ if the weight of the amplitude is bounded (respectively tends to $0$).
arxiv
Asymptotic behavior of singular values of the acoustic observation problem [PDF]
arXiv, 2015 We consider the problem of recovering of initial data in the IBVP for the wave-type equation in the half-space by the solution restricted to the boundary. The singular value decomposition of this problem is concerned: the asymptotics of singular values is obtained.
arxiv
Compactness of Fourier Integral Operators on weighted modulation spaces [PDF]
arXiv, 2017 Using the matrix representation of Fourier integral operators with respect to a Gabor frame, we study their compactness on weighted modulation spaces. As a consequence, we recover and improve some compactness results for pseudodifferential operators.
arxiv
Closantel is an allosteric inhibitor of human Taspase1. [PDF]
iScience, 2021 Luciano V +5 more
europepmc +1 more source
Oscillatory integral operators with low-order degeneracies [PDF]
arXiv, 2000 Sharp L^2 estimates for oscillatory integral operators and Fourier integral operators associated with canonical relations having two-sided cusp or one-sided swallowtail singularities are obtained.
arxiv