Results 41 to 50 of about 277,415 (327)
On the Measurability of Stochastic Fourier Integral Operators [PDF]
, 2020 This work deals with the measurability of Fourier integral operators (FIOs) with random phase and amplitude functions. The key ingredient is the proof that FIOs depend continuously on their phase and amplitude functions, taken from suitable classes.
Martin Schwarz, Michael Oberguggenberger
openaire +2 more sources
Curvelets and Fourier Integral Operators [PDF]
Comptes Rendus. Mathématique, 2003 Abstract A recent body of work introduced new tight-frames of curvelets E. Candes, D. Donoho, in: (i) Curvelets – a suprisingly effective nonadaptive representation for objects with edges (A. Cohen, C. Rabut, L. Schumaker (Eds.)), Vanderbilt University Press, Nashville, 2000, pp. 105–120; (ii) http://www.acm.caltech.edu/~emmanuel/publications.html
Laurent Demanet, Emmanuel J. Candès
openaire +1 more source
Fourier integral operators on Lie groupoids
Advances in Mathematics, 2017 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. We also identify those Lagrangian which correspond to equivariant families parametrized by the unit space G (0) of homogeneous ...
Stéphane Vassout +2 more
openaire +3 more sources
On the global boundedness of Fourier integral operators [PDF]
Annals of Global Analysis and Geometry, 2010 30 ...
CORDERO, Elena +2 more
openaire +4 more sources
OPERATOR METHOD IN THE SCALAR WAVE DIFFRACTION BY AXIALLY-SYMMETRIC DISCONTINUITIES IN THE SCREEN
Radio Physics and Radio Astronomy, 2018 Purpose: The scalar wave diffraction by the annular slot in an infinitely thin screen is considered in case of Dirichlet and Neumann boundary conditions. Diffraction problem by a flat ring is also considered as a dual one.
M. E. Kaliberda +2 more
doaj +1 more source
Arbitrary Sampling Fourier Transform and Its Applications in Magnetic Field Forward Modeling
Applied Sciences, 2022 Numerical simulation and inversion imaging are essential in geophysics exploration. Fourier transform plays a vital role in geophysical numerical simulation and inversion imaging, especially in solving partial differential equations.
Shikun Dai +4 more
doaj +1 more source
Wiener algebras of Fourier integral operators
Journal de Mathématiques Pures et Appliquées, 2013 AbstractWe construct a one-parameter family of algebras FIO(Ξ,s), 0⩽s⩽∞, consisting of Fourier integral operators. We derive boundedness results, composition rules, and the spectral invariance of the operators in FIO(Ξ,s). The operator algebra is defined by the decay properties of an associated Gabor matrix around the graph of the canonical ...
CORDERO, Elena +3 more
openaire +3 more sources
The equiconvergence theorem for an integral operator with piecewise constant kernel
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2018 The paper is devoted to the equiconvergence of the trigonometric Fourier series and the expansions in the eigen and associated functions of the integral operator A, the kernel of which has jumps on the sides of the square inscribed in the unit square. An
Olga A Koroleva
doaj +1 more source
The Dunkl kernel and intertwining operator for dihedral groups
, 2020 Dunkl operators associated with finite reflection groups generate a commutative algebra of differential-difference operators. There exists a unique linear operator called intertwining operator which intertwines between this algebra and the algebra of ...
De Bie, Hendrik, Lian, Pan
core +1 more source
Estimation of the difference of partial sums of expansions by the root functions of the differential operator and into trigonometric Fourier series [PDF]
Известия Саратовского университета. Новая серия. Серия Математика. Механика. ИнформатикаWe consider a linear ordinary differential operator defined by an $n$-th order differential expression with a nonzero coefficient for $(n-1)$th derivative and Birkhoff regular two-point boundary conditions.
Rykhlov, Victor Sergeyevich
doaj +1 more source