New convolutions for quadratic-phase Fourier integral operators and their applications

DOI10.1007/s00009-017-1063-yzbMath1390.44013OpenAlexW2782129828MaRDI QIDQ1744149

L. T. Minh, Luis Filipe Pinheiro de Castro, Nguyen Minh Tuan

Publication date: 16 April 2018

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10773/21367

zbMATH Keywords

convolutionfractional Fourier transformYoung inequalityconvolution integral equationoscillatory integrallinear canonical transform

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Integral transforms of special functions (44A20) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Convolution, factorization for one variable harmonic analysis (42A85) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Other transforms and operators of Fourier type (43A32)

Related Items (16)

The explicit solutions for a class of fractional Fourier–Laplace convolution equations ⋮ Pseudo-differential operator associated with quadratic-phase Fourier transform ⋮ Composition of quadratic-phase Fourier wavelet transform ⋮ On the solution of a class of integral equations using new weighted convolutions ⋮ Convolution and product theorems for the quadratic-phase Fourier transform ⋮ Quadratic-phase Fourier transform of tempered distributions and pseudo-differential operators ⋮ New convolutions with Hermite weight functions ⋮ Filter design based on the fractional Fourier transform associated with new convolutions and correlations ⋮ Convolution for a pair of quadratic-phase Hankel transforms ⋮ Abelian theorems for quadratic-phase Fourier wavelet transform ⋮ Quadratic-phase orthonormal wavelets ⋮ Uncertainty principles and integral equations associated with a quadratic‐phase wavelet transform ⋮ Quadratic‐phase wavelet transform with applications to generalized differential equations ⋮ Modified ambiguity function and Wigner distribution associated with quadratic-phase Fourier transform ⋮ The 2-D hyper-complex Gabor quadratic-phase Fourier transform and uncertainty principles ⋮ New convolutions associated with the Mellin transform and their applications in integral equations

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