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Image formation theory of optical coherence tomography with optical aberrations and its application to computational aberration correction. [PDF]

Biomed Opt Express
Makita S, Fukutake N, Zhu L, Yasuno Y.
europepmc   +1 more source

On an Inversion Formula for an Integral Transform of Convolution Type

On an Inversion Formula for an Integral Transform of Convolution Type
openaire  

Near-field-free super-potential FFT method for the three-dimensional free-space Poisson equation

Exl L, Schaffer S.
europepmc   +1 more source

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Composition method for constructing convolutions for integral transforms

Integral Transforms and Special Functions, 1996
The composition method for constructing convolutions for integral transforms are given. Several original convolutions are described for transforms of Fourier type.
V. Kakichev, N. X. Thao, N. Hai
semanticscholar   +2 more sources

The convolution of an extension of Al-Zughair integral transform

Journal of Interdisciplinary Mathematics, 2019
AbstractWe will introduce in this paper, a definition the convolution of an extension of Al-Zughair integral transform and properties and how to benefit from it to solve ordinary differential equat...
Ali Hassan Mohammed
exaly   +2 more sources

A Fourier generalized convolution transform and applications to integral equations

Fractional Calculus and Applied Analysis, 2012
An integral transform related to Fourier sine, Fourier cosine and generalized convolution is introduced and a Watson type theorem for the transform is proved. Later on, solutions of some integral equations in closed form are obtained as applications.
Nguyen Xuan Thao, Vu Kim Tuan, Nguyen Thanh Hong   +2 more
exaly   +2 more sources

Generalized Shift Operators Generated by Convolutions of Integral Transforms

, 2015
In this work we discuss a problem of the equivalence of two main approaches to introducing of generalized convolution operators. The first of them is based on the constructing of a generalized shift operator. The idea of the second approach is based on the works by Valentin Kakichev.
Lyubov Y. Britvina
semanticscholar   +2 more sources