Results 241 to 250 of about 5,018 (278)

Impulses, Convolution, and Integral Transforms

Wideband Circuit Design, 2018
H. Carlin, P. Civalleri
semanticscholar   +2 more sources

Generalized integral transforms and convolution products on function space

Integral Transforms and Special Functions, 2011
In this paper, we use a Gaussian process to define a generalized integral transform (GIT) and a generalized convolution product (GCP) of functionals defined on a function space. We establish the existence and some properties for the GIT, the GCP and the inverse integral transform. Finally, we prove a Fubini theorem for the GIT and the GCP.
Hyun Soo Chung, Vu Kim Tuan
exaly   +2 more sources

Rigorous Interpretation of Engineering Formulae for the Convolution and the Fourier Transform Based on the Generalized Integral

IEEE Access, 2022
This paper aims at providing a framework suitable for justification of classical convolution integral and Fourier transform in many cases not covered by the usual definition of integral used for signal theory applications.
Zeljko Jurić, Harun Šiljak
exaly   +3 more sources

Integral Transforms Related to a Generalized Convolution

Results in Mathematics, 2000
A general convolution transform of the Fourier cosine-sine type is investigated. The authors find necessary and sufficient conditions on the kernel function, which makes the mentioned transform a unitary transform on \(L_2(\mathbb{R})\). A special class of the Fourier sine kernels is defined. Watson and Plancherel type theorems are proved.
Al-Musallam, F., Tuan, Vu Kim
openaire   +1 more source

A FUBINI THEOREM FOR INTEGRAL TRANSFORMS AND CONVOLUTION PRODUCTS

International Journal of Mathematics, 2013
In this paper we establish Fubini theorems for integral transforms and convolution products for functionals on function space.
Chung, Hyun Soo, Skoug, David, Chang, Seung Jun   +2 more
openaire   +2 more sources

Some inequalites for convolution integral transforms

Integral Transforms and Special Functions, 1994
In this paper we consider the inqualities for convolution integral transforms.We proceed to the study of the operators fractional integration and applications to the theory of integral equations.
Askhab Yakubov, Lamara Shankishvili
openaire   +1 more source

Factorization of integral transformations of convolution type

Journal of Soviet Mathematics, 1985
Translation from Itogi Nauki Tekh., Ser. Mat. Anal. 21, 3-41 (Russian) (1983; Zbl 0562.44005).
Brychkov, Yu. A., Glaeske, H.-J., Marichev, O. I.   +2 more
openaire   +2 more sources

A general class of integral transforms and an expression for their convolution formulas

Integral Transforms and Special Functions, 2021
A class of integral transforms which satisfies certain assumptions is considered. Several examples, including the Fourier, Laplace and Mellin transforms, are in this class as well as transforms whi...
Thomas Futcher, Marianito R. Rodrigo
openaire   +1 more source

The Hypergeometric Approach to Integral Transforms and Convolutions

1994
Preface. 1. Preliminaries. 2. Mellin Convolution Type Transforms with Arbitrary Kernels. 3. H- and G-Transforms. 4. The Generalized H- and G-Transforms. 5. The Generating Operators of Generalized H-Transforms. 6. The Kontorovich--Lebedev Transform. 7. General W-Transform and its Particular Cases. 8.
Semen B. Yakubovich, Yurii F. Luchko
openaire   +1 more source

THE DISCRETE FOURIER TRANSFORM AND CYCLIC CONVOLUTION ON INTEGRAL LATTICES

Mathematics of the USSR-Sbornik, 1989
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source