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Generalization of the Notion of Convolution
1994In Chapter 11 we considered H-convolutions of generalized H-transforms. These convolutions are bilinear, commutative and associative operations in the linear space and possess the following property $$ \left( {H\left( {f\mathop {*g}\limits^a } \right)} \right)\left( x \right) = x^a \left( {Hf} \right)\left( x \right)\left( {Hg} \right)\left( x ...
Semen B. Yakubovich, Yurii F. Luchko
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A Generalised Hankel Convolution
SIAM Journal on Mathematical Analysis, 1985A Hankel-convolution operation is defined in the classical sense of Hirschman and Cholewinski. In this paper, the author extends this definition to a class of generalized functions analogous to that introduced by Zemanian. Algebraic properties of the convolution are examined and existence and significance of an identity element are also discussed.
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Improved Generative Convolution Method for Image Generation
2022 13th International Conference on Information and Communication Technology Convergence (ICTC), 2022Seung Park +5 more
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The h-Fourier sine-Laplace discrete generalized convolution on time scale
Integral Transforms and Special Functions, 2023Tung Hoang +2 more
exaly
Polarities and generalized extremal convolutions
2016Summary: A reflection on the inceptive role of Moreau in various studies is presented. Gustave Choquet (1915-2006), Jean Jacques Moreau (1923-2014) and Ennio De Giorgi (1928-1996) inspired developments of variational analysis. I had the fortune to know them all and to follow their tracks.
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Young inequalities for a Fourier cosine and sine polyconvolution and a generalized convolution
Integral Transforms and Special Functions, 2023Trinh Tuan, Vu Kim Tuan
exaly
Moments and generalized convolutions. III
1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Generalized Convolution Transformation
SIAM Journal on Applied Mathematics, 1967openaire +1 more source
THE CONVOLUTION OF GENERALIZED FUNCTIONS
The Quarterly Journal of Mathematics, 1973openaire +1 more source