Results 21 to 30 of about 25,012 (220)

A fractional Fourier integral operator and its extension to classes of function spaces

open access: yesAdvances in Difference Equations, 2018
In this paper, an attempt is being made to investigate a class of fractional Fourier integral operators on classes of function spaces known as ultraBoehmians.
Shrideh K. Al-Omari
doaj   +1 more source

A note on the convolution and the product in D′ and S′

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1991
Examples of tempered distibutions are shown such that the convolution and product exist in D′ and are tempered distributions, but they do not exist in S′.
A. Kamiński, R. Rudnicki
doaj   +1 more source

Some Subclasses of Spirallike Multivalent Functions Associated with a Differential Operator

open access: yesMathematics, 2022
In this paper we study convolution properties of spirallike multivalent functions defined by using a differential operator and higher order derivatives. Using convolution product relations we determine necessary and sufficient conditions for multivalent ...
Ekram Elsayed Ali   +3 more
doaj   +1 more source

Generalized transforms and convolutions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1997
In this paper, using the concept of a generalized Feynman integral, we define a generalized Fourier-Feynman transform and a generalized convolution product.
Timothy Huffman   +2 more
doaj   +1 more source

Some Relationships for the Generalized Integral Transform on Function Space

open access: yesMathematics, 2020
In this paper, we recall a more generalized integral transform, a generalized convolution product and a generalized first variation on function space. The Gaussian process and the bounded linear operators on function space are used to define them.
Hyun Soo Chung
doaj   +1 more source

A New Support Vector Machine Based on Convolution Product

open access: yesComplexity, 2021
The support vector machine (SVM) and deep learning (e.g., convolutional neural networks (CNNs)) are the two most famous algorithms in small and big data, respectively. Nonetheless, smaller datasets may be very important, costly, and not easy to obtain in
Wei-Chang Yeh   +3 more
doaj   +1 more source

Gauge × gauge = gravity on homogeneous spaces using tensor convolutions

open access: yesJournal of High Energy Physics, 2021
A definition of a convolution of tensor fields on group manifolds is given, which is then generalised to generic homogeneous spaces. This is applied to the product of gauge fields in the context of ‘gravity = gauge × gauge’.
L. Borsten, I. Jubb, V. Makwana, S. Nagy
doaj   +1 more source

The Laguerre transform of a convolution product of vector-valued functions.

open access: yesМатематичні Студії, 2021
The Laguerre transform is applied to the convolution product of functions of a real argument (over the time axis) with values in Hilbert spaces.
A. O. Muzychuk
doaj   +1 more source

Abstract structure of partial function $*$-algebras over semi-direct product of locally compact groups [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2015
This article presents a unified approach to the abstract notions of partial convolution and involution in $L^p$-function spaces over semi-direct product of locally compact groups.
Arash Ghaani Farashahi, Ali Kamyabi-Gol
doaj  

A Rotation of Admixable Operators on Abstract Wiener Space with Applications

open access: yesJournal of Function Spaces and Applications, 2013
We investigate certain rotation properties of the abstract Wiener measure. To determine our rotation property for the Wiener measure, we introduce the concept of an admixable operator via an algebraic structure on abstract Wiener space.
Jae Gil Choi, Seung Jun Chang
doaj   +1 more source

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