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Wave packet transform and wavelet convolution product involving the index Whittaker transform
The main goal of this paper is to study the wave packet transform (WPT) and wavelet convolution product involving the index Whittaker transform...
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The Hartley–Bessel function: product formula and convolution structure
This paper explores a one-parameter extension of the Hartley kernel expressed as a real combination of two Bessel functions, termed the...
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Product-Convolution of Heavy-Tailed and Related Distributions
Products of random variables and related distribution problems appear in physics, engineering, number theory, and many probability and statistical...
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Convolution
Convolution and the resulting circulant matrices are fundamental tools used in signal processing and data analysis. It is a natural place for the use...
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The Hadamard–Bergman Convolution on the Half-Plane
We introduce the Hadamard–Bergman convolution on the half-plane. We show that it exists in terms of the Hadamard product and it is commutative on the...
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Metric convolution and frames
The fractal convolution of two map**s is a binary operation in some space of functions. In previous papers we extracted the main properties of this...
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Inverse and Moore–Penrose inverse of conditional matrices via convolution
Moore–Penrose inverse emerges in statistics, neural networks, machine learning, applied physics, numerical analysis, tensor computations, solving...
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How Exceptional is the Extremal Kendall and Kendall-Type Convolution
This paper deals with the generalized convolutions connected with the Williamson transform and the maximum operation. We focus on such convolutions...
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Product formulas and convolutions for Laplace–Beltrami operators on product spaces: beyond the trivial case
We introduce the notion of a family of convolution operators associated with a given elliptic partial differential operator. Such a convolution...
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Integral Transforms Characterized by Convolution
Inspired by Jaming’s characterization of the Fourier transform on specific groups via the convolution property, we provide a novel approach which...
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Fractal Convolution Bessel Sequences on Rectangle
Fractal functions provide a natural deterministic approximation of complex phenomena and also it has self-similarity. Recently, it has been...
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Boundedness of some convolution-type operators on metric measure spaces
We explore boundedness properties of some natural operators of convolution type in the context of metric measure spaces. Their study is suggested by...
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Convolution-Type Energies
In this chapter we formalize the assumptions on our families of convolution-type functionals. Such assumptions are stated in terms of some growth and...
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Cauchy-Stieltjes Kernel Families and Free Multiplicative Convolution
In this paper, we determine the effect of the free multiplicative convolution on the pseudo-variance function of a Cauchy-Stieltjes kernel family. We...
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Convolution Quadrature
In this chapter, we aim to develop and analyze a class of time-step** schemes for approximately solving the subdiffusion problem (...
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Exponential Synthesis in the Kernel of a q-Sided Convolution Operator
The traditional approach to the exponential synthesis problem for the space of solutions of a homogeneous convolution-type equation in a convex...
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p-Capacity with Bessel Convolution
We define and examine nonlinear potential by Bessel convolution with Bessel kernel. We investigate removable sets with respect to Laplace-Bessel...
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Definable convolution and idempotent Keisler measures
We initiate a systematic study of the convolution operation on Keisler measures, generalizing the work of Newelski in the case of types. Adapting...