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Product Convolution of Generalized Subexponential Distributions
Assume that ξ and η are two independent random variables with distribution functions Fξ and Fη, respectively. The distribution of a random variable ξη, denoted by Fξ⊗Fη, is called the product-convolution of Fξ and Fη.
Gustas Mikutavičius, Jonas Šiaulys
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Convolution Product for Hilbert $C^*$-Module Valued Maps [PDF]
In this paper, we introduce a convolution-type product for strongly integrable Hilbert $C^*$-module valued maps on locally compact groups. We investigate various properties of this product related to uniform continuity, boundless, etc.
Mawoussi Todjro, Yaogan Mensah
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Karatsuba Algorithm Revisited for 2D Convolution Computation Optimization. [PDF]
Convolution plays a significant role in many scientific and technological computations, such as artificial intelligence and signal processing. Convolutional computations consist of many dot-product operations (multiplication–accumulation, or MAC), for ...
Wang Q +6 more
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Homotopy Invariance of Convolution Products [PDF]
AbstractThe purpose of this paper is to show that various convolution products are fully homotopical, meaning that they preserve weak equivalences in both variables without any cofibrancy hypothesis. We establish this property for diagrams of simplicial sets indexed by the category of finite sets and injections and for tame $M$-simplicial sets, with $M$
Sagave, S., Sagave, S., Schwede, S.
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Holomorphic Cohomological Convolution and Hadamard Product [PDF]
In this article we explain the link between Pohlen’s extended Hadamard product and the holomorphic cohomological convolution on \mathbb{C}^* . For this purpose we introduce a generalized Hadamard product, which is defined even if the holomorphic ...
Dubussy, Christophe +1 more
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Convolutions generated by the dirichlet problem of the sturm-liouville operator
This paper is devoted to approximations of the product of two continuous functions on a finite segment by some special convolutions. The accuracy of the approximation depends on the length of the segment on which the functions are defined.
Sh. A. Mukhamedmoldina +3 more
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The Convolution Theorem Involving Windowed Free Metaplectic Transform
The convolution product is widely used in many fields, such as signal processing, numerical analysis and so on; however, the convolution theorem in the domain of the windowed metaplectic transformation (WFMT) has not been studied.
Manjun Cui, Zhichao Zhang
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A note on product-convolution for generalized subexponential distributions
In this paper, we consider the stability property of the class of generalized subexponential distributions with respect to product-convolution. Assuming that the primary distribution is in the class of generalized subexponential distributions, we find ...
Dimitrios Konstantinides +2 more
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The neutrix convolution product [PDF]
The commutative neutrix convolution product is evaluated for r,s = 0,1,2, …, λ μ ≠ −1, −2, … and λ + μ ≠ 0, ±1, ±2, ….
Brian Fisher +2 more
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Hadamard Product of Certain Multivalent Analytic Functions with Positive Real Parts
This paper aims to provide sufficient conditions for starlikeness and convexity of Hadamard product (convolution) of certain multivalent analytic functions with positive real parts.
Abdel Moneim Y. Lashin, Mohamed K. Aouf
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