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Product Convolution of Generalized Subexponential Distributions
Mathematics, 2023 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]
Sahand Communications in Mathematical Analysis, 2023 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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Mathematics, 2021 Segal introduce the Fourier–Wiener transform for the class of polynomial cylinder functions on Hilbert space, and Hida then develop this concept. Negrin define the extended Wiener transform with Hayker et al. In recent papers, Hayker et al. establish the
Hyun Soo Chung
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Some Subclasses of Spirallike Multivalent Functions Associated with a Differential Operator
Mathematics, 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
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SUBORDINATION RESULTS FOR A FRACTIONAL INTEGRAL OPERATOR
Проблемы анализа, 2021 In this paper, we establish several differential subordinations regarding the operator 𝐷^(−𝜆)_𝑧 𝑆𝑅^(𝑚,𝑛) defined using the fractional integral of the differential operator 𝑆𝑅^(𝑚,𝑛), obtained as a convolution product of Salagean operator 𝑆^𝑚 and ...
A. Alb Lupaş
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Caputo Fractional Evolution Equations in Discrete Sequences Spaces
Foundations, 2022 In this paper, we treat some fractional differential equations on the sequence Lebesgue spaces ℓp(N0) with p≥1. The Caputo fractional calculus extends the usual derivation.
Alejandro Mahillo, Pedro J. Miana
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Geometric distribution series connected with certain subclasses of univalent functions [PDF]
Surveys in Mathematics and its Applications, 2023 In this paper, we consider the class of normalized analytic functions of the form f(z)=z+∑n=2∞ anzn. Following this functions, we define the functions whose coefficients are probabilities of the geometric distribution series and other special modes of ...
M. Taliyan, Sh. Najafzadeh, M. R. Azimi
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Convolutions generated by the dirichlet problem of the sturm-liouville operator
Вестник КазНУ. Серия математика, механика, информатика, 2022 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
Fractal and Fractional, 2023 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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Conditionally monotone independence I: Independence, additive convolutions and related convolutions [PDF]
, 2011 We define a product of algebraic probability spaces equipped with two states. This product is called a conditionally monotone product. This product is a new example of independence in non-commutative probability theory and unifies the monotone and ...
Hasebe, Takahiro
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