Results 21 to 30 of about 637 (81)
, 2020 An elegant and fruitful way to bring harmonic analysis into the theory of orthogonal polynomials and special functions, or to associate certain Banach algebras with orthogonal polynomials satisfying a specific but frequently satisfied nonnegative ...
Kahler, Stefan
core +1 more source
Multidimensional Heisenberg convolutions and product formulas for multivariate Laguerre polynomials [PDF]
, 2011 Let $p,q$ positive integers. The groups $U_p(\b C)$ and $U_p(\b C)\times U_q(\b C) $ act on the Heisenberg group $H_{p,q}:=M_{p,q}(\b C)\times \b R$ canonically as groups of automorphisms where $M_{p,q}(\b C)$ is the vector space of all complex $p\times ...
Michael Voit, Ξq R, Ξq R
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Operational calculus and integral transforms for groups with finite propagation speed [PDF]
, 2016 Let $A$ be the generator of a strongly continuous cosine family $(\cos (tA))_{t\in {\bf R}}$ on a complex Banach space $E$. The paper develops an operational calculus for integral transforms and functions of $A$ using the generalized harmonic analysis ...
Blower, Gordon, Doust, Ian
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Dispersion and limit theorems for random walks associated with hypergeometric functions of type BC [PDF]
, 2016 The spherical functions of the noncompact Grassmann manifolds $G_{p,q}(\mathbb F)=G/K$ over the (skew-)fields $\mathbb F=\mathbb R, \mathbb C, \mathbb H$ with rank $q\ge1$ and dimension parameter $p>q$ can be described as Heckman-Opdam hypergeometric ...
Voit, Michael
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Infinite-dimensional $p$-adic groups, semigroups of double cosets, and inner functions on Bruhat--Tits builldings [PDF]
, 2014 We construct $p$-adic analogs of operator colligations and their characteristic functions. Consider a $p$-adic group $G=GL(\alpha+k\infty, Q_p)$, its subgroup $L=O(k\infty,Z_p)$, and the subgroup $K=O(\infty,Z_p)$ embedded to $L$ diagonally. We show that
A. Hatcher +38 more
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The Role of Nonpolynomiality in Uniform Approximation by RBF Networks of Hankel Translates
Journal of Function Spaces, Volume 2019, Issue 1, 2019., 2019 Given μ > −1/2 and c ∈ I = ]0, ∞[, let the space Cμ,c (respectively, Cμ) consist of all those continuous functions u on ]0, c] (respectively, I) such that the limit limz→0+z−μ−1/2u(z) exists and is finite; Cμ,c is endowed with the uniform norm uμ,∞,c=supz∈[0,c]z-μ-12/u(z) (u∈Cμ,c).
Isabel Marrero, Yoshihiro Sawano
wiley +1 more source
Amenability notions of hypergroups and some applications to locally compact groups
, 2016 Different notions of amenability on hypergroups and their relations are studied. Developing Leptin's theorem for discrete hypergroups, we characterize the existence of a bounded approximate identity for hypergroup Fourier algebras.
Alaghmandan, Mahmood
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On Fuzzy Ordered Hyperideals in Ordered Semihyperrings
Advances in Fuzzy Systems, Volume 2019, Issue 1, 2019., 2019 In this paper, we introduce the concept of fuzzy ordered hyperideals of ordered semihyperrings, which is a generalization of the concept of fuzzy hyperideals of semihyperrings to ordered semihyperring theory, and we investigate its related properties. We show that every fuzzy ordered quasi‐hyperideal is a fuzzy ordered bi‐hyperideal, and, in a regular ...
O. Kazancı +3 more
wiley +1 more source
, 2016 Weighted group algebras have been studied extensively in Abstract Harmonic Analysis where complete characterizations have been found for some important properties of weighted group algebras, namely amenability and Arens regularity.
Alaghmandan, Mahmood, Samei, Ebrahim
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Rough Hyperfilters in Po‐LA‐Semihypergroups
Discrete Dynamics in Nature and Society, Volume 2019, Issue 1, 2019., 2019 This paper concerns the study of hyperfilters of ordered LA‐semihypergroups, and presents some examples in this respect. Furthermore, we study the combination of rough set theory and hyperfilters of an ordered LA‐semihypergroup. We define the concept of rough hyperfilters and provide useful examples on it.
Ferdaous Bouaziz +2 more
wiley +1 more source