Results 21 to 30 of about 449 (87)
Operational calculus and integral transforms for groups with finite propagation speed [PDF]
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
core +2 more sources
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
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
core +1 more source
The Role of Nonpolynomiality in Uniform Approximation by RBF Networks of Hankel Translates
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
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
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
Rough Hyperfilters in Po‐LA‐Semihypergroups
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
Atomistic subsemirings of the lattice of subspaces of an algebra
Let A be an associative algebra with identity over a field k. An atomistic subsemiring R of the lattice of subspaces of A, endowed with the natural product, is a subsemiring which is a closed atomistic sublattice.
Corsini P. +6 more
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Evolutionary algorithms have proved to be efficient approaches in pursuing optimum solutions of multiobjective optimization problems with the number of objectives equal to or less than three. However, the searching performance degenerates in high‐dimensional objective optimizations.
Anqi Pan +4 more
wiley +1 more source
Hypergroups and Hypergroup Algebras [PDF]
The survey contains a brief description of the ideas, constructions, results, and prospects of the theory of hypergroups and generalized translation operators.
Litvinov, Grigory L.
core

