Sobolev‐Type Spaces on the Dual of the Chébli‐Trimèche Hypergroup and Applications
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 We define and study Sobolev‐type spaces WAs,pℝ+ associated with singular second‐order differential operator on (0, ∞). Some properties are given; in particular we establish a compactness‐type imbedding result which allows a Reillich‐type theorem. Next, we introduce a generalized Weierstrass transform and, using the theory of reproducing kernels, some ...
Mourad Jelassi +2 more
wiley +1 more source
Hv-module of functions over Hv-ring of arithmetics and it’s fundamental module
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaAfter introducing the definition of hypergroups by Marty, the study of hyperstructures and its connections with other fields has been of great importance. In this paper, we continue the investigation between hyperstructure theory and number theory.
Al Tahan M., Davvaz B.
doaj +1 more source
(Intuitionistic) Fuzzy Grade of a Hypergroupoid: A Survey of Some Recent Researches
Ratio Mathematica, 2012 This paper aims to present a short survey on two numerical functions determined by a hypergroupoid, called the fuzzy grade and the intuitionistic fuzzy grade of a hypergroupoid.
Irina Cristea
doaj
On the local time of random walks associated with Gegenbauer polynomials
, 2010 The local time of random walks associated with Gegenbauer polynomials $P_n^{(\alpha)}(x),\ x\in [-1,1]$ is studied in the recurrent case: $\alpha\in\ [-\frac{1}{2},0]$.
Guillotin-Plantard, Nadine
core +3 more sources
Mehler Semigroups, Ornstein-Uhlenbeck processes and background driving Lévy processes on locally compact groups and on hypergroups [PDF]
, 2009 For finite dimensional vector spaces it is well-known that there exists a 1-1-correspondence between distributions of Ornstein-Uhlenbeck type processes (w.r.t. a fixed group of automorphisms) and (background driving) Lévy processes.
Hazod, Wilfried
core
A family of 0-simple semihypergroups related to sequence A000070 [PDF]
, 2016 For any integer n 65 2, let R_0(n + 1) be the class of 0-semihypergroups H of size n + 1 such that {y} 86 xy 86 {0, y} for all x, y 08 H - {0}, all subsemihypergroups K 86 H are 0-simple and, when |K| 65 3, the fundamental relation \u3b2_K is not ...
De Salvo, Mario +3 more
core
Intuitionistic fuzzy set of Γ -submodules and its application in modeling spread of viral diseases, mutated COVID-n, via flights. [PDF]
Int J Intell Syst, 2022 Firouzkouhi N +4 more
europepmc +1 more source
Nonnegative and strictly positive linearization of Jacobi and generalized Chebyshev polynomials
, 2019 In the theory of orthogonal polynomials, as well as in its intersection with harmonic analysis, it is an important problem to decide whether a given orthogonal polynomial sequence $(P_n(x))_{n\in\mathbb{N}_0}$ satisfies nonnegative linearization of ...
Kahler, Stefan
core
From monoids to hyperstructures: in search of an absolute arithmetic
, 2010 We show that the trace formula interpretation of the explicit formulas expresses the counting function N(q) of the hypothetical curve C associated to the Riemann zeta function, as an intersection number involving the scaling action on the adele class ...
Connes, Alain, Consani, Caterina
core
q-Krawtchouk polynomials as spherical functions on the Hecke algebra of type B
, 1996 The generic Hecke algebra for the hyperoctahedral group, i.e. the Weyl group of type B, contains the generic Hecke algebra for the symmetric group, i.e. the Weyl group of type A, as a subalgebra.
Koelink, H. T.
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