Results 21 to 30 of about 454,230 (160)
On Some Inequalities in Normed Linear Spaces [PDF]
, 2007 Upper and lower bounds for the norm of a linear combination of vectors are given. Applications in obtaining various inequalities for the quantities ||x/||x|| - y/||y|| || and ||x/||y|| - y/||x|| ||, where x and y are nonzero vectors, that are related ...
Dragomir, Sever S
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DUNKL OPERATORS FOR COMPLEX REFLECTION GROUPS [PDF]
Proceedings of the London Mathematical Society, 2003 Dunkl operators for complex reflection groups are defined in this paper. These commuting operators give rise to a parameterized family of deformations of the polynomial De Rham complex. This leads to the study of the polynomial ring as a module over the ‘rational Cherednik algebra’, and a natural contravariant form on this module.
Dunkl, C.F., Opdam, E.M.
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Generalized Dunkl operator [PDF]
Ufimskii Matematicheskii Zhurnal, 2014 In the paper we introduce a generalized Dunkl operator acting in the space of entire functions on C. We study problems of harmonic analysis related with this operator and show its connection with the Gelfond-Leont'ev operator of generalized differentiation.
Il'mir Irshatovich Karamov +1 more
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Higher order Riesz transforms for the Dunkl Ornstein-Uhlenbeck operator [PDF]
, 2019 summary:The aim of this paper is to extend the study of Riesz transforms associated to Dunkl Ornstein-Uhlenbeck operator considered by A. Nowak, L. Roncal and K.
Nefzi, Walid
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Математичні Студії, 2022 In the present investigation, inspired by the work on Yamaguchi type class of analytic functions satisfyingthe analytic criteria $\mathfrak{Re}\{\frac{f (z)}{z}\} > 0, $ in the open unit disk $\Delta=\{z \in \mathbb{C}\colon |z|
T. Panigrahi, G. Murugusundaramoorthy
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Semigroup and Riesz transform for the Dunkl–Schrödinger operators [PDF]
Semigroup Forum, 2020 Let $L_k=-Δ_k+V$ be the Dunk- Schrödinger operators, where $Δ_k=\sum_{j=1}^dT_j^2$ is the Dunkl Laplace operator associated to the dunkl operators $T_j$ on $\mathbb{R}^d$ and $V$ is a nonnegative potential function. In the first part of this paper we introduce the Riesz transform $R_j= T_j L_k^{-1/2}$ as an $L^2$- bounded operator and we prove that is ...
Amri, Béchir, Hammi, Amel
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Supersymmetric Wigner–Dunkl quantum mechanics
Results in Physics, 2022 Wigner–Dunkl quantum mechanics can be viewed as deformed quantum mechanics, where the commutator between canonical momentum and position operators contains in addition a reflection operator.
Shi-Hai Dong +3 more
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Dunkl intertwining operator for symmetric groups
, 2021 In this note, we express explicitly the Dunkl kernel and generalized Bessel functions of type A(n-1) by the Humbert's function Phi((n))(2), with one variable specified.
De Bie, Hendrik, Lian, Pan
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The Dunkl convolution operators and multipoint de la Vallee–Poussin problem
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013 The Dunkl operator as an object of mathematical physics is considered, we study the kernel and the surjectivity of Dunkl convolution operators in the space of entire functions and the space of entire functions of exponential type.
Karina Raisovna Zabirova +1 more
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Comptes Rendus. Mathématique, 2023 Our aim in this paper is to show that the modulus of smoothness and the $K$-functionals constructed from the Sobolev-type space corresponding to the Dunkl operator are equivalent on the interval $(-1,1)$.
Saadi, Faouaz, Daher, Radouan
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