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We consider Fourier multipliers for Lp associated with the Dunkl operator on R and establish
a version of Hörmander's multiplier theorem. In applying this version, we come up with some …

In this paper, we give some applications of the Dunkl-type Segal–Bargmann transform ℬ α in
the field of partial differential equations, such as the time-dependent Dunkl–Dirac Laplacian …

In this paper, we give some applications of the Weinstein-type Segal–Bargmann transform B
α in the field of partial differential equations, such as the time-dependent Schrödinger …

In this paper we obtain necessary and sufficient conditions on the parameters for the
boundedness of the Dunkl-type fractional maximal operator Mβ, and the Dunkl-type …

Using a polarization of a suitable restriction map, and heat-kernel analysis, we construct a
generalized Segal-Bargmann transform associated with every finite Coxeter group G on ℝ …

We show that there exist infinitely many positive integers m not of the form n-&ohgr;(n) for
any positive integer n. Here, &ohgr;(n) stands for the number of distinct prime factors of n. A …

In 1961, Bargmann introduced the classical Segal–Bargmann transform and in 1984,
Cholewinsky introduced the generalized Segal–Bargmann transform. These two transforms …

In this work, we establish Heisenberg-type uncertainty principle for the Dunkl-type Segal–
Bargmann space F_k (C) F k (C). Next, we give Heisenberg-type uncertainty principle, local …

Littlewood–Paley operators associated with the Dunkl operator on R Page 1 Journal of
Functional Analysis 221 (2005) 205–225 www.elsevier.com/locate/jfa Littlewood–Paley operators …