Analysis is the study of limiting processes. Not every limiting process, of course, converges,
but examples have been found where processes diverge in a maximal way. Such an …

Fock Spaces for the q-Dunkl Kernel Page 1 Advances in Pure Mathematics, 2012, 2, 169-176
doi:10.4236/apm.2012.23023 Published Online May 2012 (http://www.SciRP.org/journal/apm) …

We prove identities involving the integral kernels of three versions (two being introduced
here) of the Segal–Bargmann transform associated to a finite Coxeter group acting on a …

УДК 517.53 Операторы Данкла как операторы свертки© 2008 г. Член-корреспондент
РАН ВВ Напалков, ВВ Напалков (мл.) Поступило 28.07. 2008 г. Пусть H (C) …

Abstract For the Dunkl operator\Lambda_ α\,\,(α>-1/2) Λ α (α>-1/2) on the space of entire
functions on the complex space CC, the critical rate of growth for the integral means M_p (f …

We consider generalized convolution operators generated by operators of Gel'fond-Leont'ev
generalized differentiation. In this paper, we prove that any such operator not coinciding with …

Рассматривается оператор Данкла—объект математической физики, изучается ядро и
сюръективность операторов свёртки Данкла в пространстве целых функций и …

arXiv:1102.5011v5 [math.CV] 4 Oct 2012 Page 1 arXiv:1102.5011v5 [math.CV] 4 Oct 2012
COMMUTATION RELATIONS AND HYPERCYCLIC OPERATORS VITALY E. KIM Abstract In …

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 …

In our thesis we consider:• pseudo-differential operators generated by the Dunkl operator;•
inverse source problem for Dunkl-heat equation with the Caputo fractional derivative;• …