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فتحي بوزفور Fethi Bouzeffour

Professor

استاذ بقسم الرياضيات كلية العلوم

كلية العلوم
AA 129
المنشورات
مقال فى مجلة
2016

FRACTIONAL INTEGRATION OPERATOR ON SOME RADIAL RAYS AND INTERTWINING FOR THE DUNKL OPERATOR

Fethi, Bouzeffour . 2016

Abstract

In this paper we consider the differential-difference reflection operator associated with a finite cyclic group, 

Y(v)f(x) = df(x)/dx + Sigma(m-1)(i-1)mv(i) + m - i/x Sigma(m-1)(j-1)epsilon(-ij) f(epsilon(j)x). 

First we show that the Dimovski ([5], [6]) hyper-Bessel differential operator of arbitrary integer order m is close in frame of the algebra similar to U(sl(2; C)). Secondly, we introduce a difference-differential operator associated to finite cyclic group in the rank one case, and then by using a Poisson-type integral transform proposed by Dimovski and Kiryakova ([7], [11]), we construct a new explicit intertwining (transmutation) operator between the operator Y-v and the derivative operator d/dx. 

It is to emphasize that both hyper-Bessel operators and the so-called Poisson-Dimovski transformation (transmutation) are typical examples of the operators of generalized fractional calculus [11, 12].

رقم المجلد
Volume: 19 Issue: 3 Pages: 725-740
مجلة/صحيفة
FRACTIONAL CALCULUS AND APPLIED ANALYSIS
مزيد من المنشورات
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بواسطة Bouzeffour, F Jedidi, W Chorfi,
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The aim of this paper is to prove Heisenberg-Pauli-Weyl inequality for a fractional power of the Dunkl transform on the real line for which there is an index law and a Plancherel…

بواسطة Ghazouani, Sami Bouzeffour Fethi
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publications

Abstract

In this paper we consider the differential-difference reflection operator associated with a finite cyclic group, 

Y(v)f(x) = df(x)/dx + Sigma(m-1)(i-1)mv(i) + m - i/x Sigma(…

بواسطة Bouzeffour Fethi
2016