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Linear and Bilinear Multiplier Operators for the Dunkl Transform

✍ Scribed by Bechir Amri; Abdessalem Gasmi; Mohamed Sifi


Publisher
SP Birkhäuser Verlag Basel
Year
2010
Tongue
English
Weight
299 KB
Volume
7
Category
Article
ISSN
1660-5446

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Relating transplantation and multipliers
✍ Adam Nowak; Krzysztof Stempak 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 125 KB

## Abstract By expressing the Dunkl transform of order __α__ of a function __f__ in terms of the Hankel transforms of orders __α__ and __α__ + 1 of even and odd parts of __f__, respectively, we show that a considerable part of harmonic analysis of the Dunkl transform on the real line may be reduced

The property of bilinear transformation
✍ Koji Shiomi; Naohisa Otsuka; Hiroshi Inaba; Rokuya Ishii 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 94 KB

In this paper, Schur stability for a linear combination of polynomials is studied. In order to investigate this stability, we first study some important properties of the transformation matrix derived by using the bilinear transformation. And then, under certain assumptions, necessary and sufficient