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Poisson Integrals for Hermite and Laguerre Expansions

✍ Scribed by Benjamin Muckenhoupt


Book ID
125670165
Publisher
American Mathematical Society
Year
1969
Tongue
English
Weight
259 KB
Volume
139
Category
Article
ISSN
0002-9947

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Spherical Means, Wave Equations, and Her
✍ P.K Ratnakumar; S Thangavelu πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 419 KB

In this paper we study the maximal function associated to the Weyl transform W(+ r ) of the normalised surface measure + r on the sphere |z|=r in C n . This operator is given by the expansion where . k are Laguerre functions of type (n&1) and P k are Hermite projection operators. We show that when