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Lectures on Hermite and Laguerre Expansions
Sundaram Thangavelu
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Description for Lectures on Hermite and Laguerre Expansions
Paperback. The interplay between analysis on Lie groups and the theory of special functions is well known. This book deals with the case of the Heisenberg group and the related expansions in terms of Hermite, special Hermite, and Laguerre functions. It develops Littlewood-Paley-Stein theory for the expansions and uses the theory to prove multiplier theorems. Series: Mathematical Notes. Num Pages: 214 pages, black & white illustrations. BIC Classification: PBG. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 229 x 152 x 12. Weight in Grams: 314.
The interplay between analysis on Lie groups and the theory of special functions is well known. This monograph deals with the case of the Heisenberg group and the related expansions in terms of Hermite, special Hermite, and Laguerre functions. The main thrust of the book is to develop a concrete Littlewood-Paley-Stein theory for these expansions and use the theory to prove multiplier theorems. The questions of almost-everywhere and mean convergence of Bochner-Riesz means are also treated. Most of the results in this monograph appear for the first time in book form.
The interplay between analysis on Lie groups and the theory of special functions is well known. This monograph deals with the case of the Heisenberg group and the related expansions in terms of Hermite, special Hermite, and Laguerre functions. The main thrust of the book is to develop a concrete Littlewood-Paley-Stein theory for these expansions and use the theory to prove multiplier theorems. The questions of almost-everywhere and mean convergence of Bochner-Riesz means are also treated. Most of the results in this monograph appear for the first time in book form.
Product Details
Format
Paperback
Publication date
1993
Publisher
Princeton University Press United States
Number of pages
214
Condition
New
Series
Mathematical Notes
Number of Pages
214
Place of Publication
New Jersey, United States
ISBN
9780691000480
SKU
V9780691000480
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
About Sundaram Thangavelu
Sundaram Thangavelu is a member of the Tata Institute of Fundamental Research in Bangalore, India.
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