Lectures on Hermite and Laguerre Expansions. (MN-42), Volume 42 / / Sundaram Thangavelu.

• Superior document: Title is part of eBook package: De Gruyter Princeton Mathematical Notes eBook-Package 1970-2016
• VerfasserIn: Thangavelu, Sundaram,
• Place / Publishing House: Princeton, NJ : : Princeton University Press, , [2020]; ©1993
• Year of Publication: 2020
• Language: English
• Series: Mathematical Notes ; 103
• Physical Description: 1 online resource (214 p.)
• Other title: Frontmatter --; CONTENTS --; PREFACE --; ACKNOWLEDGEMENTS --; CHAPTER 1. HERMITE, SPECIAL HERMITE AND LAGUERRE FUNCTIONS --; CHAPTER 2. SPECIAL HERMITE EXPANSIONS --; CHAPTER 3. MULTIPLE HERMITE EXPANSIONS --; CHAPTER 4. MULTIPLIERS FOR HERMITE EXPANSIONS --; CHAPTER 5 HERMITE EXPANSIONS ON IR --; CHAPTER 6. LAGUERRE EXPANSIONS --; CHAPTER 7. THE TRANSPLANTATION THEOREMS --; BIBLIOGRAPHY
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9780691213927; 9783110494921; 9783110442496
• DOI: 10.1515/9780691213927?locatt=mode:legacy
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Sundaram Thangavelu.

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.