Lectures on Hermite and Laguerre Expansions. (MN-42), Volume 42 / / 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 Lit...
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| Superior document: | Title is part of eBook package: De Gruyter Princeton Mathematical Notes eBook-Package 1970-2016 |
|---|---|
| VerfasserIn: | |
| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2020] ©1993 |
| Year of Publication: | 2020 |
| Language: | English |
| Series: | Mathematical Notes ;
103 |
| Online Access: | |
| Physical Description: | 1 online resource (214 p.) |
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| 100 | 1 | |a Thangavelu, Sundaram, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Lectures on Hermite and Laguerre Expansions. (MN-42), Volume 42 / |c Sundaram Thangavelu. |
| 264 | 1 | |a Princeton, NJ : |b Princeton University Press, |c [2020] | |
| 264 | 4 | |c ©1993 | |
| 300 | |a 1 online resource (214 p.) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 0 | |a Mathematical Notes ; |v 103 | |
| 505 | 0 | 0 | |t Frontmatter -- |t CONTENTS -- |t PREFACE -- |t ACKNOWLEDGEMENTS -- |t CHAPTER 1. HERMITE, SPECIAL HERMITE AND LAGUERRE FUNCTIONS -- |t CHAPTER 2. SPECIAL HERMITE EXPANSIONS -- |t CHAPTER 3. MULTIPLE HERMITE EXPANSIONS -- |t CHAPTER 4. MULTIPLIERS FOR HERMITE EXPANSIONS -- |t CHAPTER 5 HERMITE EXPANSIONS ON IR -- |t CHAPTER 6. LAGUERRE EXPANSIONS -- |t CHAPTER 7. THE TRANSPLANTATION THEOREMS -- |t BIBLIOGRAPHY |
| 506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
| 520 | |a 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. | ||
| 538 | |a Mode of access: Internet via World Wide Web. | ||
| 546 | |a In English. | ||
| 588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) | |
| 650 | 0 | |a Hermite polynomials. | |
| 650 | 0 | |a Laguerre polynomials. | |
| 650 | 0 | |a Representations of groups. | |
| 650 | 7 | |a MATHEMATICS / Algebra / Abstract. |2 bisacsh | |
| 653 | |a Asymptotic Properties. | ||
| 653 | |a Corollary. | ||
| 653 | |a Critical Index. | ||
| 653 | |a Fourier transform. | ||
| 653 | |a Harmonic analysis. | ||
| 653 | |a Laguerre Functions. | ||
| 653 | |a Lemma. | ||
| 653 | |a Mehler's formula. | ||
| 653 | |a Multipliers. | ||
| 653 | |a Proposition. | ||
| 653 | |a Radial Functions. | ||
| 653 | |a Restriction Theorem. | ||
| 653 | |a Riesz Transforms. | ||
| 653 | |a Special Hermite. | ||
| 653 | |a Theorem. | ||
| 653 | |a constants. | ||
| 653 | |a formula. | ||
| 653 | |a hypothesis. | ||
| 653 | |a integers. | ||
| 653 | |a operator. | ||
| 653 | |a orthonormal. | ||
| 653 | |a oscillatory integrals. | ||
| 653 | |a transplantation. | ||
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton Mathematical Notes eBook-Package 1970-2016 |z 9783110494921 |o ZDB-23-PMN |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton University Press eBook-Package Archive 1927-1999 |z 9783110442496 |
| 856 | 4 | 0 | |u https://doi.org/10.1515/9780691213927?locatt=mode:legacy |
| 856 | 4 | 0 | |u https://www.degruyter.com/isbn/9780691213927 |
| 856 | 4 | 2 | |3 Cover |u https://www.degruyter.com/document/cover/isbn/9780691213927/original |
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