Lectures on Hermite and Laguerre Expansions. (MN-42), Volume 42:
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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| Main Author: | |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Princeton, NJ
Princeton University Press
[2020]
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| Series: | Mathematical Notes
103 |
| Subjects: | |
| Online Access: | DE-1043 DE-1046 DE-859 DE-860 DE-739 DE-858 Volltext |
| Summary: | 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 |
| Item Description: | Description based on online resource; title from PDF title page (publisher's Web site, viewed 15. Sep 2020) |
| Physical Description: | 1 online resource (214 pages) |
| ISBN: | 9780691213927 |
| DOI: | 10.1515/9780691213927 |
Staff View
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| 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 | ||
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| 650 | 4 | |a Corollary | |
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| 650 | 4 | |a Harmonic analysis | |
| 650 | 4 | |a Laguerre Functions | |
| 650 | 4 | |a Lemma | |
| 650 | 4 | |a Mehler's formula | |
| 650 | 4 | |a Multipliers | |
| 650 | 4 | |a Proposition | |
| 650 | 4 | |a Radial Functions | |
| 650 | 4 | |a Restriction Theorem | |
| 650 | 4 | |a Riesz Transforms | |
| 650 | 4 | |a Special Hermite | |
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| illustrated | Not Illustrated |
| index_date | 2024-07-03T15:40:23Z |
| indexdate | 2025-02-19T17:29:11Z |
| institution | BVB |
| isbn | 9780691213927 |
| language | English |
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| spelling | Thangavelu, Sundaram Verfasser aut Lectures on Hermite and Laguerre Expansions. (MN-42), Volume 42 Sundaram Thangavelu Princeton, NJ Princeton University Press [2020] © 1993 1 online resource (214 pages) txt rdacontent c rdamedia cr rdacarrier Mathematical Notes 103 Description based on online resource; title from PDF title page (publisher's Web site, viewed 15. Sep 2020) 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 In English Asymptotic Properties Corollary Critical Index Fourier transform Harmonic analysis Laguerre Functions Lemma Mehler's formula Multipliers Proposition Radial Functions Restriction Theorem Riesz Transforms Special Hermite Theorem constants formula hypothesis integers operator orthonormal oscillatory integrals transplantation MATHEMATICS / Algebra / Abstract bisacsh Hermite polynomials Laguerre polynomials Representations of groups https://doi.org/10.1515/9780691213927 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Thangavelu, Sundaram Lectures on Hermite and Laguerre Expansions. (MN-42), Volume 42 Asymptotic Properties Corollary Critical Index Fourier transform Harmonic analysis Laguerre Functions Lemma Mehler's formula Multipliers Proposition Radial Functions Restriction Theorem Riesz Transforms Special Hermite Theorem constants formula hypothesis integers operator orthonormal oscillatory integrals transplantation MATHEMATICS / Algebra / Abstract bisacsh Hermite polynomials Laguerre polynomials Representations of groups |
| title | Lectures on Hermite and Laguerre Expansions. (MN-42), Volume 42 |
| title_auth | Lectures on Hermite and Laguerre Expansions. (MN-42), Volume 42 |
| title_exact_search | Lectures on Hermite and Laguerre Expansions. (MN-42), Volume 42 |
| title_exact_search_txtP | Lectures on Hermite and Laguerre Expansions. (MN-42), Volume 42 |
| title_full | Lectures on Hermite and Laguerre Expansions. (MN-42), Volume 42 Sundaram Thangavelu |
| title_fullStr | Lectures on Hermite and Laguerre Expansions. (MN-42), Volume 42 Sundaram Thangavelu |
| title_full_unstemmed | Lectures on Hermite and Laguerre Expansions. (MN-42), Volume 42 Sundaram Thangavelu |
| title_short | Lectures on Hermite and Laguerre Expansions. (MN-42), Volume 42 |
| title_sort | lectures on hermite and laguerre expansions mn 42 volume 42 |
| topic | Asymptotic Properties Corollary Critical Index Fourier transform Harmonic analysis Laguerre Functions Lemma Mehler's formula Multipliers Proposition Radial Functions Restriction Theorem Riesz Transforms Special Hermite Theorem constants formula hypothesis integers operator orthonormal oscillatory integrals transplantation MATHEMATICS / Algebra / Abstract bisacsh Hermite polynomials Laguerre polynomials Representations of groups |
| topic_facet | Asymptotic Properties Corollary Critical Index Fourier transform Harmonic analysis Laguerre Functions Lemma Mehler's formula Multipliers Proposition Radial Functions Restriction Theorem Riesz Transforms Special Hermite Theorem constants formula hypothesis integers operator orthonormal oscillatory integrals transplantation MATHEMATICS / Algebra / Abstract Hermite polynomials Laguerre polynomials Representations of groups |
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