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

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:
Thangavelu, Sundaram,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2020]
©1993
Year of Publication:2020
Language:English
Series:Mathematical Notes ; 103
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Physical Description:1 online resource (214 p.)
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(OCoLC)1198930715
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spelling Thangavelu, Sundaram, author. aut http://id.loc.gov/vocabulary/relators/aut
Lectures on Hermite and Laguerre Expansions. (MN-42), Volume 42 / Sundaram Thangavelu.
Princeton, NJ : Princeton University Press, [2020]
©1993
1 online resource (214 p.)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
Mathematical Notes ; 103
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
restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star
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.
Mode of access: Internet via World Wide Web.
In English.
Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022)
Hermite polynomials.
Laguerre polynomials.
Representations of groups.
MATHEMATICS / Algebra / Abstract. bisacsh
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.
Title is part of eBook package: De Gruyter Princeton Mathematical Notes eBook-Package 1970-2016 9783110494921 ZDB-23-PMN
Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 9783110442496
https://doi.org/10.1515/9780691213927?locatt=mode:legacy
https://www.degruyter.com/isbn/9780691213927
Cover https://www.degruyter.com/document/cover/isbn/9780691213927/original
language English
format eBook
author Thangavelu, Sundaram,
Thangavelu, Sundaram,
spellingShingle Thangavelu, Sundaram,
Thangavelu, Sundaram,
Lectures on Hermite and Laguerre Expansions. (MN-42), Volume 42 /
Mathematical Notes ;
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
author_facet Thangavelu, Sundaram,
Thangavelu, Sundaram,
author_variant s t st
s t st
author_role VerfasserIn
VerfasserIn
author_sort Thangavelu, Sundaram,
title 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_auth Lectures on Hermite and Laguerre Expansions. (MN-42), Volume 42 /
title_alt 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
title_new Lectures on Hermite and Laguerre Expansions. (MN-42), Volume 42 /
title_sort lectures on hermite and laguerre expansions. (mn-42), volume 42 /
series Mathematical Notes ;
series2 Mathematical Notes ;
publisher Princeton University Press,
publishDate 2020
physical 1 online resource (214 p.)
contents 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
isbn 9780691213927
9783110494921
9783110442496
callnumber-first Q - Science
callnumber-subject QA - Mathematics
callnumber-label QA404
callnumber-sort QA 3404.5 T37 41993EB
url https://doi.org/10.1515/9780691213927?locatt=mode:legacy
https://www.degruyter.com/isbn/9780691213927
https://www.degruyter.com/document/cover/isbn/9780691213927/original
illustrated Not Illustrated
dewey-hundreds 500 - Science
dewey-tens 510 - Mathematics
dewey-ones 515 - Analysis
dewey-full 515/.55
dewey-sort 3515 255
dewey-raw 515/.55
dewey-search 515/.55
doi_str_mv 10.1515/9780691213927?locatt=mode:legacy
oclc_num 1198930715
work_keys_str_mv AT thangavelusundaram lecturesonhermiteandlaguerreexpansionsmn42volume42
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ids_txt_mv (DE-B1597)554843
(OCoLC)1198930715
carrierType_str_mv cr
hierarchy_parent_title Title is part of eBook package: De Gruyter Princeton Mathematical Notes eBook-Package 1970-2016
Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999
is_hierarchy_title Lectures on Hermite and Laguerre Expansions. (MN-42), Volume 42 /
container_title Title is part of eBook package: De Gruyter Princeton Mathematical Notes eBook-Package 1970-2016
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