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Analysis of the Hodge Laplacian on the Heisenberg Group. (Record no. 69836)

MARC details
000 -LEADER
fixed length control field 03791nam a22004813i 4500
001 - CONTROL NUMBER
control field EBC3114334
003 - CONTROL NUMBER IDENTIFIER
control field MiAaPQ
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240729124605.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS
fixed length control field m o d |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr cnu||||||||
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 240724s2015 xx o ||||0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781470419639
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 9781470409395
035 ## - SYSTEM CONTROL NUMBER
System control number (MiAaPQ)EBC3114334
035 ## - SYSTEM CONTROL NUMBER
System control number (Au-PeEL)EBL3114334
035 ## - SYSTEM CONTROL NUMBER
System control number (CaPaEBR)ebr11040338
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)922981796
040 ## - CATALOGING SOURCE
Original cataloging agency MiAaPQ
Language of cataloging eng
Description conventions rda
-- pn
Transcribing agency MiAaPQ
Modifying agency MiAaPQ
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA403 -- .M55 2014eb
082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515/.785
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Müller, Detlef.
245 10 - TITLE STATEMENT
Title Analysis of the Hodge Laplacian on the Heisenberg Group.
250 ## - EDITION STATEMENT
Edition statement 1st ed.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture Providence, RI :
Name of producer, publisher, distributor, manufacturer American Mathematical Society,
Date of production, publication, distribution, manufacture, or copyright notice 2015.
264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Date of production, publication, distribution, manufacture, or copyright notice ©2015.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (104 pages)
336 ## - CONTENT TYPE
Content type term text
Content type code txt
Source rdacontent
337 ## - MEDIA TYPE
Media type term computer
Media type code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier type term online resource
Carrier type code cr
Source rdacarrier
490 1# - SERIES STATEMENT
Series statement Memoirs of the American Mathematical Society ;
Volume/sequential designation v.233
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Cover -- Title page -- Introduction -- Chapter 1. Differential forms and the Hodge Laplacian on _{ } -- Chapter 2. Bargmann representations and sections of homogeneous bundles -- Chapter 3. Cores, domains and self-adjoint extensions -- Chapter 4. First properties of Δ_{ } -- exact and closed forms -- Chapter 5. A decomposition of ²Λ_{ }^{ } related to the ∂ and ∂ complexes -- 5.1. The subspaces -- 5.2. The action of Δ_{ } -- 5.3. Lifting by Φ -- Chapter 6. Intertwining operators and different scalar forms for Δ_{ } -- 6.1. The case of ₀^{ , } -- 6.2. The case of _{2,ℓ}^{ , } -- 6.3. The case of _{1,ℓ}^{ , } -- Chapter 7. Unitary intertwining operators and projections -- 7.1. A unitary intertwining operator for ₀^{ , } -- 7.2. Unitary intertwining operators for _{1,ℓ}^{ , ,±} -- 7.3. A unitary intertwining operator for ^{ , }_{2,ℓ} -- Chapter 8. Decomposition of ²Λ^{ } -- 8.1. The *-Hodge operator and the case &lt -- \le2 +1 -- Chapter 9. ^{ }-multipliers -- 9.1. The multiplier theorem -- 9.2. Some classes of multipliers -- Chapter 10. Decomposition of ^{ }Λ^{ } and boundedness of the Riesz transforms -- 10.1. ^{ }- boundedness of the intertwining operators _{1,ℓ}^{±} -- 10.2. ^{ }- boundedness of the intertwining operators _{2,ℓ} -- Chapter 11. Applications -- 11.1. Multipliers of Δ_{ } -- 11.2. Exact ^{ }-forms -- 11.3. The Dirac operator -- Chapter 12. Appendix -- Bibliography -- Back Cover.
520 ## - SUMMARY, ETC.
Summary, etc. The authors consider the Hodge Laplacian \Delta on the Heisenberg group H_n, endowed with a left-invariant and U(n)-invariant Riemannian metric. For 0\le k\le 2n+1, let \Delta_k denote the Hodge Laplacian restricted to k-forms. In this paper they address three main, related questions: (1) whether the L^2 and L^p-Hodge decompositions, 1 , hold on H_n; (2) whether the Riesz transforms d\Delta_k^{-\frac 12} are L^p-bounded, for 1.
588 ## - SOURCE OF DESCRIPTION NOTE
Source of description note Description based on publisher supplied metadata and other sources.
590 ## - LOCAL NOTE (RLIN)
Local note Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Harmonic analysis.
655 #4 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Peloso, Marco M.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Ricci, Fulvio.
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Print version:
Main entry heading Müller, Detlef
Title Analysis of the Hodge Laplacian on the Heisenberg Group
Place, publisher, and date of publication Providence, RI : American Mathematical Society,c2015
International Standard Book Number 9781470409395
797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN)
Corporate name or jurisdiction name as entry element ProQuest (Firm)
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Memoirs of the American Mathematical Society
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114334">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114334</a>
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