Analysis of the Hodge Laplacian on the Heisenberg Group. (Record no. 69836)
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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 < -- \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> |
Public note | Click to View |
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