Schrödinger Model for the Minimal Representation of the Indefinite Orthogonal Group O(p,q). (Record no. 69754)
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| fixed length control field | 04349nam a22004813i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC3114223 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240729124603.0 |
| 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 | 240724s2011 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781470406172 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780821847572 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC3114223 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL3114223 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)ebr11039842 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)922981771 |
| 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 | QA387 -- .K633 2011eb |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512/.582 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Kobayashi, Toshiyuki. |
| 245 10 - TITLE STATEMENT | |
| Title | Schrödinger Model for the Minimal Representation of the Indefinite Orthogonal Group O(p,q). |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Providence : |
| Name of producer, publisher, distributor, manufacturer | American Mathematical Society, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2011. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2011. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (145 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.213 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Intro -- Contents -- Chapter 1. Introduction -- 1.1. Differential operators on the isotropic cone -- 1.2. `Fourier transform' FC on the isotropic cone C -- 1.3. Kernel of FC and Bessel distributions -- 1.4. Perspectives from representation theory - finding smallest objects -- 1.5. Minimal representations of simple Lie groups -- 1.6. Schrödinger model for the Weil representation -- 1.7. Schrödinger model for the minimal representation of O(p,q) -- 1.8. Uncertainty relation - inner products and G-actions -- 1.9. Special functions and minimal representations -- 1.10. Organization of this book -- 1.11. Acknowledgements -- Chapter 2. Two models of the minimal representation of O(p,q) -- 2.1. Conformal model -- 2.2. L2-model (the Schrödinger model) -- 2.3. Lie algebra action on L2(C) -- 2.4. Commuting differential operators on C -- 2.5. The unitary inversion operator FC=(w0) -- Chapter 3. K-finite eigenvectors in the Schrödinger model L2(C) -- 3.1. Result of this chapter -- 3.2. K Mmax-invariant subspaces Hl,k -- 3.3. Integral formula for the K Mmax-intertwiner -- 3.4. K-finite vectors fl,k in L2(C) -- 3.5. Proof of Theorem 3.1.1 -- Chapter 4. Radial part of the inversion -- 4.1. Result of this chapter -- 4.2. Proof of Theorem 4.1.1 (1) -- 4.3. Preliminary results on multiplier operators -- 4.4. Reduction to Fourier analysis -- 4.5. Kernel function Kl,k -- 4.6. Proof of Theorem 4.1.1 (2) -- Chapter 5. Main theorem -- 5.1. Result of this chapter -- 5.2. Radon transform for the isotropic cone C -- 5.3. Spectra of K'-invariant operators on Sp-2Sq-2 -- 5.4. Proof of Theorem 5.1.1 -- 5.5. Proof of Lemma 5.4.2 (Hermitian case q=2) -- 5.6. Proof of Lemma 5.4.2 (p,q> -- 2) -- Chapter 6. Bessel distributions -- 6.1. Meijer's G-distributions -- 6.2. Integral expression of Bessel distributions -- 6.3. Differential equations for Bessel distributions. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Chapter 7. Appendix: special functions -- 7.1. Riesz distribution x+ -- 7.2. Bessel functions J, I, K, Y -- 7.3. Associated Legendre functions P -- 7.4. Gegenbauer polynomials Cl -- 7.5. Spherical harmonics Hj(Rm) and branching laws -- 7.6. Meijer's G-functions Gp,qm,n(to1.5. x |to1.5. a1, @let@token , ap b1, @let@token , bq)to1.5. -- 7.7. Appell's hypergeometric functions F1, F2, F3, F4 -- 7.8. Hankel transform with trigonometric parameters -- 7.9. Fractional integral of two variables -- Bibliography -- List of Symbols -- Index. |
| 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 | Representations of Lie groups. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Schrödinger equation. |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Mano, Gen. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Kobayashi, Toshiyuki |
| Title | Schrödinger Model for the Minimal Representation of the Indefinite Orthogonal Group O(p,q) |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c2011 |
| International Standard Book Number | 9780821847572 |
| 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=3114223">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114223</a> |
| Public note | Click to View |
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