Locally Analytic Vectors in Representations of Locally (Record no. 128778)
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| 000 -LEADER | |
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| fixed length control field | 04451nam a22004573i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC4940241 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240729131353.0 |
| 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 | 240724s2017 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781470440527 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780821875629 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC4940241 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL4940241 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)ebr11421866 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)993440754 |
| 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 | QA241.E54 2017 |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512.7/4 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Emerton, Matthew J. |
| 245 10 - TITLE STATEMENT | |
| Title | Locally Analytic Vectors in Representations of Locally |
| Name of part/section of a work | |
| -- | adic Analytic Groups. |
| 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 | 2017. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2017. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (168 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.248 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Cover -- Title page -- Introduction -- 0.1. Locally analytic vectors and locally analytic representations -- 0.2. The organization of the memoir -- 0.3. Terminology, notation, and conventions -- Chapter 1. Non-archimedean functional analysis -- 1.1. Functional analytic preliminaries -- 1.2. Fréchet-Stein algebras -- Chapter 2. Non-archimedean function theory -- 2.1. Continuous rigid analytic, and locally analytic functions -- 2.2. Distributions -- 2.3. Change of field -- Chapter 3. Continuous, analytic, and locally analytic vectors -- 3.1. Regular representations -- 3.2. The orbit map and continuous vectors -- 3.3. Analytic vectors -- 3.4. Analytic vectors continued -- 3.5. Locally analytic vectors -- 3.6. Analytic and locally analytic representations -- Chapter 4. Smooth, locally finite, and locally algebraic vectors -- 4.1. Smooth and locally finite vectors and representations -- 4.2. Locally algebraic vectors and representations -- Chapter 5. Rings of distributions -- 5.1. Frobenius reciprocity and group rings of distributions -- 5.2. Completions of universal enveloping algebras -- 5.3. Rings of locally analytic distributions are Fréchet-Stein algebras -- Chapter 6. Admissible locally analytic representations -- 6.1. Admissible locally analytic representations -- 6.2. Strongly admissible locally analytic representations and admissible continuous representations -- 6.3. Admissible smooth and admissible locally algebraic representations -- 6.4. Essentially admissible locally analytic representations -- 6.5. Invariant lattices -- Chapter 7. Representations of certain product groups -- 7.1. Strictly smooth representations -- 7.2. Extensions of notions of admissibility for representations of certain product groups -- Bibliography -- Back Cover. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | The goal of this memoir is to provide the foundations for the locally analytic representation theory that is required in three of the author's other papers on this topic. In the course of writing those papers the author found it useful to adopt a particular point of view on locally analytic representation theory: namely, regarding a locally analytic representation as being the inductive limit of its subspaces of analytic vectors (of various "radii of analyticity"). The author uses the analysis of these subspaces as one of the basic tools in his study of such representations. Thus in this memoir he presents a development of locally analytic representation theory built around this point of view. The author has made a deliberate effort to keep the exposition reasonably self-contained and hopes that this will be of some benefit to the reader. |
| 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 | p-adic analysis. |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Emerton, Matthew J. |
| Title | Locally Analytic Vectors in Representations of Locally |
| -- | |
| -- | adic Analytic Groups |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c2017 |
| International Standard Book Number | 9780821875629 |
| 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=4940241">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=4940241</a> |
| Public note | Click to View |
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