Symmetrization in analysis / (Record no. 7040)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03327cam a22005658i 4500 |
| 001 - CONTROL NUMBER | |
| control field | on1089758043 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20241121072738.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION | |
| fixed length control field | m d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr ||||||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 190312s2019 enk o 001 0 eng d |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | UkCbUP |
| Language of cataloging | eng |
| Description conventions | rda |
| Transcribing agency | HTM |
| Modifying agency | OCLCO |
| -- | LGG |
| -- | UAB |
| -- | N$T |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781139020244 (ebook) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 1139020242 (ebook) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781108615112 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 1108615112 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Cancelled/invalid ISBN | 9780521830478 (hardback) |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | 2046179 |
| -- | (N$T) |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)1089758043 |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA300 |
| Item number | .B1685 2019 |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 005000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 034000 |
| Source | bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515/.22 |
| Edition number | 23 |
| 049 ## - LOCAL HOLDINGS (OCLC) | |
| Holding library | MAIN |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Baernstein, Albert, |
| Titles and other words associated with a name | II, |
| Dates associated with a name | 1941-2014, |
| Relator term | author. |
| 9 (RLIN) | 11185 |
| 245 10 - TITLE STATEMENT | |
| Title | Symmetrization in analysis / |
| Statement of responsibility, etc | Albert Baernstein II ; with David Drasin, Richard Laugesen. |
| 264 #1 - | |
| -- | Cambridge : |
| -- | Cambridge University Press, |
| -- | 2019. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (xviii, 473 pages) : |
| Other physical details | digital, PDF file(s). |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| Series statement | New mathematical monographs ; |
| Volume number/sequential designation | 36 |
| 500 ## - GENERAL NOTE | |
| General note | Title from publisher's bibliographic system (viewed on 25 Feb 2019). |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | Symmetrization is a rich area of mathematical analysis whose history reaches back to antiquity. This book presents many aspects of the theory, including symmetric decreasing rearrangement and circular and Steiner symmetrization in Euclidean spaces, spheres and hyperbolic spaces. Many energies, frequencies, capacities, eigenvalues, perimeters and function norms are shown to either decrease or increase under symmetrization. The book begins by focusing on Euclidean space, building up from two-point polarization with respect to hyperplanes. Background material in geometric measure theory and analysis is carefully developed, yielding self-contained proofs of all the major theorems. This leads to the analysis of functions defined on spheres and hyperbolic spaces, and then to convolutions, multiple integrals and hypercontractivity of the Poisson semigroup. The author's 'star function' method, which preserves subharmonicity, is developed with applications to semilinear PDEs. The book concludes with a thorough self-contained account of the star function's role in complex analysis, covering value distribution theory, conformal mapping and the hyperbolic metric. |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | Added to collection customer.56279.3 - Master record variable field(s) change: 072 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematical analysis. |
| 9 (RLIN) | 1617 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Symmetric functions. |
| 9 (RLIN) | 11186 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Control theory. |
| 9 (RLIN) | 11187 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Integral equations. |
| 9 (RLIN) | 11188 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | MATHEMATICS / Calculus |
| Source of heading or term | bisacsh |
| 9 (RLIN) | 11189 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | MATHEMATICS / Mathematical Analysis |
| Source of heading or term | bisacsh |
| 9 (RLIN) | 11190 |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 9 (RLIN) | 3907 |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Drasin, D. |
| Fuller form of name | (David), |
| Dates associated with a name | 1940- |
| Relator term | author. |
| 9 (RLIN) | 11191 |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Laugesen, Richard, |
| Dates associated with a name | 1967- |
| Relator term | author. |
| 9 (RLIN) | 11192 |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Display text | Print version: |
| International Standard Book Number | 9780521830478 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | New mathematical monographs ; |
| Volume number/sequential designation | 36. |
| 9 (RLIN) | 11193 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Materials specified | EBSCOhost |
| Uniform Resource Identifier | <a href="https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=2046179">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=2046179</a> |
| 938 ## - | |
| -- | EBSCOhost |
| -- | EBSC |
| -- | 2046179 |
| 994 ## - | |
| -- | 92 |
| -- | N$T |
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