MARC details
| 000 -LEADER |
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| fixed length control field |
02174cam a22003258i 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20240529100231.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
191125s2019 nyu b 001 0 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781108485449 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
NISER LIBRARY |
| Language of cataloging |
eng |
| Transcribing agency |
NISER LIBRARY |
| 041 ## - LANGUAGE CODE |
|---|
| Language code of text/sound track or separate title |
English |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
517.98 |
| Item number |
AGL-O |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Agler, Jim. |
| 245 10 - TITLE STATEMENT |
|---|
| Title |
Operator analysis : |
| Remainder of title |
hilbert space methods in complex analysis |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
|---|
| Place of publication, distribution, etc. |
Cambridge : |
| Name of publisher, distributor, etc. |
Cambridge University Press, |
| Date of publication, distribution, etc. |
2020. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xv, 375p. : |
| Other physical details |
illustrations ; |
| Dimensions |
24 cm. |
| 490 ## - SERIES STATEMENT |
|---|
| Series statement |
Cambridge tracts in mathematics ; |
| Volume/sequential designation |
219 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references and index. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc. |
This book shows how operator theory interacts with function theory in one and several variables. The authors develop the theory in detail, leading the reader to the cutting edge of contemporary research. It starts with a treatment of the theory of bounded holomorphic functions on the unit disc. Model theory and the network realization formula are used to solve Nevanlinna-Pick interpolation problems, and the same techniques are shown to work on the bidisc, the symmetrized bidisc, and other domains. The techniques are powerful enough to prove the Julia-Carathéodory theorem on the bidisc, Lempert's theorem on invariant metrics in convex domains, the Oka extension theorem, and to generalize Loewner's matrix monotonicity results to several variables. In Part II, the book gives an introduction to non-commutative function theory, and shows how model theory and the network realization formula can be used to understand functions of non-commuting matrices. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Operator theory. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Holomorphic functions. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Geometric function theory. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Hilbert space. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
McCarthy, John E. |
| Fuller form of name |
(John Edward) |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Young, Nicholas. |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
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| Materials specified |
Table of Contents |
| Uniform Resource Identifier |
<a href="https://assets.cambridge.org/97811084/85449/toc/9781108485449_toc.pdf">https://assets.cambridge.org/97811084/85449/toc/9781108485449_toc.pdf</a> |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
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| Materials specified |
Excerpt |
| Uniform Resource Identifier |
<a href="https://assets.cambridge.org/97811084/85449/excerpt/9781108485449_excerpt.pdf">https://assets.cambridge.org/97811084/85449/excerpt/9781108485449_excerpt.pdf</a> |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
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| Materials specified |
Reviews |
| Uniform Resource Identifier |
<a href="https://www.goodreads.com/book/show/53030565-operator-analysis#CommunityReviews">https://www.goodreads.com/book/show/53030565-operator-analysis#CommunityReviews</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Koha item type |
Book |
| Source of classification or shelving scheme |
Universal Decimal Classification |
