MARC details
| 000 -LEADER |
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| fixed length control field |
02646nam a22003857a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
IIITD |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20260226131957.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
260222b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781316518991 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
IIITD |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA331 |
| Item number |
.B24 2021 |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
515.9 |
| Edition number |
23 |
| Item number |
BAL-N |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Ball, Joseph A. |
| 245 10 - TITLE STATEMENT |
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| Title |
Noncommutative function-theoretic operator theory and applications |
| Statement of responsibility, etc |
by Joseph A. Ball and Vladimir Bolotnikov |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc |
New York : |
| Name of publisher, distributor, etc |
Cambridge Universirty Press, |
| Date of publication, distribution, etc |
©2022 |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
x, 428 p.; |
| Dimensions |
25 cm. |
| 490 0# - SERIES STATEMENT |
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| Series statement |
Cambridge tracts in mathematics; |
| Volume number/sequential designation |
225 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references and index. |
| 505 ## - FORMATTED CONTENTS NOTE |
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| Title |
1. Introduction |
| 505 ## - FORMATTED CONTENTS NOTE |
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| Title |
2. Formal Reproducing Kenel Hilbert Spaces |
| 505 ## - FORMATTED CONTENTS NOTE |
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| Title |
3. Contractive multipliers |
| 505 ## - FORMATTED CONTENTS NOTE |
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| Title |
4. Stein relations and observability range spaces |
| 505 ## - FORMATTED CONTENTS NOTE |
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| Title |
5. Beurling-Lax theorems based on contractive multipliers |
| 505 ## - FORMATTED CONTENTS NOTE |
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| Title |
6. Non-orthogonal Beurling-Lax representations |
| 505 ## - FORMATTED CONTENTS NOTE |
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| Title |
7. Orthogonal Beurling-Lax representations |
| 505 ## - FORMATTED CONTENTS NOTE |
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| Title |
8. Models for -hypercontractive operator tuples |
| 505 ## - FORMATTED CONTENTS NOTE |
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| Title |
9. Regular formal power series |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
"This concise monograph explores how core ideas in Hardy -space function theory and operator theory continue to be useful and informative in new settings, leading to new insights for noncommutative multivariable operator theory. Beginning with a review of the confluence of system -theory ideas and reproducing -kernel techniques, the book then covers representations of backward-shift-invariant subspaces in the Hardy space as ranges of observability operators, and representations for forward-shift-invariant subspaces via a Beurling-Lax representer equal to the transfer function of the linear system. This pair of backward-shift-invariant and forward-shift-invariant subspacesubspaces form a generalized orthogonal decomposition of the ambient Hardy space. All this leads to the de Branges-Rovnyak model theory and characteristic operator function for a Hilbert -space contraction operator. The chapters that follow generalize the system theory and reproducing -kernel techniques to enable an extension of the ideas above to weighted Bergman -space multivariable settings"-- |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Hardy spaces. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Functions of complex variables. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
MATHEMATICS / Algebra / Abstract |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Bolotnikov, Vladimir |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
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| Display text |
Online version: |
| Main entry heading |
Ball, Joseph A., 1947- |
| Title |
Noncommutative function-theoretic operator theory and applications |
| Edition |
1. |
| Place, publisher, and date of publication |
New York : Cambridge University Press, 2021 |
| International Standard Book Number |
9781009004305 |
| Record control number |
(DLC) 2021024661 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Books |
