Pick interpolation and Hilbert function Spaces (Record no. 58965)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02962nam a22003257a 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20220531120903.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 220325b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780821828984 |
| 028 ## - DISTRIBUTOR NAME | |
| Distributor Name | ;Zafaa Books & Distributors |
| Distributor address | :313/56F 49A, Anand Nagar Inderlok Delhi 110035 |
| Bill Number | :ZBD0848 |
| Bill Date | :19/03/2022 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515.733 AGL |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Agler, Jim Agler, Jim; |
| 245 ## - TITLE STATEMENT | |
| Title | Pick interpolation and Hilbert function Spaces |
| Statement of responsibility, etc | / Jim Agler; |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc | Providence, R.I. island |
| Name of publisher, distributor, etc | : American Mathematical Society, |
| Date of publication, distribution, etc | ©2002. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xix, 308 pages |
| Dimensions | 26 cm |
| 365 ## - TRADE PRICE | |
| Price amount | 10840 |
| 490 ## - SERIES STATEMENT | |
| Series statement | Graduate studies in mathematics, v. 44. |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Contents note | Prerequisites and Notation --<br/>Blaschke products --<br/>Pseudo-hyperbolic metric --<br/>Hilbert spaces --<br/>The weak-star topology on B(H) --<br/>Rank one operators --<br/>Analytic functions of several variables --<br/>The Pick problem --<br/>H[superscript [infinity] as an operator algebra --<br/>The operator theory approach to the Pick problem --<br/>The Pick property --<br/>Model theory --<br/>Collections of kernels --<br/>Kernels and Function Spaces --<br/>Hilbert function spaces --<br/>Kernels --<br/>Multipliers --<br/>Tensor products --<br/>Vector-valued Hilbert function spaces --<br/>Rescaling kernels --<br/>Factoring kernels --<br/>Operator-valued kernels --<br/>Historical notes --<br/>Hardy Spaces --<br/>H[superscript p] spaces --<br/>Fatou's theorem --<br/>H[superscript p] spaces again --<br/>H[superscript [infinity] (D) as a multiplier algebra --<br/>Inner functions --<br/>Historical notes --<br/>P[superscript 2] ([mu]) --<br/>Other spaces with H[superscript [infinity] (D) as the multiplier algebra --<br/>Vector-valued P[superscript 2] ([mu]) spaces --<br/>Pick Redux --<br/>Necessity of positivity of the Pick matrix --<br/>The Szego kernel has the Pick property --<br/>The Caratheodory problem --<br/>Uniqueness of the Szego kernel --<br/>Historical notes --<br/>Qualitative Properties of the Solution of the Pick Problem in H[superscript [infinity] (D) --<br/>A formula for the solution --<br/>The realization formula for H[superscript [infinity] (D) --<br/>Another formula for the solution --<br/>The Nevanlinna problem --<br/>Characterizing Kernels with the Complete Pick Property --<br/>Characterization of the complete Pick property --<br/>Another characterization of the complete Pick property. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | Presents the theory of reproducing kernel Hilbert spaces. This work discusses the Pick problem of finding the function of smallest $H^\infty$ norm that has specified values at a finite number of points in the disk. It considers $H^\infty$ as the multiplier algebra of the Hardy space and uses Hilbert space techniques to solve the problem |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematics |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Analysis |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Hilbert space. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Interpolation. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Functions of complex variables. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Espace de Hilbert. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Fonctions d'une variable complexe. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Interpolation |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Agler, Jim; |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | McCarthy, John E. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | Books |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Home library | Current library | Date acquired | Source of acquisition | Cost, normal purchase price | Total Checkouts | Full call number | Barcode | Checked out | Date last seen | Date checked out | Price effective from | Koha item type | Public note |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Dewey Decimal Classification | SNU LIBRARY | SNU LIBRARY | 25/03/2022 | Zafaa Books & Distributors | 10840.00 | 1 | 515.733 AGL | 28554 | 16/10/2022 | 15/09/2022 | 15/09/2022 | 25/03/2022 | Books | Books Shifted to Mathematics Dept (Grant Matrix) |