Operator analysis : hilbert space methods in complex analysis

By:

Agler, Jim

Contributor(s):

Material type: Text

9781108485449

Subject(s):

Additional physical formats: Online version:: Operator analysis.DDC classification:

515.724 23 AGL-O

LOC classification:

QA329 .A384 2019

Contents:

1. The origins of operator-theoretic approaches to function theory

2. Operator analysis on D : model formulas, lurking isometries, and positivity arguments

3. Further development of models on the disc

4. Operator analysis on D²

5. Carathéodory-Julia theory on the disc and the bidisc

Summary: "The philosophy of this book is that Hilbert space geometry binds function theory and operator theory together, not only allowing each to aid the other, but creating a rich structure that can be used to discover new phenomena. There is a "three-way street" between operator theory and function theory: sometimes one uses function theory to prove operator theorems, sometimes one uses operator theory to prove function theorems, and sometimes the theories are so interwoven that one cannot even state the theorem without using the language of both operator theory and function theory"--

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Holdings
Item type	Current library	Collection	Call number	Status	Date due	Barcode	Item holds
Books	IIITD Reference	Mathematics	REF 515.724 AGL-O (Browse shelf(Opens below))	Not for loan		013806

Total holds: 0

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Previous	REF 515.722 CAN-S Spectral methods :	REF 515.723 DEB-I Integral transforms and their applications	REF 515.723 SHU-E Efficient algorithms for discrete wavelet transform.	REF 515.724 AGL-O Operator analysis : hilbert space methods in complex analysis	REF 515.7248 BAN-A Advances in nonlinear analysis via the concept of measure of noncompactness	REF 515.73 PAU-I An introduction to the theory of reproducing kernel hilbert spaces	REF 515.785 KRA-H Harmonic and complex analysis in several variables	Next

Includes bibliographical references and index.

1. The origins of operator-theoretic approaches to function theory

2. Operator analysis on D : model formulas, lurking isometries, and positivity arguments

3. Further development of models on the disc

4. Operator analysis on D²

5. Carathéodory-Julia theory on the disc and the bidisc

"The philosophy of this book is that Hilbert space geometry binds function theory and operator theory together, not only allowing each to aid the other, but creating a rich structure that can be used to discover new phenomena. There is a "three-way street" between operator theory and function theory: sometimes one uses function theory to prove operator theorems, sometimes one uses operator theory to prove function theorems, and sometimes the theories are so interwoven that one cannot even state the theorem without using the language of both operator theory and function theory"--

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