000			02013nam a22003617a 4500
003			IIITD
005			20260226132900.0
008			260222b |||||||| |||| 00| 0 eng d
020			_a9781108485449
040			_aIIITD
050	0	0	_aQA329 _b.A384 2019
082	0	0	_a515.724 _223 _bAGL-O
100	1		_aAgler, Jim
245	1	0	_aOperator analysis : _bhilbert space methods in complex analysis _cby Jim Agler, John E. McCarthy and Nicholas Young
260			_aNew York : _bCambridge University Press, _c©2020
300			_axv, 375p.; _c25 cm.
490			_aCambridge tracts in mathematics _v219
504			_aIncludes bibliographical references and index.
505	0		_t1. The origins of operator-theoretic approaches to function theory
505	0		_t2. Operator analysis on D : model formulas, lurking isometries, and positivity arguments
505	0		_t3. Further development of models on the disc
505	0		_t4. Operator analysis on D²
505	0		_t5. Carathéodory-Julia theory on the disc and the bidisc
520			_a"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"--
650		0	_aOperator theory.
650		0	_aHolomorphic functions.
650		0	_aGeometric function theory.
650		0	_aHilbert space.
700	1		_aMcCarthy, John E.
700	1		_aYoung, Nicholas
776	0	8	_iOnline version: _aAgler, Jim. _tOperator analysis. _d[New York, New York] : Cambridge University Press, [2019] _z9781108751292 _w(DLC) 2019042575
942			_2ddc _cBK
999			_c209707 _d209707