000			03050nam a22005055i 4500
001			978-1-4419-6950-7
003			DE-He213
005			20140220083721.0
007			cr nn 008mamaa
008			101109s2011 xxu| s |||| 0|eng d
020			_a9781441969507 _9978-1-4419-6950-7
024	7		_a10.1007/978-1-4419-6950-7 _2doi
050		4	_aQA319-329.9
072		7	_aPBKF _2bicssc
072		7	_aMAT037000 _2bisacsh
082	0	4	_a515.7 _223
100	1		_aDudley, R. M. _eauthor.
245	1	0	_aConcrete Functional Calculus _h[electronic resource] / _cby R. M. Dudley, R. Norvaiša.
264		1	_aNew York, NY : _bSpringer New York, _c2011.
300			_aXII, 671 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aSpringer Monographs in Mathematics, _x1439-7382
505	0		_aPreface -- 1 Introduction and Overview -- 2 Definitions and Basic Properties of Extended Riemann-Stieltjes Integrals -- 3 Phi-variation and p-variation; Inequalities for Integrals -- 4 Banach Algebras -- 5 Derivatives and Analyticity in Normed Spaces -- 6 Nemytskii Operators on Some Function Spaces -- 7 Nemytskii Oerators on Lp Spaces -- 8 Two-Function Composition -- 9 Product Integration -- 10 Nonlinear Differential and Integral Equations -- 11 Fourier Series -- 12 Stochastic Processes and Phi-Variation -- Appendix Nonatomic Measure Spaces -- References -- Subject Index -- Author Index -- Index of Notation.
520			_aConcrete Functional Calculus focuses primarily on differentiability of some nonlinear operators on functions or pairs of functions.  This  includes composition of two functions, and the product integral, taking a matrix- or operator-valued coefficient function into a solution of a system of linear differential equations with the given coefficients.  For nonlinear integral equations with respect to possibly discontinuous functions having unbounded variation, existence and uniqueness of solutions are proved under suitable assumptions. Key features and topics: * Extensive usage of p-variation of functions * Applications to stochastic processes. This work will serve as a thorough reference on its main topics for researchers and graduate students with a background in real analysis and, for Chapter 12, in probability.
650		0	_aMathematics.
650		0	_aFunctional analysis.
650		0	_aIntegral equations.
650		0	_aOperator theory.
650	1	4	_aMathematics.
650	2	4	_aFunctional Analysis.
650	2	4	_aIntegral Equations.
650	2	4	_aOperator Theory.
650	2	4	_aReal Functions.
700	1		_aNorvaiša, R. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781441969491
830		0	_aSpringer Monographs in Mathematics, _x1439-7382
856	4	0	_uhttp://dx.doi.org/10.1007/978-1-4419-6950-7
912			_aZDB-2-SMA
999			_c105661 _d105661