000 | 03028nam a22004935i 4500 | ||
---|---|---|---|
001 | u371786 | ||
003 | SIRSI | ||
005 | 20160812080147.0 | ||
007 | cr nn 008mamaa | ||
008 | 101109s2011 xxu| s |||| 0|eng d | ||
020 |
_a9781441969507 _9978-1-4419-6950-7 |
||
040 | _cMX-MeUAM | ||
050 | 4 | _aQA319-329.9 | |
082 | 0 | 4 |
_a515.7 _223 |
100 | 1 |
_aDudley, R. M. _eauthor. |
|
245 | 1 | 0 |
_aConcrete Functional Calculus _h[recurso electrónico] / _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 |
_zLibro electrónico _uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-1-4419-6950-7 |
596 | _a19 | ||
942 | _cLIBRO_ELEC | ||
999 |
_c199666 _d199666 |