R. M. Dudley

Concrete Functional Calculus

Ebook (PDF Format)

Concrete 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… Mehr

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Produktdetails

Weitere Autoren: NorvaiSa, R.

ISBN: 978-1-4419-6950-7
EAN: 9781441969507
Produktnummer: 13903138
Verlag: Springer-Verlag GmbH
Sprache: Englisch
Erscheinungsjahr: 2010
Seitenangabe: 671 S.
Plattform: PDF
Masse: 7'691 KB
Auflage: 2011
Abbildungen: 1 schwarz-weiße Tabellen, Bibliographie

Über den Autor

Richard M. Dudley is a professor of mathematics at MIT. He has published over a hundred papers in peer-reviewed journals and two books. He was one of three lecturers in the 1982 St.-Flour Summer School in Probability, published in Springer's Lecture Notes in Mathematics series in 1984.Rimas Norvaisa is a principal researcher at the Institute of Mathematics and Informatics in Lithuania. Dudley and Norvaisa have written one previous book together in 1999 for Springer's Lecture Notes in Mathematics series, entitled Differentiability of Six Operators on Nonsmooth Functions and P-Variation.