Concrete Functional Calculus (Springer Monographs in Mathematics) - Tapa dura

Libro 75 de 184: Springer Monographs in Mathematics

Dudley, R. M.; Norvaiša, R.

 
9781441969491: Concrete Functional Calculus (Springer Monographs in Mathematics)
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ISBN 10: 1441969497 ISBN 13: 9781441969491
Editorial: Springer, 2010

Sinopsis

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. In this book existence and uniqueness of solutions are proved under suitable assumptions for nonlinear integral equations with respect to possibly discontinuous functions having unbounded variation. Key features and topics: Extensive usage of p-variation of functions, and 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.

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Acerca del 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".

De la contraportada

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 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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2010
Idioma
Inglés
ISBN 10 
1441969497
ISBN 13 
9781441969491
Encuadernación
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Número de páginas
684
Contacto del fabricante
no disponible
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Otras ediciones populares con el mismo título

9781461427407: Concrete Functional Calculus (Springer Monographs in Mathematics)

Edición Destacada

ISBN 10:  1461427401 ISBN 13:  9781461427407
Editorial: Springer, 2012
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