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Integration and Probability

Name: Integration and Probability
Brand: Springer-Verlag New York Inc.
SKU: 9780387944098
Price: 87.81 EUR
Availability: InStock

Autor: Paul Malliavin

Jazyk:

Väzba: Pevná

Vydavateľ: Springer-Verlag New York Inc.

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This book is designed to be an introduction to analysis with the proper mix of abstract theories and...

Informácie o knihe

Autor

Paul Malliavin

Jazyk

Angličtina

Väzba

Kniha - Pevná

Vydalo

1995

Stránok

326

EAN

9780387944098

ISBN

0387944095

Enbook ID

05247966

Vydavateľ

Springer-Verlag New York Inc.

Hmotnosť

640

Rozmery

156 x 234 x 24

Kompletný popis

This book is designed to be an introduction to analysis with the proper mix of abstract theories and concrete problems. It starts with general measure theory, treats Borel and Radon measures (with particular attention paid to Lebesgue measure) and introduces the reader to Fourier analysis in Euclidean spaces with a treatment of Sobolev spaces, distributions, and the Fourier analysis of such. It continues with a Hilbertian treatment of the basic laws of probability including Doob's martingale convergence theorem and finishes with Malliavin's "stochastic calculus of variations" developed in the context of Gaussian measure spaces. This invaluable contribution to the existing literature gives the reader a taste of the fact that analysis is not a collection of independent theories but can be treated as a whole.