Vector Space Measures and Applications II PDF Download
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Author: R.M. Aron
Publisher: Springer
ISBN: 3540359036
Category : Mathematics
Languages : en
Pages : 230
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Book Description
Author: R.M. Aron
Publisher: Springer
ISBN: 3540359036
Category : Mathematics
Languages : en
Pages : 230
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Book Description
Author: R.M. Aron
Publisher: Springer
ISBN: 3540359060
Category : Mathematics
Languages : en
Pages : 463
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Book Description
Author: V.I. Bogachev
Publisher: Springer
ISBN: 3319571176
Category : Mathematics
Languages : en
Pages : 466
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Book Description
This book gives a compact exposition of the fundamentals of the theory of locally convex topological vector spaces. Furthermore it contains a survey of the most important results of a more subtle nature, which cannot be regarded as basic, but knowledge which is useful for understanding applications. Finally, the book explores some of such applications connected with differential calculus and measure theory in infinite-dimensional spaces. These applications are a central aspect of the book, which is why it is different from the wide range of existing texts on topological vector spaces. Overall, this book develops differential and integral calculus on infinite-dimensional locally convex spaces by using methods and techniques of the theory of locally convex spaces. The target readership includes mathematicians and physicists whose research is related to infinite-dimensional analysis.
Author: Nasir Uddin Ahmed
Publisher: World Scientific
ISBN: 9814366374
Category : Mathematics
Languages : en
Pages : 314
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Book Description
This invaluable research monograph presents a unified and fascinating theory of generalized functionals of Brownian motion and other fundamental processes such as fractional Brownian motion and Levy process OCo covering the classical WienerOCoIto class including the generalized functionals of Hida as special cases, among others. It presents a thorough and comprehensive treatment of the WienerOCoSobolev spaces and their duals, as well as Malliavin calculus with their applications. The presentation is lucid and logical, and is based on a solid foundation of analysis and topology. The monograph develops the notions of compactness and weak compactness on these abstract Fock spaces and their duals, clearly demonstrating their nontrivial applications to stochastic differential equations in finite and infinite dimensional Hilbert spaces, optimization and optimal control problems. Readers will find the book an interesting and easy read as materials are presented in a systematic manner with a complete analysis of classical and generalized functionals of scalar Brownian motion, Gaussian random fields and their vector versions in the increasing order of generality. It starts with abstract Fourier analysis on the Wiener measure space where a striking similarity of the celebrated RieszOCoFischer theorem for separable Hilbert spaces and the space of WienerOCoIto functionals is drawn out, thus providing a clear insight into the subject.
Author: A. Weron
Publisher: Springer
ISBN: 3540383506
Category : Mathematics
Languages : en
Pages : 342
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Book Description
Author: E. Pap
Publisher: Elsevier
ISBN: 0080533094
Category : Mathematics
Languages : en
Pages : 1633
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Book Description
The main goal of this Handbook isto survey measure theory with its many different branches and itsrelations with other areas of mathematics. Mostly aggregating many classical branches of measure theory the aim of the Handbook is also to cover new fields, approaches and applications whichsupport the idea of "measure" in a wider sense, e.g. the ninth part of the Handbook. Although chapters are written of surveys in the variousareas they contain many special topics and challengingproblems valuable for experts and rich sources of inspiration.Mathematicians from other areas as well as physicists, computerscientists, engineers and econometrists will find useful results andpowerful methods for their research. The reader may find in theHandbook many close relations to other mathematical areas: realanalysis, probability theory, statistics, ergodic theory,functional analysis, potential theory, topology, set theory,geometry, differential equations, optimization, variationalanalysis, decision making and others. The Handbook is a richsource of relevant references to articles, books and lecturenotes and it contains for the reader's convenience an extensivesubject and author index.
Author: J.M. Bachar
Publisher: Springer
ISBN: 354035557X
Category : Mathematics
Languages : en
Pages : 186
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Book Description
Author: R. D. Bourgin
Publisher: Springer
ISBN: 3540398732
Category : Mathematics
Languages : en
Pages : 485
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Book Description
Author: I. Laine
Publisher: Springer
ISBN: 354034859X
Category : Mathematics
Languages : en
Pages : 469
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Book Description
Romanian Finnish Seminar on Complex Analysis
Author: A. Weron
Publisher: Springer
ISBN: 3540358145
Category : Mathematics
Languages : en
Pages : 274
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Book Description
