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Author: N. Dinculeanu
Publisher: Springer Science & Business Media
ISBN: 9789028604537
Category : Mathematics
Languages : en
Pages : 654
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Book Description
Author: N. Dinculeanu
Publisher: Springer Science & Business Media
ISBN: 9789028604537
Category : Mathematics
Languages : en
Pages : 654
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Book Description
Author: Paul Malliavin
Publisher: Springer Science & Business Media
ISBN: 1461242029
Category : Mathematics
Languages : en
Pages : 341
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Book Description
An introduction to analysis with the right mix of abstract theories and concrete problems. Starting with general measure theory, the book goes on to treat Borel and Radon measures and introduces the reader to Fourier analysis in Euclidean spaces with a treatment of Sobolev spaces, distributions, and the corresponding Fourier analysis. 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 gives a taste of the fact that analysis is not a collection of independent theories, but can be treated as a whole.
Author: Karel Albertus Post
Publisher:
ISBN:
Category : Distribution modulo one
Languages : en
Pages : 98
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Book Description
Author: Paul R. Chernoff
Publisher:
ISBN:
Category : Functional analysis
Languages : en
Pages : 182
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Book Description
Author: Nicolas Monod
Publisher: Springer
ISBN: 3540449620
Category : Mathematics
Languages : en
Pages : 220
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Book Description
Recent research has repeatedly led to connections between important rigidity questions and bounded cohomology. However, the latter has remained by and large intractable. This monograph introduces the functorial study of the continuous bounded cohomology for topological groups, with coefficients in Banach modules. The powerful techniques of this more general theory have successfully solved a number of the original problems in bounded cohomology. As applications, one obtains, in particular, rigidity results for actions on the circle, for representations on complex hyperbolic spaces and on Teichmüller spaces. A special effort has been made to provide detailed proofs or references in quite some generality.
Author: A Edalat
Publisher: World Scientific
ISBN: 1783263547
Category : Computer science
Languages : en
Pages : 340
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Book Description
This volume contains the proceedings of the third workshop of the Theory and Formal Methods Section of the Department of Computing, Imperial College, London. It covers various topics in theoretical computer science. Formal specification, theorem proving, operational and denotational semantics, real number computation, computational measure theory, and neural networks are all represented. Contents:A Smooth Approximation on the Edge of Chaos (P J Potts)Gamma and the Logic of Transition Traces (S J Gay & C L Hankin)The Generalized Riemann Integral on Locally Compact Spaces (A Edalat & S Negri)Specifications as Spans of Geometric Morphisms (T Plewe)A Semantic View on Distributed Computability and Complexity (E Goubault)Process Algebra for Object-Oriented Specification (S J Liebert)Type Inference for a Typed Process Calculus (R Harmer)On an Algebraic Flavoring of the Logical Approach (T Dimitrakos)Extending B AMN with Concurrency (K Lano et al.)Full Abstraction by Translation (G McCusker)Syntactic Continuity from Structural Operational Semantics (D Sands)Ordered SOS Rules and Weak Bisimulation (I Phillips & I Ulidowksi)and other papers Readership: Graduate students and researchers in computer science.
Author: I.E. Segal
Publisher: Springer Science & Business Media
ISBN: 3642666930
Category : Mathematics
Languages : en
Pages : 387
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Book Description
TO THE SECOND EDITION Since publication of the First Edition several excellent treatments of advanced topics in analysis have appeared. However, the concentration and penetration of these treatises naturally require much in the way of technical preliminaries and new terminology and notation. There consequently remains a need for an introduction to some of these topics which would mesh with the material of the First Edition. Such an introduction could serve to exemplify the material further, while using it to shorten and simplify its presentation. It seemed particularly important as well as practical to treat briefly but cogently some of the central parts of operator algebra and higher operator theory, as these are presently represented in book form only with a degree of specialization rather beyond the immediate needs or interests of many readers. Semigroup and perturbation theory provide connections with the theory of partial differential equations. C*-algebras are important in har monic analysis and the mathematical foundations of quantum mechanics. W*-algebras (or von Neumann rings) provide an approach to the theory of multiplicity of the spectrum and some simple but key elements of the gram mar of analysis, of use in group representation theory and elsewhere. The v vi Preface to the Second Edition theory of the trace for operators on Hilbert space is both important in itself and a natural extension of earlier integration-theoretic ideas.
Author: Leon Ehrenpreis
Publisher: American Mathematical Soc.
ISBN: 0821812211
Category : Compact spaces
Languages : en
Pages : 86
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Book Description
The theory of distributions of Laurent Schwartz may be regarded as a study of the operators [partial symbol]/[partial symbol]x[subscript]i on Euclidean space. In the present paper we should like to shoe in what manner the methods of Schwartz can be extended to a much more general class of functional operators, which act on functions defined on a locally compact space R which is denumerable at infinity.
Author: N. Bourbaki
Publisher: Springer Science & Business Media
ISBN: 3642593127
Category : Mathematics
Languages : en
Pages : 487
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Book Description
This is the sixth and last of the books that form the core of the Bourbaki series, comprising chapters 1-6 in English translation. One striking feature is its exposition of abstract harmonic analysis and the structure of locally compact Abelian groups. This English edition corrects misprints, updates references, and revises the definition of the concept of measurable equivalence relations.
Author: M.M. Rao
Publisher: CRC Press
ISBN: 1351991485
Category : Mathematics
Languages : en
Pages : 388
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Book Description
Significantly revised and expanded, this authoritative reference/text comprehensively describes concepts in measure theory, classical integration, and generalized Riemann integration of both scalar and vector types-providing a complete and detailed review of every aspect of measure and integration theory using valuable examples, exercises, and applications. With more than 170 references for further investigation of the subject, this Second Edition provides more than 60 pages of new information, as well as a new chapter on nonabsolute integrals contains extended discussions on the four basic results of Banach spaces presents an in-depth analysis of the classical integrations with many applications, including integration of nonmeasurable functions, Lebesgue spaces, and their properties details the basic properties and extensions of the Lebesgue-Carathéodory measure theory, as well as the structure and convergence of real measurable functions covers the Stone isomorphism theorem, the lifting theorem, the Daniell method of integration, and capacity theory Measure Theory and Integration, Second Edition is a valuable reference for all pure and applied mathematicians, statisticians, and mathematical analysts, and an outstanding text for all graduate students in these disciplines.
