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Hilbert Spaces With Applications

Author: Lokenath Debnath
Publisher: Academic Press
ISBN: 0122084381
Size: 75.71 MB
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Building on the success of the two previous editions, Introduction to Hilbert Spaces with Applications, Third Edition, offers an overview of the basic ideas and results of Hilbert space theory and functional analysis. It acquaints students with the Lebesgue integral, and includes an enhanced presentation of results and proofs. Students and researchers will benefit from the wealth of revised examples in new, diverse applications as they apply to optimization, variational and control problems, and problems in approximation theory, nonlinear instability, and bifurcation. The text also includes a popular chapter on wavelets that has been completely updated. Students and researchers agree that this is the definitive text on Hilbert Space theory. Updated chapter on wavelets Improved presentation on results and proof Revised examples and updated applications Completely updated list of references

Introduction To Hilbert Spaces With Applications

Author: Lokenath Debnath
Publisher: Elsevier
ISBN: 0080455921
Size: 40.36 MB
Format: PDF, ePub, Mobi
View: 282
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Building on the success of the two previous editions, Introduction to Hilbert Spaces with Applications, Third Edition, offers an overview of the basic ideas and results of Hilbert space theory and functional analysis. It acquaints students with the Lebesgue integral, and includes an enhanced presentation of results and proofs. Students and researchers will benefit from the wealth of revised examples in new, diverse applications as they apply to optimization, variational and control problems, and problems in approximation theory, nonlinear instability, and bifurcation. The text also includes a popular chapter on wavelets that has been completely updated. Students and researchers agree that this is the definitive text on Hilbert Space theory. Updated chapter on wavelets Improved presentation on results and proof Revised examples and updated applications Completely updated list of references

An Introduction To Hilbert Space

Author: N. Young
Publisher: Cambridge University Press
ISBN: 9780521337175
Size: 25.72 MB
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This textbook is an introduction to the theory of Hilbert spaces and its applications. The notion of a Hilbert space is a central idea in functional analysis and can be used in numerous branches of pure and applied mathematics. Dr. Young stresses these applications particularly for the solution of partial differential equations in mathematical physics and to the approximation of functions in complex analysis. Some basic familiarity with real analysis, linear algebra and metric spaces is assumed, but otherwise the book is self-contained. The book is based on courses given at the University of Glasgow and contains numerous examples and exercises (many with solutions). The book will make an excellent first course in Hilbert space theory at either undergraduate or graduate level and will also be of interest to electrical engineers and physicists, particularly those involved in control theory and filter design.

Lineare Operatoren In Hilbertr Umen

Author: Joachim Weidmann
Publisher: Springer-Verlag
ISBN: 9783322800947
Size: 57.23 MB
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Behandelt werden die Grundlagen der Theorie zum Thema Lineare Operatoren in Hilberträumen, wie sie üblicherweise in Standardvorlesungen für Mathematiker und Physiker vorgestellt werden.

Hilbert Space Methods In Signal Processing

Author: Rodney A. Kennedy
Publisher: Cambridge University Press
ISBN: 1107010039
Size: 55.85 MB
Format: PDF, ePub, Docs
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An accessible introduction to Hilbert spaces, combining the theory with applications of Hilbert methods in signal processing.

Functional Analysis

Author: Joseph Muscat
Publisher: Springer
ISBN: 3319067281
Size: 36.62 MB
Format: PDF
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This textbook is an introduction to functional analysis suited to final year undergraduates or beginning graduates. Its various applications of Hilbert spaces, including least squares approximation, inverse problems, and Tikhonov regularization, should appeal not only to mathematicians interested in applications, but also to researchers in related fields. Functional Analysis adopts a self-contained approach to Banach spaces and operator theory that covers the main topics, based upon the classical sequence and function spaces and their operators. It assumes only a minimum of knowledge in elementary linear algebra and real analysis; the latter is redone in the light of metric spaces. It contains more than a thousand worked examples and exercises, which make up the main body of the book.

An Introduction To Functional Analysis

Author: Charles Swartz
Publisher: CRC Press
ISBN: 9780824786434
Size: 69.76 MB
Format: PDF, Kindle
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Based on an introductory, graduate-level course given by Swartz at New Mexico State U., this textbook, written for students with a moderate knowledge of point set topology and integration theory, explains the principles and theories of functional analysis and their applications, showing the interpla

Some Notes On The Theory Of Hilbert Spaces Of Analytic Functions Of The Unit Disc

Author: Jorge-Nuno O. Silva
Publisher: Universal-Publishers
ISBN: 9781581120233
Size: 56.19 MB
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In this work we explore the relation between some local Dirichlet spaces and some operator ranges. As an application we give numerical bounds for an equivalence of norms on a particular subspace of the Hardy space.Based on these results we introduce an operator on H^2 which we study in some detail. We also introduce a Hilbert space of analytic functions on the unit disc, prove the polynomials are dense in it, and give a characterization of its elements. On these spaces we study the action of composition operators induced by holomorphic self maps of the disc. We give characterizations of the bounded and compact ones in terms of the behavior of the inducing maps.

Applied Analysis By The Hilbert Space Method

Author: Samuel S. Holland
Publisher: Courier Corporation
ISBN: 0486139298
Size: 45.55 MB
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Numerous worked examples and exercises highlight this unified treatment. Simple explanations of difficult subjects make it accessible to undergraduates as well as an ideal self-study guide. 1990 edition.