Topological And Distributional Aspects Of Integral Transforms

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Topological And Distributional Aspects Of Integral Transforms

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Author : Namdeo Khobragade
language : en
Publisher:
Release Date : 2017-06-27

Topological And Distributional Aspects Of Integral Transforms written by Namdeo Khobragade and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-27 with categories.

Functions On Manifolds Algebraic And Topological Aspects

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Author : Vladimir Vasilʹevich Sharko
language : en
Publisher: American Mathematical Soc.
Release Date : 1993

Functions On Manifolds Algebraic And Topological Aspects written by Vladimir Vasilʹevich Sharko and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.

This monograph covers in a unified manner new results on smooth functions on manifolds. A major topic is Morse and Bott functions with a minimal number of singularities on manifolds of dimension greater than five. Sharko computes obstructions to deformation of one Morse function into another on a simply connected manifold. In addition, a method is developed for constructing minimal chain complexes and homotopical systems in the sense of Whitehead. This leads to conditions under which Morse functions on non-simply-connected manifolds exist. Sharko also describes new homotopical invariants of manifolds, which are used to substantially improve the Morse inequalities. The conditions guaranteeing the existence of minimal round Morse functions are discussed.

Distributional Integral Transforms

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Author : P.K. Banerjee
language : en
Publisher: Scientific Publishers
Release Date : 2005-09-01

Distributional Integral Transforms written by P.K. Banerjee and has been published by Scientific Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-09-01 with Mathematics categories.

The present Learned Research Work is an exhaustive survey and researches carried out by the authors, which led to the theories of distributions, generalized functions and transforms involving them, which includes interesting results and the fundamental concepts of the youngest generalization of Schwartz theory of distributions, the Boehmians. The tempered distribution and utilizations have been described, which provide suitable platforms for the generalizations of Fourier transforms, Stieltjes and Mellin transforms. To overcome the Fourier series this work includes wavelet transform, for which meticulous extensive study of the existing literature has been produced including recent researches carried out by the authors. This compilation, in the form of the present book, is believed to be of help to researchers in the field of distribution and transform analysis and, may even be treated as the reference book to post graduate students.

Indian Science Abstracts

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Author :
language : en
Publisher:
Release Date : 2001-04

Indian Science Abstracts written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-04 with Science categories.

Distribution Integral Transforms And Applications

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Author : W. Kierat
language : en
Publisher: CRC Press
Release Date : 2003-01-16

Distribution Integral Transforms And Applications written by W. Kierat and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-01-16 with Mathematics categories.

The theory of distributions is most often presented as L. Schwartz originally presented it: as a theory of the duality of topological vector spaces. Although this is a sound approach, it can be difficult, demanding deep prior knowledge of functional analysis. The more elementary treatments that are available often consider distributions as limits o

Proceedings Of The Indian Science Congress

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Author : Indian Science Congress Association
language : en
Publisher:
Release Date : 1978

Proceedings Of The Indian Science Congress written by Indian Science Congress Association and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Indian Science Congress categories.

Bibliography Of Doctoral Dissertations

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Author :
language : en
Publisher:
Release Date : 1983

Bibliography Of Doctoral Dissertations written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Dissertations, Academic categories.

The Hilbert Transform Of Schwartz Distributions And Applications

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Author : J. N. Pandey
language : en
Publisher: John Wiley & Sons
Release Date : 2011-10-14

The Hilbert Transform Of Schwartz Distributions And Applications written by J. N. Pandey and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-14 with Mathematics categories.

This book provides a modern and up-to-date treatment of the Hilberttransform of distributions and the space of periodic distributions.Taking a simple and effective approach to a complex subject, thisvolume is a first-rate textbook at the graduate level as well as anextremely useful reference for mathematicians, applied scientists,and engineers. The author, a leading authority in the field, shares with thereader many new results from his exhaustive research on the Hilberttransform of Schwartz distributions. He describes in detail how touse the Hilbert transform to solve theoretical and physicalproblems in a wide range of disciplines; these include aerofoilproblems, dispersion relations, high-energy physics, potentialtheory problems, and others. Innovative at every step, J. N. Pandey provides a new definitionfor the Hilbert transform of periodic functions, which isespecially useful for those working in the area of signalprocessing for computational purposes. This definition could alsoform the basis for a unified theory of the Hilbert transform ofperiodic, as well as nonperiodic, functions. The Hilbert transform and the approximate Hilbert transform ofperiodic functions are worked out in detail for the first time inbook form and can be used to solve Laplace's equation with periodicboundary conditions. Among the many theoretical results proved inthis book is a Paley-Wiener type theorem giving thecharacterization of functions and generalized functions whoseFourier transforms are supported in certain orthants of Rn. Placing a strong emphasis on easy application of theory andtechniques, the book generalizes the Hilbert problem in higherdimensions and solves it in function spaces as well as ingeneralized function spaces. It simplifies the one-dimensionaltransform of distributions; provides solutions to thedistributional Hilbert problems and singular integral equations;and covers the intrinsic definition of the testing function spacesand its topology. The book includes exercises and review material for all majortopics, and incorporates classical and distributional problems intothe main text. Thorough and accessible, it explores new ways to usethis important integral transform, and reinforces its value in bothmathematical research and applied science. The Hilbert transform made accessible with many new formulas anddefinitions Written by today's foremost expert on the Hilbert transform ofgeneralized functions, this combined text and reference covers theHilbert transform of distributions and the space of periodicdistributions. The author provides a consistently accessibletreatment of this advanced-level subject and teaches techniquesthat can be easily applied to theoretical and physical problemsencountered by mathematicians, applied scientists, and graduatestudents in mathematics and engineering. Introducing many new inversion formulas that have been developedand applied by the author and his research associates, the book: * Provides solutions to the distributional Hilbert problem andsingular integral equations * Focuses on the Hilbert transform of Schwartz distributions,giving intrinsic definitions of the space H(D) and its topology * Covers the Paley-Wiener theorem and provides many importanttheoretical results of importance to research mathematicians * Provides the characterization of functions and generalizedfunctions whose Fourier transforms are supported in certainorthants of Rn * Offers a new definition of the Hilbert transform of the periodicfunction that can be used for computational purposes in signalprocessing * Develops the theory of the Hilbert transform of periodicdistributions and the approximate Hilbert transform of periodicdistributions * Provides exercises at the end of each chapter--useful toprofessors in planning assignments, tests, and problems

Technical Abstract Bulletin

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Author :
language : en
Publisher:
Release Date : 1964

Technical Abstract Bulletin written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Science categories.

Integral Transforms And Operational Calculus

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Author : H. M. Srivastava
language : en
Publisher: MDPI
Release Date : 2019-11-20

Integral Transforms And Operational Calculus written by H. M. Srivastava and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-20 with Technology & Engineering categories.

Researches and investigations involving the theory and applications of integral transforms and operational calculus are remarkably wide-spread in many diverse areas of the mathematical, physical, chemical, engineering and statistical sciences. This Special Issue contains a total of 36 carefully-selected and peer-reviewed articles which are authored by established researchers from many countries. Included in this Special Issue are review, expository and original research articles dealing with the recent advances on the topics of integral transforms and operational calculus as well as their multidisciplinary applications