Volterra Functions

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Airy Functions And Applications To Physics 2nd Edition
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Author :
language : en
Publisher: World Scientific
Release Date : 2010
Airy Functions And Applications To Physics 2nd Edition written by and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Airy functions categories.
"Addressed mainly to physicist and chemical physicist, this textbook is the result of a broad compilation of current knowledge on analytical properties of Airy functions. In particular, the calculus implying the Airy functions is developed with care. In the latter chapters, examples are given to succinctly illustrate the use of Airy functions in classical and quantum physics. The physicist, for instance in fluid mechanics, can find what he is looking for, in the references for works of molecular physics or in physics of surfaces, and vice versa."--Publisher's website
Volterra Functions
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Author : Alexander Apelblat
language : en
Publisher:
Release Date : 2008
Volterra Functions written by Alexander Apelblat and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Integral transforms categories.
This book will serve as a reference book that contains a comprehensive list of formulas for the first time, tables of the Volterra functions. It also includes critically evaluated older material on the functions, but many new results that were obtained by the author. These results include: the behaviour of the Volterra Functions as a function of parameters, the integral representations of the functions, many new Laplace and other-one-dimensional and two-dimensional integral transforms, integrals and series as well as extensive numerical computations that are presented in graphical and tabular forms.
Functions Of Bounded Variation
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Author : Simon Reinwand
language : en
Publisher: Cuvillier Verlag
Release Date : 2021-04-15
Functions Of Bounded Variation written by Simon Reinwand and has been published by Cuvillier Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-15 with Mathematics categories.
Functions of bounded variation are most important in many fields of mathe¬matics. This thesis investigates spaces of functions of bounded variation with one variable of various types, compares them to other classical function spaces and reveals natural “habitats” of BV-functions. New and almost comprehensive results concerning mapping properties like surjectivity and injectivity, several kinds of continuity and compactness of both linear and nonlinear operators bet¬ween such spaces are given. A new theory about different types of convergence of sequences of such operators is presented in full detail and applied to a new proof for the continuity of the composition operator in the classical BV-space. The abstract results serve as ingredients to solve Hammerstein and Volterra in¬tegral equations using fixed point theory. Many criteria guaranteeing the exis¬tence and uniqueness of solutions in BV-type spaces are given and later applied to solve boundary and initial value problems in a nonclassical setting. A big emphasis is put on a clear and detailed discussion. Many pictures and syn¬optic tables help to visualize and summarize the most important ideas. Over 160 examples and counterexamples illustrate the many abstract results and how de¬licate some of them are.
Frequency Domain Analysis And Design Of Nonlinear Systems Based On Volterra Series Expansion
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Author : Xingjian Jing
language : en
Publisher: Springer
Release Date : 2015-02-17
Frequency Domain Analysis And Design Of Nonlinear Systems Based On Volterra Series Expansion written by Xingjian Jing and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-02-17 with Technology & Engineering categories.
This book is a systematic summary of some new advances in the area of nonlinear analysis and design in the frequency domain, focusing on the application oriented theory and methods based on the GFRF concept, which is mainly done by the author in the past 8 years. The main results are formulated uniformly with a parametric characteristic approach, which provides a convenient and novel insight into nonlinear influence on system output response in terms of characteristic parameters and thus facilitate nonlinear analysis and design in the frequency domain. The book starts with a brief introduction to the background of nonlinear analysis in the frequency domain, followed by recursive algorithms for computation of GFRFs for different parametric models, and nonlinear output frequency properties. Thereafter the parametric characteristic analysis method is introduced, which leads to the new understanding and formulation of the GFRFs, and nonlinear characteristic output spectrum (nCOS) and the nCOS based analysis and design method. Based on the parametric characteristic approach, nonlinear influence in the frequency domain can be investigated with a novel insight, i.e., alternating series, which is followed by some application results in vibration control. Magnitude bounds of frequency response functions of nonlinear systems can also be studied with a parametric characteristic approach, which result in novel parametric convergence criteria for any given parametric nonlinear model whose input-output relationship allows a convergent Volterra series expansion. This book targets those readers who are working in the areas related to nonlinear analysis and design, nonlinear signal processing, nonlinear system identification, nonlinear vibration control, and so on. It particularly serves as a good reference for those who are studying frequency domain methods for nonlinear systems.
Handbook Of Integral Equations
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Author : Andrei D. Polyanin
language : en
Publisher: CRC Press
Release Date : 2008-02-12
Handbook Of Integral Equations written by Andrei D. Polyanin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-02-12 with Mathematics categories.
Unparalleled in scope compared to the literature currently available, the Handbook of Integral Equations, Second Edition contains over 2,500 integral equations with solutions as well as analytical and numerical methods for solving linear and nonlinear equations. It explores Volterra, Fredholm, WienerHopf, Hammerstein, Uryson, and other equa
Nonlinear Vision Determination Of Neural Receptive Fields Function And Networks
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Author : Robert B. Pinter
language : en
Publisher: CRC Press
Release Date : 2018-05-04
Nonlinear Vision Determination Of Neural Receptive Fields Function And Networks written by Robert B. Pinter and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-04 with Technology & Engineering categories.
This text brings to vision research a treatment different from that often found in books on the subject in its emphasis on nonlinear aspects of vision, from human perception to eye cells of the fly. There is considerable emphasis on mathematics, which forms not only models but the algorithms for processing data.
A Generalization Of Volterra S Derivative Of A Function Of A Curve
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Author : Charles Albert Fischer
language : en
Publisher:
Release Date : 1913
A Generalization Of Volterra S Derivative Of A Function Of A Curve written by Charles Albert Fischer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1913 with Calculus of variations categories.
Integral Dynamical Models Singularities Signals And Control
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Author : Denis Sidorov
language : en
Publisher: World Scientific
Release Date : 2014-09-05
Integral Dynamical Models Singularities Signals And Control written by Denis Sidorov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-05 with Science categories.
This volume provides a broad introduction to nonlinear integral dynamical models and new classes of evolutionary integral equations. It may be used as an advanced textbook by postgraduate students to study integral dynamical models and their applications in machine learning, electrical and electronic engineering, operations research and image analysis.
Scenes From The History Of Real Functions
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Author : F.A. Medvedev
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Scenes From The History Of Real Functions written by F.A. Medvedev and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
To attempt to compile a relatively complete bibliography of the theory of functions of a real variable with the requisite bibliographical data, to enumer ate the names of the mathematicians who have studied this subject, exhibit their fundamental results, and also include the most essential biographical data about them, to conduct an inventory of the concepts and methods that have been and continue to be applied in the theory of functions of a real variable ... in short, to carry out anyone of these projects with appropriate completeness would require a separate book involving a corresponding amount of work. For that reason the word essays occurs in the title of the present work, allowing some freedom in the selection of material. In justification of this selection, it is reasonable to try to characterize to some degree the subject to whose history these essays are devoted. The truth of the matter is that this is a hopeless enterprise if one requires such a characterization to be exhaustively complete and concise. No living subject can be given a final definition without provoking some objections, usually serious ones. But if we make no such claims, a characterization is possible; and if the first essay of the present book appears unconvincing to anyone, the reason is the personal fault of the author, and not the objective necessity of the attempt.
Triangular And Jordan Representations Of Linear Operators
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Author : M. S. Brodskii
language : en
Publisher: American Mathematical Soc.
Release Date : 1971
Triangular And Jordan Representations Of Linear Operators written by M. S. Brodskii 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 1971 with Mathematics categories.
Determining the invariant subspaces of any given transformation and writing the transformation as an integral in terms of invariant subspaces is a fundamental problem. This book presents the foundations of the theory of triangular and Jordan representations of bounded linear operators in Hilbert space and solves the problem in the case of completely continuous transformations. The reader is assumed to know the basics of linear operator theory.