Operational Calculus And Related Topics
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Operational Calculus And Related Topics
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Author : A. P. Prudnikov
language : en
Publisher: CRC Press
Release Date : 2006-08-15
Operational Calculus And Related Topics written by A. P. Prudnikov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-08-15 with Mathematics categories.
Even though the theories of operational calculus and integral transforms are centuries old, these topics are constantly developing, due to their use in the fields of mathematics, physics, and electrical and radio engineering. Operational Calculus and Related Topics highlights the classical methods and applications as well as the recent advan
Feynman S Operational Calculus And Beyond
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Author : Gerald W Johnson
language : en
Publisher: OUP Oxford
Release Date : 2015-08-06
Feynman S Operational Calculus And Beyond written by Gerald W Johnson and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-06 with Science categories.
This book is aimed at providing a coherent, essentially self-contained, rigorous and comprehensive abstract theory of Feynman's operational calculus for noncommuting operators. Although it is inspired by Feynman's original heuristic suggestions and time-ordering rules in his seminal 1951 paper An operator calculus having applications in quantum electrodynamics, as will be made abundantly clear in the introduction (Chapter 1) and elsewhere in the text, the theory developed in this book also goes well beyond them in a number of directions which were not anticipated in Feynman's work. Hence, the second part of the main title of this book. The basic properties of the operational calculus are developed and certain algebraic and analytic properties of the operational calculus are explored. Also, the operational calculus will be seen to possess some pleasant stability properties. Furthermore, an evolution equation and a generalized integral equation obeyed by the operational calculus are discussed and connections with certain analytic Feynman integrals are noted. This volume is essentially self-contained and we only assume that the reader has a reasonable, graduate level, background in analysis, measure theory and functional analysis or operator theory. Much of the necessary remaining background is supplied in the text itself.
Functional Analysis And Related Topics 1991
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Author : Hikosaburo Komatsu
language : en
Publisher: Springer
Release Date : 2006-11-15
Functional Analysis And Related Topics 1991 written by Hikosaburo Komatsu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
In these proceedings of the international conference held in Kyoto in memoryof the late Professor K saku Yosida, twenty six invited speakers display in their many facets of functional analysis and its applications in the research tradition of Yosida's school. Many of the topics are related tolinear and non-linear partial differential equations, including the Schr|dinger equations, the Navier-Stokes equations and quasilinear hyperbolic equations. Several of the papers are survey articles, the others are original (unpublished) and refereed research articles. Also included is a full listing of the publications of K. Yosida. Recommendedto students and research workers looking for a bird's-eye view of current research activity in functional analysis and its applications. FROM THE CONTENTS: K. Ito: Semigroups in probability theory.- T. Kato: Abstract evolution equations, linear and quasilinear, revisited.- J.L. Lions: Remarkson systems with incompletely given initial data and incompletely given part of the boundary.- H. Brezis: New energies for harmonic maps and liquid crystals.- D. Fujiwara: Some Feynman path integrals as oscillatory integrals over a Sobolev manifold.- M. Giga, Y. Giga, H. Sohr: L estimates for the Stokes system.- Y. Kawahigashi: Exactly solvable orbifold models and subfactors.- H. Kitada: Asymptotic completeness of N-body wave operators II. A new proof for the short-range case and the asymptotic clustering for the long-range systems. Y. Kobayashi, S. Oharu: Semigroups oflocally Lipschitzian operators and applications.- H. Komatsu: Operational calculus and semi-groups of operators.
Integral Transformations Operational Calculus And Their Applications
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Author : Hari Mohan Srivastava
language : en
Publisher: MDPI
Release Date : 2021-01-20
Integral Transformations Operational Calculus And Their Applications written by Hari Mohan Srivastava and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-20 with Science categories.
This volume consists of a collection of 14 accepted submissions (including several invited feature articles) to the Special Issue of MDPI's journal Symmetry on the general subject area of integral transformations, operational calculus and their applications from many different parts around the world. The main objective of the Special Issue was to gather review, expository, and original research articles dealing with the state-of-the-art advances in integral transformations and operational calculus as well as their multidisciplinary applications, together with some relevance to the aspect of symmetry. Various families of fractional-order integrals and derivatives have been found to be remarkably important and fruitful, mainly due to their demonstrated applications in numerous diverse and widespread areas of mathematical, physical, chemical, engineering, and statistical sciences. Many of these fractional-order operators provide potentially useful tools for solving ordinary and partial differential equations, as well as integral, differintegral, and integro-differential equations; fractional-calculus analogues and extensions of each of these equations; and various other problems involving special functions of mathematical physics and applied mathematics, as well as their extensions and generalizations in one or more variables.
Ordered Algebraic Structures And Related Topics
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Author : Fabrizio Broglia
language : en
Publisher: American Mathematical Soc.
Release Date : 2017
Ordered Algebraic Structures And Related Topics written by Fabrizio Broglia 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 2017 with Mathematics categories.
Contains the proceedings of the international conference "Ordered Algebraic Structures and Related Topics", held in October 2015, at CIRM, Luminy, Marseilles. Papers cover topics in real analytic geometry, real algebra, and real algebraic geometry including complexity issues, model theory of various algebraic and differential structures, Witt equivalence of fields, and the moment problem.
Canadian Mathematical Bulletin
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Author :
language : en
Publisher:
Release Date :
Canadian Mathematical 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 with categories.
Mittag Leffler Functions Related Topics And Applications
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Author : Rudolf Gorenflo
language : en
Publisher: Springer Nature
Release Date : 2020-10-27
Mittag Leffler Functions Related Topics And Applications written by Rudolf Gorenflo and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-27 with Science categories.
The 2nd edition of this book is essentially an extended version of the 1st and provides a very sound overview of the most important special functions of Fractional Calculus. It has been updated with material from many recent papers and includes several surveys of important results known before the publication of the 1st edition, but not covered there. As a result of researchers’ and scientists’ increasing interest in pure as well as applied mathematics in non-conventional models, particularly those using fractional calculus, Mittag-Leffler functions have caught the interest of the scientific community. Focusing on the theory of Mittag-Leffler functions, this volume offers a self-contained, comprehensive treatment, ranging from rather elementary matters to the latest research results. In addition to the theory the authors devote some sections of the work to applications, treating various situations and processes in viscoelasticity, physics, hydrodynamics, diffusion and wave phenomena, as well as stochastics. In particular, the Mittag-Leffler functions make it possible to describe phenomena in processes that progress or decay too slowly to be represented by classical functions like the exponential function and related special functions. The book is intended for a broad audience, comprising graduate students, university instructors and scientists in the field of pure and applied mathematics, as well as researchers in applied sciences like mathematical physics, theoretical chemistry, bio-mathematics, control theory and several other related areas.
Operrational Calculus
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Author :
language : en
Publisher: CUP Archive
Release Date :
Operrational Calculus written by and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Basic Theory
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Author : Anatoly Kochubei
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2019-02-19
Basic Theory written by Anatoly Kochubei and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-19 with Mathematics categories.
This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This first volume collects authoritative chapters covering the mathematical theory of fractional calculus, including fractional-order operators, integral transforms and equations, special functions, calculus of variations, and probabilistic and other aspects.
Ulam Stability Of Operators
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Author : Janusz Brzdek
language : en
Publisher: Academic Press
Release Date : 2018-01-10
Ulam Stability Of Operators written by Janusz Brzdek and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-10 with Mathematics categories.
Ulam Stability of Operators presents a modern, unified, and systematic approach to the field. Focusing on the stability of functional equations across single variable, difference equations, differential equations, and integral equations, the book collects, compares, unifies, complements, generalizes, and updates key results. Whenever suitable, open problems are stated in corresponding areas. The book is of interest to researchers in operator theory, difference and functional equations and inequalities, differential and integral equations. - Allows readers to establish expert knowledge without extensive study of other books - Presents complex math in simple and clear language - Compares, generalizes and complements key findings - Provides numerous open problems