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eBook Fractional Cauchy Transforms (Monographs and Surveys in Pure and Applied Mathematics) ePub

eBook Fractional Cauchy Transforms (Monographs and Surveys in Pure and Applied Mathematics) ePub

by Thomas H. MacGregor,Rita A. Hibschweiler

  • ISBN: 1584885602
  • Category: Mathematics
  • Subcategory: Math Science
  • Author: Thomas H. MacGregor,Rita A. Hibschweiler
  • Language: English
  • Publisher: Chapman and Hall/CRC; 1 edition (November 1, 2005)
  • Pages: 272
  • ePub book: 1536 kb
  • Fb2 book: 1626 kb
  • Other: txt rtf lrf doc
  • Rating: 4.4
  • Votes: 640

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by. Rita A. Hibschweiler (Author). Find all the books, read about the author, and more. Are you an author? Learn about Author Central. Hibschweiler (Author), Thomas H. MacGregor (Author). ISBN-13: 978-1584885603.

By Rita A. Hibschweiler, Thomas H. MacGregor. Self-contained, it includes introductory material and classical results, such as those associate. ardback – 2005-11-01 Chapman and Hall/CRC Monographs and Surveys in Pure and Applied Mathematics. An Elementary Approach to Homological Algebra.

In the 1950-th J. Mikusinski proposed a approach to the operational calculus of the operator of differentiation which is based on interpretation.

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Rita A. MacGregor November 01, 2005.

Fractional Cauchy transforms form a family of integral transformations . chapman & hall/crc, boca raton: monographs and surveys in pure and applied mathematics, vol. 136. Published: 2005.

Fractional Cauchy transforms form a family of integral transformations depending on a parameter α generalizing the classical Cauchy transform. The concept was introduced by V. P. Havin in the 1960’s. The formula reduces to the well known Cauchy formula for α 1. The present book studies the class Fα from several perspectives. Though the exposition is to a large extent self-contained, the book is clearly aimed at specialists; good knowledge of complex and functional analysis is required for reading.

Mathematical Surveys and Monographs is a series of monographs published by the American Mathematical Society. Each volume in the series gives a survey of the subject along with a brief introduction to recent developments and unsolved problems

Mathematical Surveys and Monographs is a series of monographs published by the American Mathematical Society. Each volume in the series gives a survey of the subject along with a brief introduction to recent developments and unsolved problems. The series has been known as Mathematical Surveys and Monographs since 1984. Its ISSN is 0885-4653. The series was founded in 1943 as 'Mathematical Surveys'. Mathematical Surveys and Monographs.

Get a full overview of International Series in Pure and Applied Mathematics Book Series. Operational Calculus. Most recent Volume: Operational Calculus. Operational Calculus, Volume II is a methodical presentation of operational calculus. An outline of the general theory of linear differential equations with constant coefficients is presented. This monograph will be useful to engineers, who regard the operational calculus merely as a tool in their work, and readers who are interested in proofs of theorems and mathematical problems.

Items related to Fractional Integrals and Potentials (Monographs an. .This volume presents recent developments in the fractional calculus of functions of one and several real variables, and shows the relation of this field to a variety of areas in pure and applied mathematics. Beyond some basic properties of fractional integrals in one and many dimensions, it contains a mathematical theory of certain important weakly singular integral equations of the first kind arising in mechanics, diffraction theory and other areas of mathematical physics.

Abstract Cauchy Problems book. Goodreads helps you keep track of books you want to read. Start by marking Abstract Cauchy Problems: Three Approaches. Chapman and Hall/CRC Monographs and Surveys in Pure and Applied Mathematics 120. as Want to Read: Want to Read savin. ant to Read.

Presenting new results along with research spanning five decades, Fractional Cauchy Transforms provides a full treatment of the topic, from its roots in classical complex analysis to its current state. Self-contained, it includes introductory material and classical results, such as those associated with complex-valued measures on the unit circle, that form the basis of the developments that follow. The authors focus on concrete analytic questions, with functional analysis providing the general framework. After examining basic properties, the authors study integral means and relationships between the fractional Cauchy transforms and the Hardy and Dirichlet spaces. They then study radial and nontangential limits, followed by chapters devoted to multipliers, composition operators, and univalent functions. The final chapter gives an analytic characterization of the family of Cauchy transforms when considered as functions defined in the complement of the unit circle.About the authors:Rita A. Hibschweiler is a Professor in the Department of Mathematics and Statistics at the University of New Hampshire, Durham, USA.Thomas H. MacGregor is Professor Emeritus, State University of New York at Albany and a Research Associate at Bowdoin College, Brunswick, Maine, USA.