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## Details

Genre/Form: | Electronic books Lehrbuch |
---|---|

Additional Physical Format: | Print version: Graf, Urs, 1943- Introduction to hyperfunctions and their integral transforms. Basel : Birkhäuser, ©2010 (DLC) 2010921343 (OCoLC)471801915 |

Material Type: | Document, Internet resource |

Document Type: | Internet Resource, Computer File |

All Authors / Contributors: |
Urs Graf |

ISBN: | 9783034604086 3034604084 9783034604079 3034604076 |

OCLC Number: | 697159937 |

Description: | 1 online resource (xi, 415 pages) : illustrations |

Contents: | Preface -- 1 Introduction to Hyperfunctions -- 2 Analytic Properties -- 3 Laplace Transforms -- 4 Fourier Transforms -- 5 Hilbert Transforms -- 6 Mellin Transforms -- 7 Hankel Transforms -- A Complements -- B Tables -- List of Symbols -- Bibliography. Index. |

Responsibility: | Urs Graf. |

### Abstract:

## Reviews

*Editorial reviews*

Publisher Synopsis

From the reviews: "The intended audience of the book is advanced undergraduate students, graduate students, and research professionals in mathematical sciences. The book can serve as a research reference or a supplement to courses or seminars. ... this book provides an excellent presentation of integral transforms of hyperfunctions with examples of applications to integral equations and ordinary and partial differential equations. ... would be successful as a senior undergraduate- or graduate-level text in mathematics, physics, and engineering, as well as a research reference for professionals in those fields." (Lokenath Debnath, SIAM Review, Vol. 53 (1), 2011) "This is an introductory and elementary textbook about Sato's hyperfunctions in one variable and some of their integral transforms. ... mainly addressed to applied mathematicians, physicists and engineers, it may also be useful for pure mathematicians seeking a first encounter with Sato's beautiful conception of generalized functions. ... The only prerequisites for the reader are elementary notions from complex function theory of one variable and some familiarity with the classical Laplace transform. This makes the material of the book accessible even to undergraduate students." (Jasson Vindas, Mathematical Reviews, Issue 2012 a) "This monograph aims at introducing the theory of hyperfunctions and some of their integral transforms to a wide range of readers, since the author recognized that the noble idea of hyperfunction was known to only few mathematicians." (Dohan Kim, Zentralblatt MATH, Vol. 1201, 2011) Read more...

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