Introduction to Hyperfunctions and Their Integral Transforms: An Applied and Computational Approach

Author:   Urs Graf
Publisher:   Birkhauser Verlag AG
Edition:   2010 ed.
ISBN:  

9783034604079


Pages:   432
Publication Date:   12 March 2010
Format:   Hardback
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Our Price $135.95 Quantity:  
Add to Cart

Share |

Introduction to Hyperfunctions and Their Integral Transforms: An Applied and Computational Approach


Add your own review!

Overview

Full Product Details

Author:   Urs Graf
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
Edition:   2010 ed.
Dimensions:   Width: 16.50cm , Height: 2.80cm , Length: 23.50cm
Weight:   1.021kg
ISBN:  

9783034604079


ISBN 10:   3034604076
Pages:   432
Publication Date:   12 March 2010
Audience:   College/higher education ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of 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.

Reviews

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)


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)


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)


Author Information

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions
Latest Reading Guide

MRG2025CC

 

Shopping Cart
Your cart is empty
Shopping cart
Mailing List