Introduction to Hyperfunctions and Their Integral Transforms von Urs Graf | An Applied and Computational Approach | ISBN 9783034604086

Introduction to Hyperfunctions and Their Integral Transforms

An Applied and Computational Approach

von Urs Graf
Buchcover Introduction to Hyperfunctions and Their Integral Transforms | Urs Graf | EAN 9783034604086 | ISBN 3-0346-0408-4 | ISBN 978-3-0346-0408-6

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)

Introduction to Hyperfunctions and Their Integral Transforms

An Applied and Computational Approach

von Urs Graf
Elementary approach to the subject of generalized functions and their integral transforms by an approach based on the theory of functions of one complex variable, in contrast to most other textbooks on the theory of distributions based on functional analysis Readable by a large audience due to the use of basic contour integration in the complex plane Only book that treats Mellin and Hankel transforms Includes supplementary material: sn. pub/extras