|
![]() |
|||
|
||||
OverviewFull Product DetailsAuthor: Urs GrafPublisher: Birkhauser Verlag AG Imprint: Birkhauser Verlag AG Edition: 2010 ed. Dimensions: Width: 16.50cm , Height: 2.80cm , Length: 23.50cm Weight: 1.021kg ISBN: 9783034604079ISBN 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 ![]() 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 ContentsPreface.- 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.ReviewsFrom 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 InformationTab Content 6Author Website:Countries AvailableAll regions |