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Introduction to Hyperfunctions and Their Integral Transforms : An Applied and Computational Approach / by Urs Graf

By: Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: SpringerLink BücherPublisher: Basel : Birkhäuser Basel, 2010Description: Online-Ressource (Approx. 430 p, digital)ISBN:
  • 9783034604086
Subject(s): Genre/Form: Additional physical formats: 9783034604079 | Buchausg. u.d.T.: Introduction to hyperfunctions and their integral transforms. Basel : Birkhäuser, 2010. XI, 415 S.MSC: MSC: *46-02 | 44-02 | 46F15 | 46F12RVK: RVK: SK 640 | SK 750LOC classification:
  • QA307 QA432
DOI: DOI: 10.1007/978-3-0346-0408-6Online resources: Summary: to Hyperfunctions -- Analytic Properties -- Laplace Transforms -- Fourier Transforms -- Hilbert Transforms -- Mellin Transforms -- Hankel Transforms.Summary: This textbook presents an elementary introduction to generalized functions by using Sato's approach of hyperfunctions which is based on complex function theory. This very intuitive and appealing approach has particularly great computational power. The concept of hyperfunctions and their analytic properties is introduced and discussed in detail in the first two chapters of the book. Thereafter the focus lies on generalizing the (classical) Laplace, Fourier, Hilbert, Mellin, and Hankel transformations to hyperfunctions. Applications to integral and differential equations and a rich variety of concrete examples accompany the text throughout the book. Requiring only standard knowledge of the theory of complex variables, the material is easily accessible for advanced undergraduate or graduate students. It serves as well as a reference for researchers in pure and applied mathematics, engineering and physics. .PPN: PPN: 1650741863Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS
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