Check nearby libraries
Buy this book
Generalized functions are now widely recognized as important mathematical tools for engineers and physicists. But they are considered to be inaccessible for non-specialists. To remedy this situation, this book gives an intelligible exposition of generalized functions based on Sato's hyperfunction, which is essentially the `boundary value of analytic functions'. An intuitive image -- hyperfunction = vortex layer -- is adopted, and only an elementary knowledge of complex function theory is assumed. The treatment is entirely self-contained. The first part of the book gives a detailed account of fundamental operations such as the four arithmetical operations applicable to hyperfunctions, namely differentiation, integration, and convolution, as well as Fourier transform. Fourier series are seen to be nothing but periodic hyperfunctions. In the second part, based on the general theory, the Hilbert transform and Poisson-Schwarz integral formula are treated and their application to integral equations is studied. A great number of formulas obtained in the course of treatment are summarized as tables in the appendix. In particular, those concerning convolution, the Hilbert transform and Fourier transform contain much new material. For mathematicians, mathematical physicists and engineers whose work involves generalized functions.
Check nearby libraries
Buy this book
Previews available in: English
Subjects
Mathematics, Global analysis (Mathematics)Showing 1 featured edition. View all 1 editions?
Edition | Availability |
---|---|
1
Applied Hyperfunction Theory
1992, Springer Netherlands
electronic resource /
in English
9401051259 9789401051255
|
aaaa
Libraries near you:
WorldCat
|
Book Details
Edition Notes
Online full text is restricted to subscribers.
Also available in print.
Mode of access: World Wide Web.
Classifications
The Physical Object
ID Numbers
Community Reviews (0)
Feedback?History
- Created June 28, 2019
- 3 revisions
Wikipedia citation
×CloseCopy and paste this code into your Wikipedia page. Need help?
October 10, 2020 | Edited by ImportBot | import existing book |
August 3, 2020 | Edited by ImportBot | import existing book |
June 28, 2019 | Created by MARC Bot | Imported from Internet Archive item record |