This tract is devoted to the theory of linear equations, mainly of the second kind, associated with the names of Volterra, Fredholm, Hilbert and Schmidt. The treatment has been modernised by the systematic use of the Lebesgue integral, which considerably widens the range of applicability of the theory. Special attention is paid to the singular functions of non-symmetric kernels and to obtaining as strong results as possible for the convergence of the expansions in infinite series. References are given to work on numerical methods of solution. Individual chapters deal with the resolvent kernel and the Neumann series, the Fredholm theorems, orthonormal systems of functions, the classical Fredholm theory, the Fred-holm formulae for ß2 kernels, Hermitian kernels, singular functions and singular values.
Not yet reviewed
Be the first to review
Review was not posted due to profanity×
- Date Published: January 2009
- format: Paperback
- isbn: 9780521100038
- length: 188 pages
- dimensions: 216 x 140 x 11 mm
- weight: 0.25kg
- availability: Available
Table of Contents
2. The Resolvent Kernel and the Neumann Series
3. The Fredholme Theorems
4. Orthonormal Systems of Functions
5. The Classical Fredholme Theory
6. The Fredholme Formulae for ß2 kernels
7. Hermitian kernels
8. Singular Functions and Singular Values.
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email firstname.lastname@example.orgRegister Sign in
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.Continue ×
Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.×