Integral Equations (Paperback) (ISBN-13: 9780521100038)

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 2 kernels, Hermitian kernels, singular functions and singular values.

Author: Smithies, F. Smithies, Smithies Smithies
ISBN-10: 0521100038
ISBN-13: 9780521100038
Publisher: Cambridge University Press
Language: English
Published: 01/18/2009
Pages: 188
Format: Paperback
Weight: 0.54lbs
Size: 8.50h x 5.50w x 0.43d