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.
By:
Smithies, F Smithies Imprint: Cambridge University Press Country of Publication: United Kingdom Volume: No. 49 Dimensions:
Height: 216mm,
Width: 140mm,
Spine: 11mm
Weight: 240g ISBN:9780521100038 ISBN 10: 0521100038 Series:Cambridge Tracts in Mathematics Pages: 188 Publication Date:18 January 2009 Audience:
Professional and scholarly
,
Undergraduate
Format:Paperback Publisher's Status: Active
