Integral Equations

Smithies (Autor)

Buch | Softcover

188 Seiten

2009
Cambridge University Press (Verlag)
978-0-521-10003-8 (ISBN)

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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.

1. Introduction; 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.

Erscheint lt. Verlag	18.1.2009
Reihe/Serie	Cambridge Tracts in Mathematics
Zusatzinfo	Worked examples or Exercises
Verlagsort	Cambridge
Sprache	englisch
Maße	140 x 216 mm
Gewicht	240 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-10	0-521-10003-8 / 0521100038
ISBN-13	978-0-521-10003-8 / 9780521100038
Zustand	Neuware