Harry Hochstadt is the author of Integral Equations, published by Wiley.
Table of Contents
Partial table of contents:
BASIC EXISTENCE THEOREMS.
Fixed Point Theorems.
Volterra Equations.
Kernels with Weak Singularities.
INTEGRAL EQUATIONS WITH L2 KERNELS.
Compact Operators.
Positive Operators.
Approximation of Eigenvalues.
Fredholm Equations with Self-Adjoint Compact Operators.
APPLICATIONS TO PARTIAL DIFFERENTIAL EQUATIONS
FOURIER TRANSFORMS.
Laplace Transforms.
Hankel Transforms.
Mellin Transforms.
The Weiner-Hopf Technique I. The Weiner-Hopf Technique II.
THE FREDHOLM THEORY.
NONLINEAR INTEGRAL EQUATIONS.
The Schauder Fixed Point Theorem.
Index.
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