Hilbert Space Analysis of Integral Equations
نویسنده
چکیده
This paper examines the theory of solving certain classes of integral equations using functional analysis methods of Hilbert Space. Included are equations with symmetric kernels and their associated self-adjoint linear operators, and in particular the Fredholm equation. The Hilbert Space methods, while taking time and effort to establish, prove rewarding in that they then simplify approaches to solving such equations, on the way providing more focused and powerful results. Examples serve to illustrate the principles.
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