Applied Integral Transforms

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This book does what few books on integral transforms do: it constructs the kernels of the integral transforms by solving the generalized Sturm--Liouville problems associated with the partial differential equations at hand. In the first part of the book, the authors construct the kernels and then use them to solve elementary problems of mathematical physics. This section, which proceeds mainly by examples and includes exercises, requires little mathematical background and provides an introduction to the subject of integral ...