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Function Vector Spaces and Fourier Seriespaces. Section 4.1 is meant to provide a general picture of the location and depth of these extensions, introducing an infinite orthonormal set of functions (2.)./. exp(inx), for . 0, ± 1, ± 2, …, periodic in . with period .. A large class of functions can be expanded in a series, called Fourier ser
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Normal Mode Expansion and Bessel Seriese region enclosed by the boundaries. This is developed in Section 6.1 for rectangular boundaries and in Sections 6.2 and 6.3 for circular, sectorial, and annular boundaries in the plane. These are a few of the systems which appear in physics and engineering, where a great variety of operators and bo
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Integral Transforms Related to the Fourier Transformtify continuous partial-wave analyses in terms of functions other than the oscillating exponential ones. Section 8.1 presents the bilateral and the more common unilateral Laplace transform where the expanding functions are the decreasing exponential functions exp(.). In Section 8.2 we expand functio
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