Topological Vector Spaces, Distributions and Kernels

Topological Vector Spaces, Distributions and KernelsThis text for upper level undergraduates and graduate students focuses on key notions and results in functional analysis. Extending beyond the boundaries of Hilbert and Banach space theory, it explores aspects of analysis relevant to the solution of partial differential equations. The three part treatment begins with topological vector spaces and spaces of functions, progressing to duality and spaces of distribution, and concluding with tensor

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The text provides material for undergraduate and graduate courses

the Treatise begins with an examination of the nature of ideas: their origins and connections

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concluding with a selection of related topics

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Classical thermophysics