BOOK
Topological Vector Spaces, Distributions and Kernels
This foundational monograph provides a rigorous and systematic exposition of the three subjects mentioned in its title, which are central to modern functional analysis and partial differential equations. Trèves develops the theory of topological vector spaces with a focus on their applications to the study of distributions (generalized functions). A major highlight is the treatment of the kernel theorem, which provides a powerful tool for representing linear operators. The book is intended for researchers and graduate students seeking a deep structural understanding of spaces used in advanced mathematical analysis.
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