Overview: Presents an introduction to the geometry of Hilbert spaces and operator theory.Discusses Legendre, Hermite, Laguerre polynomials and Rademacher functions and their applications.Highlights applications.The book presents an introduction to the geometry of Hilbert spaces and operator theory, targeting graduate and senior undergraduate students of mathematics. Major topics discussed in the book are inner product spaces, linear operators, spectral theory and special classes of operators, and Banach spaces. On vector spaces, the structure of inner product is imposed. After discussing geome
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