From Euclidean to Hilbert spaces : introduction to functional analysis and its applications /

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From Euclidian to Hilbert Spaces analyzes the transition from finite dimensional Euclidian spaces to infinite-dimensional Hilbert spaces, a notion that can sometimes be difficult for non-specialists to grasp. The focus is on the parallels and differences between the properties of the finite and infi...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Provenzi, Edoardo
Format: Electronic eBook
Language:Inglés
Published: London : Hoboken : ISTE Ltd. ; Wiley, 2021.
Subjects:
Functional analysis.
Analyse fonctionnelle.
Online Access:Texto completo (Requiere registro previo con correo institucional)
Table of Contents:
  • Inner Product Spaces (Pre-Hilbert)
  • The Discrete Fourier Transform and its Applications to Signal and Image Processing
  • Lebesgue's Measure and Integration Theory
  • Banach Spaces and Hilbert Spaces
  • The Geometric Structure of Hilbert Spaces
  • Bounded Linear Operators in Hilbert Spaces
  • Quotient Space
  • The Transpose (or Dual)of a Linear Operator
  • Uniform, Strong and Weak Convergence.

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