Provenzi, Edoardo
From Euclidean to Hilbert Spaces: Introduction to Functional Analysis and its Applications
The common thread of this book is the Fourier transform, which is examined starting from the discrete Fourier transform (DFT), along with its applications in signal and image processing, passing through the Fourier series and finishing with the use of the Fourier transform to solve differential equations.
The geometric structure of Hilbert spaces and the most significant properties of bounded linear operators in these spaces are also covered extensively. The theorems are presented with detailed proofs as well as meticulously explained exercises and solutions, with the aim of illustrating the variety of applications of the theoretical results.
Keywords: hilbert space; hilbert; analysis; functional analysis, Complex & Functional Analysis, Mathematical Analysis, Complex & Functional Analysis, Mathematical Analysis
- Author(s)
- Provenzi, Edoardo
- Publisher
- John Wiley and Sons, Inc.
- Publication year
- 2021
- Language
- en
- Edition
- 1
- Page amount
- 368 pages
- Category
- Natural Sciences
- Format
- Ebook
- eISBN (ePUB)
- 9781119851301
- Printed ISBN
- 9781786306821