Téléchargez le livre : From Euclidean to Hilbert Spaces

From Euclidean to Hilbert Spaces

Introduction to Functional Analysis and its Applications de

Éditeur :

Wiley-ISTE


Paru le : 2021-08-03

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Description
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 infinite dimensions, noting the fundamental importance of coherence between the algebraic and topological structure, which makes Hilbert spaces the infinite-dimensional objects most closely related to Euclidian spaces.

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.
Pages
368 pages
Collection
n.c
Parution
2021-08-03
Marque
Wiley-ISTE
EAN papier
9781786306821
EAN PDF
9781119851295
Informations sur l'ebook
Nombre pages copiables
0
Nombre pages imprimables
368
Taille du fichier
7291 Ko
Prix
163,47 €
EAN EPUB
9781119851301
Informations sur l'ebook
Nombre pages copiables
0
Nombre pages imprimables
368
Taille du fichier
23931 Ko
Prix
163,47 €

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