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From Euclidean to Hilbert spaces : introduction to functional analysis and its applications /
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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
London : Hoboken :
ISTE Ltd. ; Wiley,
2021.
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| Temas: | |
| Acceso en línea: | Texto completo (Requiere registro previo con correo institucional) |
MARC
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| 037 | |a 9781786306821 |b O'Reilly Media | ||
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| 049 | |a UAMI | ||
| 100 | 1 | |a Provenzi, Edoardo. | |
| 245 | 1 | 0 | |a From Euclidean to Hilbert spaces : |b introduction to functional analysis and its applications / |c Edoardo Provenzi. |
| 260 | |a London : |b ISTE Ltd. ; |a Hoboken : |b Wiley, |c 2021. | ||
| 300 | |a 1 online resource | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 505 | 0 | |a 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. | |
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Online resource; title from PDF title page (John Wiley, viewed August 31, 2021). | |
| 520 | |a 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. | ||
| 590 | |a O'Reilly |b O'Reilly Online Learning: Academic/Public Library Edition | ||
| 650 | 0 | |a Functional analysis. | |
| 650 | 6 | |a Analyse fonctionnelle. | |
| 650 | 7 | |a Functional analysis. |2 fast |0 (OCoLC)fst00936061 | |
| 776 | 0 | 8 | |i Print version: |a Provenzi, Edoardo. |t From Euclidean to Hilbert spaces. |d London : ISTE Ltd. ; Hoboken : Wiley, 2021 |z 1786306824 |z 9781786306821 |w (OCoLC)1255463937 |
| 856 | 4 | 0 | |u https://learning.oreilly.com/library/view/~/9781786306821/?ar |z Texto completo (Requiere registro previo con correo institucional) |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH39128808 | ||
| 938 | |a YBP Library Services |b YANK |n 302368412 | ||
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