LEADER 00000cam a2200529 a 4500 
003    OCoLC 
005    20240129213017.0 
006    m     o  d         
007    cr |n||||||||| 
008    210807s2021    enk     ob    001 0 eng d 
015    GBC1D7818|2bnb 
016 7  020300538|2Uk 
020    9781119851318|q(electronic bk. ;|qoBook) 
020    1119851319|q(electronic bk. ;|qoBook) 
020    9781119851301|q(electronic bk.) 
020    1119851300|q(electronic bk.) 
024 7  10.1002/9781119851318|2doi 
029 1  AU@|b000069952135 
029 1  UKMGB|b020300538 
035    (OCoLC)1263023789 
037    9781119851301|bWiley 
037    9781786306821|bO'Reilly Media 
040    YDX|beng|epn|cYDX|dDG1|dOCLCO|dOCLCF|dUKMGB|dUKAHL|dOCLCQ
       |dOCLCO|dOCLCQ|dUPM|dOCLCQ|dORMDA|dLANGC|dOCLCQ|dOCLCO 
049    INap 
082 04 515.7 
082 04 515.7|223 
099    eBook O'Reilly for Public Libraries 
100 1  Provenzi, Edoardo. 
245 10 From Euclidean to Hilbert spaces :|bintroduction to 
       functional analysis and its applications /|cEdoardo 
       Provenzi.|h[O'Reilly electronic resource] 
260    London :|bISTE Ltd. ;|aHoboken :|bWiley,|c2021. 
300    1 online resource 
336    text|btxt|2rdacontent 
337    computer|bc|2rdamedia 
338    online resource|bcr|2rdacarrier 
504    Includes bibliographical references and index. 
505 0  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. 
520    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. 
588 0  Online resource; title from PDF title page (John Wiley, 
       viewed August 31, 2021). 
590    O'Reilly|bO'Reilly Online Learning: Academic/Public 
       Library Edition 
650  0 Functional analysis. 
650  6 Analyse fonctionnelle. 
650  7 Functional analysis|2fast 
776 08 |iPrint version:|aProvenzi, Edoardo.|tFrom Euclidean to 
       Hilbert spaces.|dLondon : ISTE Ltd. ; Hoboken : Wiley, 
       2021|z1786306824|z9781786306821|w(OCoLC)1255463937 
856 40 |uhttps://ezproxy.naperville-lib.org/login?url=https://
       learning.oreilly.com/library/view/~/9781786306821/?ar
       |zAvailable on O'Reilly for Public Libraries 
938    Askews and Holts Library Services|bASKH|nAH39128808 
938    YBP Library Services|bYANK|n302368412 
994    92|bJFN