Fourier analysis and its applications / Anders Vretblad
Type de document : MonographieCollection : Graduate texts in mathematics, 223Langue : anglais.Pays: Etats Unis.Éditeur : New-York : Springer, 2010Description : 1 vol. (XI-269 p.) : fig. ; 24 cmISBN: 9781441918413.ISSN: 0072-5285.Bibliographie : Bibliogr. p. 265-266. Index.Sujet MSC : 42-01, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to harmonic analysis on Euclidean spaces42A38, Harmonic analysis on Euclidean spaces, in one variable, Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
42B05, Harmonic analysis on Euclidean spaces, in several variables, Fourier series and coefficients
44A10, Integral transforms, operational calculus, Laplace transform
46F10, Functional analysis - Distributions, generalized functions, distribution spaces, Operations with distributions and generalized functions
46F12, Functional analysis - Distributions, generalized functions, distribution spaces, Integral transforms in distribution spacesEn-ligne : Springerlink - ed. 2003 | Zentralblatt | MathSciNet
| Item type | Current library | Call number | Status | Date due | Barcode |
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Monographie
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CMI Salle 1 | 42 VRE (Browse shelf(Opens below)) | Available | 06920-01 |
Bibliogr. p. 265-266. Index
A carefully prepared account of the basic ideas in Fourier analysis and its applications to the study of partial differential equations. The author succeeds to make his exposition accessible to readers with a limited background, for example, those not acquainted with the Lebesgue integral. Readers should be familiar with calculus, linear algebra, and complex numbers. At the same time, the author has managed to include discussions of more advanced topics such as the Gibbs phenomenon, distributions, Sturm-Liouville theory, Cesaro summability and multi-dimensional Fourier analysis, topics which one usually does not find in books at this level. A variety of worked examples and exercises will help the readers to apply their newly acquired knowledge. (Source : Springer)
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