Fourier Series - Brossura

Hardy, G. H.; Rogosinski, Werner

Brossura

ISBN 10: 0486406814 ISBN 13: 9780486406817

Casa editrice: Dover Pubns, 2013

Riassunto

This classic text features a sophisticated treatment of Fourier's pioneering method for expressing periodic functions as an infinite series of trigonometrical functions. Geared toward mathematicians already familiar with the elements of Lebesgue's theory of integration, the text serves as an introduction to Zygmund's standard treatise.
Beginning with a brief introduction to some generalities of trigonometrical series, the book explores the Fourier series in Hilbert space as well as their convergence and summability. The authors provide an in-depth look at the applications of previously outlined theorems and conclude with an examination of general trigonometrical series. Ideally suited for both individual and classroom study, this incisive text offers advanced undergraduate and graduate students in mathematics, physics, and engineering a valuable tool in understanding the essentials of the Fourier series.

Su questo libro

Product Description:

Geared toward mathematicians already familiar with the elements of Lebesgue's theory of integration, this classic graduate-level text begins with a brief introduction to some generalities of trigonometrical series. Discussions of the Fourier series in Hilbert space lead to an examination of further properties of trigonometrical Fourier series and related subjects. 1956 edition.

Contenuti:

Preface; Notations I. Generalities II. Fourier series in Hilbert space III. Further properties of trigonometrical Fourier series IV. Convergence of Fourier series V. Summability of Fourier series VI. Applications of the theorems of Chapter V VII. General trigonometrical series Notes

Su questa edizione

• Editore: Dover Pubns
• Data di pubblicazione: 2013
• ISBN 10: 0486406814
• ISBN 13: 9780486406817
• Rilegatura: Copertina flessibile
• Numero di pagine: 100