Isbn: 9783642634987 - harmonic analysis on classical groups (17 risultati)

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Paperback or Softback. Condizione: New. Harmonic Analysis on Classical Groups. Book.

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Paperback. Condizione: Brand New. reprint edition. 280 pages. 9.53x6.69x0.64 inches. In Stock.

Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - H.Weyl studied harmonic analysis on compact groups of finite di mension. He proved that an orthonormal system exists and that any continuous function on these groups can be approximated by some tinite linear combination of functions in this system. His research, however, seems to be too abstract to yield an explicit expression for the orthonormal system. Thus, we cannot talk about the form of the approximation, nor about its convergence. iO The simplest example of compact groups is {e }, on which there exists an orthonormal system inO { e }, n = 0, ± 1, ± 2 , . , namely 1 J2' .' .' {I, for n = m; - e,n'e-1m'dO = 2n 0 0, for n =;6 m. The harmonic analysis on this compact group refers to the whole Fourier analysis. So far, extensive literature has been available on this topic. Its remarkable progress is evidenced by the great monograph of seven-hundred pages in two volumes written by A. Zygmund in 1959. iO An immediate extension for {e } is group U', which consists of all n X n square matrices U satisfying ufj' = I, where fj' denotes the conjugate transpose matrix of U. As for construction, there is a close relation between the group U and the group S03. Besides, 2 the application of U' has been found more and more important in physics.…

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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -H.Weyl studied harmonic analysis on compact groups of finite di mension. He proved that an orthonormal system exists and that any continuous function on these groups can be approximated by some tinite linear combination of functions in this system. His research, however, seems to be too abstract to yield an explicit expression for the orthonormal system. Thus, we cannot talk about the form of the approximation, nor about its convergence. iO The simplest example of compact groups is {e }, on which there exists an orthonormal system inO { e }, n = 0, ± 1, ± 2 , . , namely 1 J2' .' .' {I, for n = m; - e,n'e-1m'dO = 2n 0 0, for n =;6 m. The harmonic analysis on this compact group refers to the whole Fourier analysis. So far, extensive literature has been available on this topic. Its remarkable progress is evidenced by the great monograph of seven-hundred pages in two volumes written by A. Zygmund in 1959. iO An immediate extension for {e } is group U', which consists of all n X n square matrices U satisfying ufj' = I, where fj' denotes the conjugate transpose matrix of U. As for construction, there is a close relation between the group U and the group S03. Besides, 2 the application of U' has been found more and more important in physics. 280 pp. Englisch.…

Condizione: New. Print on Demand pp. 280 67:B&W 6.69 x 9.61 in or 244 x 170 mm (Pinched Crown) Perfect Bound on White w/Gloss Lam.

Condizione: New. PRINT ON DEMAND pp. 280.

Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -A comprehensive treatment of harmonic analysis on unitary, rotation, and unitary symplectic groups that will appeal to readers from graduate student level upwards, to teachers and researchers. A special feature is the survey-character of this work that draws together research results from the author and other contemporary Chinese mathematicians.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 280 pp. Englisch.…