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Hardy Space
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Geliefert zwischen Mi., 28.01.2026 und Do., 29.01.2026
Details
In complex analysis, the Hardy spaces (or Hardy classes) Hp are certain spaces of holomorphic functions on the unit disk or upper half plane. They were introduced by Frigyes Riesz (Riesz 1923), who named them after G. H. Hardy, because of the paper (Hardy 1915). In real analysis Hardy spaces are certain spaces of distributions on the real line, which are (in the sense of distributions) boundary values of the holomorphic functions of the complex Hardy spaces, and are related to the Lp spaces of functional analysis. For 1 p these real Hardy spaces Hp are certain subsets of Lp, while for p 1 the Lp spaces have some undesirable properties, and the Hardy spaces are much better behaved. There are also higher dimensional generalizations, consisting of certain holomorphic functions on tube domains in the complex case, or certain spaces of distributions on Rn in the real case. Hardy spaces have a number of applications in mathematical analysis itself, as well as in control theory (such as H methods) and in scattering theory.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786130217099
- Editor Frederic P. Miller, Agnes F. Vandome, John McBrewster
- Sprache Englisch
- Größe H220mm x B150mm x T5mm
- Jahr 2009
- EAN 9786130217099
- Format Fachbuch
- ISBN 978-613-0-21709-9
- Titel Hardy Space
- Untertitel Complex analysis, Holomorphic function, Frigyes Riesz, G. H. Hardy, Real analysis, Distribution (mathematics), Lp space, Functional analysis
- Gewicht 130g
- Herausgeber Alphascript Publishing
- Anzahl Seiten 76
- Genre Mathematik
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