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Bücher Englische Bücher Wissen & Bildung Sozialwissenschaft, Recht, Wirtschaft Sozialwissenschaft allg. Banach Algebras with Symbol and Singular Integral Operators
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Banach Algebras with Symbol and Singular Integral Operators
N. Krupnik (Broschiert, Englisch)
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Beschreibung
About fifty years aga S. G. Mikhlin, in solving the regularization problem for two-dimensional singular integral operators [56], assigned to each such operator a func tion which he called a symbol, and showed that regularization is possible if the infimum of the modulus of the symbol is positive. Later, the notion of a symbol was extended to multidimensional singular integral operators (of… arbitrary dimension) [57, 58, 21, 22]. Subsequently, the synthesis of singular integral, and differential operators [2, 8, 9]led to the theory of pseudodifferential operators [17, 35] (see also [35(1)-35(17)]*), which are naturally characterized by their symbols. An important role in the construction of symbols for many classes of operators was played by Gelfand's theory of maximal ideals of Banach algebras [201. Using this the ory, criteria were obtained for Fredholmness of one-dimensional singular integral operators with continuous coefficients [34 (42)], Wiener-Hopf operators [37], and multidimensional singular integral operators [38 (2)]. The investigation of systems of equations involving such operators has led to the notion of matrix symbol [59, 12 (14), 39, 41]. This notion plays an essential role not only for systems, but also for singular integral operators with piecewise-continuous (scalar) coefficients [44 (4)]. At the same time, attempts to introduce a (scalar or matrix) symbol for other algebras have failed. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
11.04.2014
Sprache
Englisch
EAN
9783034854658
Herausgeber
Springer Basel
Serien- oder Bandtitel
Operator Theory: Advances and Applications
Sonderedition
Nein
Autor
N. Krupnik
Seitenanzahl
206
Einbandart
Broschiert
Schlagwörter
algebra, character, construction, differential operator, equation, Matrix, Maxima, maximum, Natural, operator, pseudodifferential operator, pseudodifferential operators, Scala, Singular integral, time
Thema-Inhalt
GT - Interdisziplinäre Studien
Höhe
244 mm
Breite
17 cm
Hersteller: Springer Nature Customer Service Center GmbH, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com
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