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Published by Dartmouth College Press, 1993
ISBN 10: 0874516331 ISBN 13: 9780874516333
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Published by Dartmouth College Press, 1993
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Published by The University of Alabama Press, 2023
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Published by Dartmouth College Press, 1993
ISBN 10: 0874516331 ISBN 13: 9780874516333
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Published by Dartmouth College Press, 1993
ISBN 10: 0874516331 ISBN 13: 9780874516333
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Language: English
Published by University Alabama Press, 2023
ISBN 10: 0817321713 ISBN 13: 9780817321710
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First Edition
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Published by University of Alabama Press, 2023
ISBN 10: 0817321713 ISBN 13: 9780817321710
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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.
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Published by The University of Alabama Press, 2023
ISBN 10: 0817321713 ISBN 13: 9780817321710
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Language: English
Published by Birkhauser Verlag AG, 1992
ISBN 10: 3764325844 ISBN 13: 9783764325848
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Condition: New. Translator(s): Luderer, Bernd; Roch, Steffen. Series: Operator Theory: Advances and Applications. Num Pages: 269 pages, biography. BIC Classification: PBKL; PDE; TBJ. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 234 x 156 x 15. Weight in Grams: 1230. . 1992. 1992nd Edition. hardcover. . . . .
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