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Titlebook: Banach Algebras with Symbol and Singular Integral Operators; Naum Yakovlevich Krupnik Book 1987 Springer Basel AG 1987 algebra.character.c

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樓主
發(fā)表于 2025-3-21 20:05:18 | 只看該作者 |倒序瀏覽 |閱讀模式
期刊全稱Banach Algebras with Symbol and Singular Integral Operators
影響因子2023Naum Yakovlevich Krupnik
視頻videohttp://file.papertrans.cn/181/180528/180528.mp4
學科分類Operator Theory: Advances and Applications
圖書封面Titlebook: Banach Algebras with Symbol and Singular Integral Operators;  Naum Yakovlevich Krupnik Book 1987 Springer Basel AG 1987 algebra.character.c
影響因子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 esse
Pindex Book 1987
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沙發(fā)
發(fā)表于 2025-3-21 21:26:12 | 只看該作者
978-3-0348-5465-8Springer Basel AG 1987
板凳
發(fā)表于 2025-3-22 03:08:46 | 只看該作者
Operator Theory: Advances and Applicationshttp://image.papertrans.cn/b/image/180528.jpg
地板
發(fā)表于 2025-3-22 07:32:11 | 只看該作者
https://doi.org/10.1007/978-3-662-32927-6In this chapter a connection is established between the Fredholmness of the operator . = [..]. in the Cartesian product ... of . copies of a Banach space . and the Fredholmness of its determinant .[..] in .. Conditions are given under which the indices of these two operators coincide.
5#
發(fā)表于 2025-3-22 10:51:20 | 只看該作者
https://doi.org/10.1007/978-3-662-32925-2Let Г be a rectifiable curve in the complex plane ? and let S. (or simply.) denote the operator of singular integration along Г:..
6#
發(fā)表于 2025-3-22 12:58:05 | 只看該作者
https://doi.org/10.1007/978-3-662-32925-2In this chapter we establish criteria for singular integral operators with piecewise-continuous matrix coefficients to be Fredholm operators, as well as conditions under which singular integral operators with bounded coefficients are Fredholm operators.
7#
發(fā)表于 2025-3-22 17:58:46 | 只看該作者
8#
發(fā)表于 2025-3-22 23:58:19 | 只看該作者
https://doi.org/10.1007/978-3-662-32923-8In this chapter we show that the algebras generated by singular integral operators with piecewise-continuous coefficients cannot be endowed with a scalar symbol. On such algebras we introduce matrix symbols and study their properties.
9#
發(fā)表于 2025-3-23 04:04:00 | 只看該作者
https://doi.org/10.1007/978-3-642-91798-1In this chapter we construct a matrix analog of Gelfand’s transformation, we investigate its properties, and we give examples.
10#
發(fā)表于 2025-3-23 09:15:12 | 只看該作者
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