针叶树
发表于 2025-3-23 09:44:56
Matrix Fredholm Operators,In 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.
昏睡中
发表于 2025-3-23 17:24:17
Exact Constants in Boundedness Theorems for Singular Integral Operators,Let Г be a rectifiable curve in the complex plane ℂ and let S. (or simply.) denote the operator of singular integration along Г:..
北极熊
发表于 2025-3-23 21:23:10
Singular Integral Operators with Matrix Coefficients,In 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.
完全
发表于 2025-3-23 23:48:27
Banach Algebras with Symbol,In this chapter we characterize the Ban ach algebras possessing a scalar symbol and give examples of such algebras.
anarchist
发表于 2025-3-24 04:38:42
Banach Algebras Generated by Singular Integral Operators with Piecewise-Continuous Coefficients,In 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.
大约冬季
发表于 2025-3-24 09:48:16
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originality
发表于 2025-3-24 12:01:30
Matrix Symbols,In this chapter we obtain conditions for the existence of an .-symbol and construct such a symbol for certain classes of Banach algebras. We also find conditions under which the order of the symbol cannot be reduced and then we give examples of algebras which have a matrix symbol and of those which do not.
下船
发表于 2025-3-24 17:59:57
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obviate
发表于 2025-3-24 21:55:37
Book 1987 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) . Subsequently, the
套索
发表于 2025-3-24 23:22:23
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