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

針葉樹

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

Exact Constants in Boundedness Theorems for Singular Integral Operators,Let Г be a rectifiable curve in the complex plane ? and let S. (or simply.) denote the operator of singular integration along Г:..

北極熊

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

Banach Algebras with Symbol,In this chapter we characterize the Ban ach algebras possessing a scalar symbol and give examples of such algebras.

anarchist

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.

大約冬季

originality

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

obviate

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) [57, 58, 21, 22]. Subsequently, the

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