Geodesic
Operator-valued functions of bounded semivariation and convolutions
Mathematica Bohemica, Tome 126 (2001) no. 4, pp. 745-777

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MR Zbl
The abstract Perron-Stieltjes integral in the Kurzweil-Henstock sense given via integral sums is used for defining convolutions of Banach space valued functions. Basic facts concerning integration are preseted, the properties of Stieltjes convolutions are studied and applied to obtain resolvents for renewal type Stieltjes convolution equations.
The abstract Perron-Stieltjes integral in the Kurzweil-Henstock sense given via integral sums is used for defining convolutions of Banach space valued functions. Basic facts concerning integration are preseted, the properties of Stieltjes convolutions are studied and applied to obtain resolvents for renewal type Stieltjes convolution equations.
DOI : 10.21136/MB.2001.134117
Classification : 26A39, 26A42, 26A45, 26E20, 45N05, 46G12
Keywords: Kurzweil-Henstock integration; convolution; Banach space 
Schwabik, Štefan. Operator-valued functions of bounded semivariation and convolutions. Mathematica Bohemica, Tome 126 (2001) no. 4, pp. 745-777. doi: 10.21136/MB.2001.134117
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