Fundamental Operator-Functions of Degenerate Differential and Difference-Differential Operators in Banach Spaces Which Have a Noether Operator in the Principal Part |
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Authors: | M V Falaleev E Yu Grazhdantseva |
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Institution: | (1) Institute of Mathematics, Economics, and Informatics, Irkutsk State University, Irkutsk, Russia |
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Abstract: | Continuing the study by the first author, we construct fundamental operator-functions for some classes of degenerate differential operators (both ordinary and partial) and difference-differential operators in Banach spaces which have a Noether operator at the leading (time) derivative. To this end, we use the method of Jordan chains of Noether operators and the methods of distribution theory in Banach spaces. |
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Keywords: | distribution Noether operator Banach space fundamental operator-function Jordan chain convolution |
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