Polynomial index of a matrix of differential operators (Q2721618)

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scientific article; zbMATH DE number 1616337
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Polynomial index of a matrix of differential operators
scientific article; zbMATH DE number 1616337

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    17 February 2003
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    differential operator
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    polynomial index
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    Polynomial index of a matrix of differential operators (English)
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    \textit{H. Komatsu} [J. Fac. Sci., Univ. Tokyo, Sect. I A 18, 379-398 (1971; Zbl 0232.34026)] and \textit{B. Malgrange} [Enseignement Math., II. Ser. 20, 147-176 (1974; Zbl 0299.34011)] have calculated the analytical index of differential operators. In this note, the author establishes a polynomial index formula for the matrix of a differential operator. Also a regularity property for this matrix is given.
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