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Matrix Transforms of Summability Domains of Normal Series-to-Series Matrices
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In the present paper matrix transforms of summability domains CSA of normal series-to-series matrices A are investigated. Let M be a matrix and B a triangular series-to-series matrix. Necessary and sufficient conditions for M to be a transform from CSA into CSB are found. For application the special case, when A is a series-to-series Riesz matrix, are studied.
Title: Matrix Transforms of Summability Domains of Normal Series-to-Series Matrices
Description:
In the present paper matrix transforms of summability domains CSA of normal series-to-series matrices A are investigated.
Let M be a matrix and B a triangular series-to-series matrix.
Necessary and sufficient conditions for M to be a transform from CSA into CSB are found.
For application the special case, when A is a series-to-series Riesz matrix, are studied.
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