Properties of the Discrete Pulse Transform for multi-dimensional arrays

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Abstract

This report presents properties of the Discrete Pulse Transform on multi-dimensional arrays introduced earlier in [1]. The main result given here in Lemma 2.1 is also formulated in [4, Lemma 21]. However, the proof, being too technical, was omitted there and hence it appears in full in this publication.

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Technical report created by R. Anguelov (Mathematics and Applied Mathematics) and I.N. Fabris-Rotelli (Statistics).

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Discrete pulse transform (DPT), Multi-dimensional arrays, Lemma 2.1

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