Non-similarity of Walsh and trigonometric systems

P. Wojtaszczyk

ArticleOriginal scientific text

Title

Non-similarity of Walsh and trigonometric systems

Authors ¹

Affiliations

Institute of Mathematics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland

Abstract

We show that in

L_{p}

for p ≠ 2 the constants of equivalence between finite initial segments of the Walsh and trigonometric systems have power type growth. We also show that the Riemann ideal norms connected with those systems have power type growth.

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Title

Non-similarity of Walsh and trigonometric systems

Affiliations

Abstract

Bibliography