Uncertainty principle for the Cantor dyadic group

Research output

5 Citations (Scopus)

Abstract

We introduce a notion of localization for functions defined on the Cantor group. Localization is characterized by the functional UCd that is similar to the Heisenberg uncertainty constant for real-line functions. We are looking for dyadic analogs of quantitative uncertainty principles. To justify our definition we use some test functions including dyadic scaling and wavelet functions.
Original languageEnglish
Number of pages12
JournalJournal of Mathematical Analysis and Applications
Volume423
Issue number2
DOIs
Publication statusPublished - 2015

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