Localization of function defined on Cantor Group

Research outputpeer-review

1 Citation (Scopus)

Abstract

We introduce a notion of localization for dyadic functions, i. e. functions defined on Cantor group. Both nonperiodic and periodic cases are discussed. Localization is characterized by functionalsUC_d and UC_{dp} similar to the Heisenberg (the Breitenberger) uncertainty constants used for real-line (periodic) functions. We are looking for dyadic analogs of uncertainty principles. To justify definition we use some test functions including dyadic scaling and wavelet functions.
Original languageEnglish
Title of host publication11TH INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2013: ICNAAM 2013
PublisherSpringer Nature
Pages711-714
ISBN (Print)978-073541184-5
DOIs
Publication statusPublished - 2013

Publication series

NameAIP Coference Proceedings
Volume1558

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