title: Uncertainty principle for the Cantor dyadic group
metadata.name: dc.contributor.author
metadata.value: Krivoshein, Aleksandr
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Lebedeva, Elena
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2016-04-08T06:33:55Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2016-04-08T06:33:55Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2015-03-15
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/1964
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: 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.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: en
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: Elsevier
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: 423;2
metadata.lang: -
metadata.name: dc.subject
metadata.value: Localization; Dyadic analysis; The Cantor group; Uncertainty principle; Scaling function; Wavelet
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Uncertainty principle for the Cantor dyadic group
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 1-s2.0-S0022247X14009706-main.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/1964/1/1-s2.0-S0022247X14009706-main.pdf
resources.format: Adobe PDF
resources.description: Main article
resources.size: 356,98 kB