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Uncertainty principle for the Cantor dyadic group. / Krivoshein, A. V.; Lebedeva, E. A.

In: Journal of Mathematical Analysis and Applications, Vol. 423, No. 2, 2015.

Research output: Contribution to journal › Article

Harvard

Krivoshein, AV & Lebedeva, EA 2015, 'Uncertainty principle for the Cantor dyadic group', Journal of Mathematical Analysis and Applications, vol. 423, no. 2. https://doi.org/10.1016/j.jmaa.2014.10.043

APA

Krivoshein, A. V., & Lebedeva, E. A. (2015). Uncertainty principle for the Cantor dyadic group. Journal of Mathematical Analysis and Applications, 423(2). https://doi.org/10.1016/j.jmaa.2014.10.043

Vancouver

Krivoshein AV, Lebedeva EA. Uncertainty principle for the Cantor dyadic group. Journal of Mathematical Analysis and Applications. 2015;423(2). https://doi.org/10.1016/j.jmaa.2014.10.043

Author

Krivoshein, A. V. ; Lebedeva, E. A. / Uncertainty principle for the Cantor dyadic group. In: Journal of Mathematical Analysis and Applications. 2015 ; Vol. 423, No. 2.

BibTeX

@article{f1f26382e9164e76a5d22c54b3887c60,
title = "Uncertainty principle for the Cantor dyadic group",
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.",
keywords = "Localization, Dyadic analysis, The Cantor group, Uncertainty principle, Scaling function, Wavelet",
author = "Krivoshein, {A. V.} and Lebedeva, {E. A.}",
year = "2015",
doi = "10.1016/j.jmaa.2014.10.043",
language = "English",
volume = "423",
journal = "Journal of Mathematical Analysis and Applications",
issn = "0022-247X",
publisher = "Elsevier",
number = "2",

}

RIS

TY - JOUR

T1 - Uncertainty principle for the Cantor dyadic group

AU - Krivoshein, A. V.

AU - Lebedeva, E. A.

PY - 2015

Y1 - 2015

N2 - 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.

AB - 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.

KW - Localization

KW - Dyadic analysis

KW - The Cantor group

KW - Uncertainty principle

KW - Scaling function

KW - Wavelet

U2 - 10.1016/j.jmaa.2014.10.043

DO - 10.1016/j.jmaa.2014.10.043

M3 - Article

VL - 423

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

SN - 0022-247X

IS - 2

ER -

ID: 3924843