Continual Wavelets with Basis of Distributions

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Continual Wavelets with Basis of Distributions. / Dem’yanovich, Yu K.

In: Journal of Mathematical Sciences (United States), Vol. 262, No. 3, 10.05.2022, p. 262-274.

Research output: Contribution to journal › Article › peer-review

Author

Dem’yanovich, Yu K. / Continual Wavelets with Basis of Distributions. In: Journal of Mathematical Sciences (United States). 2022 ; Vol. 262, No. 3. pp. 262-274.

BibTeX

@article{51655c7ebe15468a9cad3e665aa27db9,

title = "Continual Wavelets with Basis of Distributions",

abstract = "We study wavelet decompositions of information flows connected with trajectories in the space of distributions. We obtain an embedding criterion and the wavelet decomposition for the space of distributions and the space of dipoles. We show that it is possible to pass from the continual to the discrete case.",

author = "Dem{\textquoteright}yanovich, {Yu K.}",

note = "Publisher Copyright: {\textcopyright} 2022, Springer Science+Business Media, LLC, part of Springer Nature.",

year = "2022",

month = may,

day = "10",

doi = "10.1007/s10958-022-05815-x",

language = "English",

volume = "262",

pages = "262--274",

journal = "Journal of Mathematical Sciences",

issn = "1072-3374",

publisher = "Springer Nature",

number = "3",

}

RIS

TY - JOUR

T1 - Continual Wavelets with Basis of Distributions

AU - Dem’yanovich, Yu K.

PY - 2022/5/10

Y1 - 2022/5/10

N2 - We study wavelet decompositions of information flows connected with trajectories in the space of distributions. We obtain an embedding criterion and the wavelet decomposition for the space of distributions and the space of dipoles. We show that it is possible to pass from the continual to the discrete case.

AB - We study wavelet decompositions of information flows connected with trajectories in the space of distributions. We obtain an embedding criterion and the wavelet decomposition for the space of distributions and the space of dipoles. We show that it is possible to pass from the continual to the discrete case.

UR - http://www.scopus.com/inward/record.url?scp=85129733470&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/3818893d-1e11-3938-b6c7-34b47125faf5/

U2 - 10.1007/s10958-022-05815-x

DO - 10.1007/s10958-022-05815-x

M3 - Article

AN - SCOPUS:85129733470

VL - 262

SP - 262

EP - 274

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 3

ER -

ID: 99567981