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Multiresolution analysis for compactly supported interpolating tensor product wavelets

Tutkimustuotosvertaisarvioitu

Standard

Multiresolution analysis for compactly supported interpolating tensor product wavelets. / Höynälänmaa, Tommi.

julkaisussa: International Journal of Wavelets Multiresolution and Information ProcessIng, Vuosikerta 13, Nro 2, 1550010, 06.03.2015.

Tutkimustuotosvertaisarvioitu

Harvard

Höynälänmaa, T 2015, 'Multiresolution analysis for compactly supported interpolating tensor product wavelets', International Journal of Wavelets Multiresolution and Information ProcessIng, Vuosikerta. 13, Nro 2, 1550010. https://doi.org/10.1142/S0219691315500101

APA

Höynälänmaa, T. (2015). Multiresolution analysis for compactly supported interpolating tensor product wavelets. International Journal of Wavelets Multiresolution and Information ProcessIng, 13(2), [1550010]. https://doi.org/10.1142/S0219691315500101

Vancouver

Höynälänmaa T. Multiresolution analysis for compactly supported interpolating tensor product wavelets. International Journal of Wavelets Multiresolution and Information ProcessIng. 2015 maalis 6;13(2). 1550010. https://doi.org/10.1142/S0219691315500101

Author

Höynälänmaa, Tommi. / Multiresolution analysis for compactly supported interpolating tensor product wavelets. Julkaisussa: International Journal of Wavelets Multiresolution and Information ProcessIng. 2015 ; Vuosikerta 13, Nro 2.

Bibtex - Lataa

@article{cc4830ede5dc4c129dee8f9fa0f5fa7f,
title = "Multiresolution analysis for compactly supported interpolating tensor product wavelets",
abstract = "We construct multidimensional interpolating tensor product multiresolution analyses (MRA's) of the function spaces C0(Rn,K), K = R or K = C, consisting of real or complex valued functions on Rn vanishing at infinity and the function spaces Cu(Rn,K) consisting of bounded and uniformly continuous functions on Rn. We also construct an interpolating dual MRA for both of these spaces. The theory of the tensor products of Banach spaces is used. We generalize the Besov space norm equivalence from the one-dimensional case to our n-dimensional construction.",
keywords = "Besov space, injective tensor norm, Interpolating wavelets, multiresolution analysis, multivariate wavelets, projective tensor norm, tensor Product",
author = "Tommi H{\"o}yn{\"a}l{\"a}nmaa",
year = "2015",
month = "3",
day = "6",
doi = "10.1142/S0219691315500101",
language = "English",
volume = "13",
journal = "International Journal of Wavelets Multiresolution and Information ProcessIng",
issn = "0219-6913",
publisher = "World Scientific Publishing",
number = "2",

}

RIS (suitable for import to EndNote) - Lataa

TY - JOUR

T1 - Multiresolution analysis for compactly supported interpolating tensor product wavelets

AU - Höynälänmaa, Tommi

PY - 2015/3/6

Y1 - 2015/3/6

N2 - We construct multidimensional interpolating tensor product multiresolution analyses (MRA's) of the function spaces C0(Rn,K), K = R or K = C, consisting of real or complex valued functions on Rn vanishing at infinity and the function spaces Cu(Rn,K) consisting of bounded and uniformly continuous functions on Rn. We also construct an interpolating dual MRA for both of these spaces. The theory of the tensor products of Banach spaces is used. We generalize the Besov space norm equivalence from the one-dimensional case to our n-dimensional construction.

AB - We construct multidimensional interpolating tensor product multiresolution analyses (MRA's) of the function spaces C0(Rn,K), K = R or K = C, consisting of real or complex valued functions on Rn vanishing at infinity and the function spaces Cu(Rn,K) consisting of bounded and uniformly continuous functions on Rn. We also construct an interpolating dual MRA for both of these spaces. The theory of the tensor products of Banach spaces is used. We generalize the Besov space norm equivalence from the one-dimensional case to our n-dimensional construction.

KW - Besov space

KW - injective tensor norm

KW - Interpolating wavelets

KW - multiresolution analysis

KW - multivariate wavelets

KW - projective tensor norm

KW - tensor Product

UR - http://www.scopus.com/inward/record.url?scp=84928923864&partnerID=8YFLogxK

U2 - 10.1142/S0219691315500101

DO - 10.1142/S0219691315500101

M3 - Article

VL - 13

JO - International Journal of Wavelets Multiresolution and Information ProcessIng

JF - International Journal of Wavelets Multiresolution and Information ProcessIng

SN - 0219-6913

IS - 2

M1 - 1550010

ER -