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Meyer wavelets with least uncertainty constant. / Lebedeva, E. A.; Protasov, V. Yu.

In: Mathematical Notes, Vol. 84, No. 5-6, 01.12.2008, p. 680-687.

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

Harvard

Lebedeva, EA & Protasov, VY 2008, 'Meyer wavelets with least uncertainty constant', Mathematical Notes, vol. 84, no. 5-6, pp. 680-687. https://doi.org/10.1134/S0001434608110096

APA

Lebedeva, E. A., & Protasov, V. Y. (2008). Meyer wavelets with least uncertainty constant. Mathematical Notes, 84(5-6), 680-687. https://doi.org/10.1134/S0001434608110096

Vancouver

Lebedeva EA, Protasov VY. Meyer wavelets with least uncertainty constant. Mathematical Notes. 2008 Dec 1;84(5-6):680-687. https://doi.org/10.1134/S0001434608110096

Author

Lebedeva, E. A. ; Protasov, V. Yu. / Meyer wavelets with least uncertainty constant. In: Mathematical Notes. 2008 ; Vol. 84, No. 5-6. pp. 680-687.

BibTeX

@article{da4825cc2b4c4674a4d1e09b4326935f,
title = "Meyer wavelets with least uncertainty constant",
abstract = "In the present paper, we construct a system of Meyer wavelets with least possible uncertainty constant. The uncertainty constant minimization problem is reduced to a convex variational problem whose solution satisfies a second-order nonlinear differential equation. Solving this equation numerically, we obtain the desired system of wavelets.",
keywords = "Fourier transform, Meyer wavelet, Second-order nonlinear differential equation, Sobolev space, Uncertainty constant, Variational problem",
author = "Lebedeva, {E. A.} and Protasov, {V. Yu}",
year = "2008",
month = dec,
day = "1",
doi = "10.1134/S0001434608110096",
language = "English",
volume = "84",
pages = "680--687",
journal = "Mathematical Notes",
issn = "0001-4346",
publisher = "Pleiades Publishing",
number = "5-6",

}

RIS

TY - JOUR

T1 - Meyer wavelets with least uncertainty constant

AU - Lebedeva, E. A.

AU - Protasov, V. Yu

PY - 2008/12/1

Y1 - 2008/12/1

N2 - In the present paper, we construct a system of Meyer wavelets with least possible uncertainty constant. The uncertainty constant minimization problem is reduced to a convex variational problem whose solution satisfies a second-order nonlinear differential equation. Solving this equation numerically, we obtain the desired system of wavelets.

AB - In the present paper, we construct a system of Meyer wavelets with least possible uncertainty constant. The uncertainty constant minimization problem is reduced to a convex variational problem whose solution satisfies a second-order nonlinear differential equation. Solving this equation numerically, we obtain the desired system of wavelets.

KW - Fourier transform

KW - Meyer wavelet

KW - Second-order nonlinear differential equation

KW - Sobolev space

KW - Uncertainty constant

KW - Variational problem

UR - http://www.scopus.com/inward/record.url?scp=59849089992&partnerID=8YFLogxK

U2 - 10.1134/S0001434608110096

DO - 10.1134/S0001434608110096

M3 - Article

AN - SCOPUS:59849089992

VL - 84

SP - 680

EP - 687

JO - Mathematical Notes

JF - Mathematical Notes

SN - 0001-4346

IS - 5-6

ER -

ID: 45798425