Hyperbolic wavelet approximation

Constructive Approximation

Volumn 14, Issue 1, 1998, Pages 1-26

  DeVore, R A ^a   Konyagin, S V ^b   Temlyakov, V N ^a  

^a UNIVERSITY OF SOUTH CAROLINA   (United States)

^b MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

Hyperbolic wavelets; Interpolation spaces; Multivariate wavelets

Indexed keywords

EID: 0032340494     PISSN: 01764276     EISSN: None     Source Type: Journal    
DOI: 10.1007/s003659900060     Document Type: Article

References (17)

1. C. DE BOOR, R. A. DEVORE, A. RON (1993): On the construction of multivariate (pre) wavelets. Const. Approx., 9:123-166.
2. C. K. CHUI, J. Z. WANG (1992): On compactly supported spline wavelets and a duality principle. Trans. Amer. Math. Soc., 330:903-915.
3. A. COHEN, I. DAUBECHIES, J.-C. FEAUVEAU (1992): Biorthogonal bases of compactly supported wavelets. Comm. Pure Appl. Math., 45:485-560.
4. I. DAUBECHIES (1992): Ten Lectures on Wavelets. CBMS-NSF Regional Conference Series in Applied Mathematics, vol. 61. Philadelphia, PA: SIAM.
5. R. DEVORE, B. JAWERTH, V. POPOV (1992): Compression of wavelet decompositions. Amer. J. Math., 114:737-785.
6. R. DEVORE, G. LORENTZ (1993): Constructive Approximation. Heidelberg: Springer-Verlag.
7. R. DEVORE, P. PETRUSHEV, V. TEMLYAKOV (1994): Multivariate trigonometric approximation with frequencies from the hyperpolic cross. Mat. Zametki. 56(3):36-63: English translation in Math. Notes, 56.
8. R. DEVORE, P. PETRUSHEV, V. TEMLYAKOV (1994): Multivariate trigonometric approximation with frequencies from the hyperpolic cross. Mat. Zametki. 56(3):36-63: English translation in Math. Notes, 56.
9. J. DIESTEL (1984): Sequences and Series in Banach Spaces. Graduate Series in Mathematics. New York: Springer-Verlag.
10. p spaces of several variables. Acta Math., 129:137-193.
11. M. FRAZIER, B. JAWERTH (1990): A discrete transform and decomposition of distribution spaces. J. Funct. Anal., 93:34-170.
12. M. FRAZIER, B. JAWERTH, G. WEISS (1991): Littlewood-Paley Theory and the Study of Function Spaces. CBMS Regional Conference Series in Mathematics, vol. 79. Providence, RI: American Mathematical Society.
13. A. KAMONT (1996): On hyperbolic summation and hyperbolic moduli of smoothness. Const. Approx., 12:111-125.
14. B. S. KASHIN, A. A. SAAKYAN (1989): Orthogonal Series. Providence, RI: American Mathematical Society.
15. Y. MEYER (1990): Ondelettes et Opérateurs, vols. 1 and 2. Paris: Hermann.
16. V. TEMLYAKOV (1989): Approximation of functions with bounded mixed derivative. Proc. Steklov Inst. Math., 178:1-122.
17. A. ZYGMUND (1977): Trigonometric Series, vols. I and II. London: Cambridge University Press.