Wavelet Characterizations for Anisotropic Besov Spaces
By R. Hochmuth. 2002
70 citations recorded by the source corpus.
Abstract The goal of this paper is to provide wavelet characterizations for anisotropic Besov spaces. Depending on the anisotropy, appropriate biorthogonal tensor product bases are introduced and Jackson and Bernstein estimates are proved for two-parameter families of finite-dimensional spaces. These estimates lead to characterizations for anisotropic Besov spaces by anisotropy-dependent linear approximation spaces and lead further on to interpolation and embedding results. Finally, wavelet characterizations for anisotropic Besov spaces with respect to Lp-spaces with 0
Subfields: Applied Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/71f4eca5a60d44706c3559ab00fe3cd9b67eeb10
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In Applied Mathematics
- Morten Nielsen
- Lasse Borup
- Marco F. Duarte
- Richard Baraniuk
- Hans G. Feichtinger
- Massimo Fornasier
- Karlheinz Gröchenig
- Francis R. Bach
In Mathematical Physics
- Morten Nielsen
- Richard Baraniuk
- Marco F. Duarte
- Lasse Borup
- Hans G. Feichtinger
- Massimo Fornasier
- Karlheinz Gröchenig
Citations in the corpus
- Frame Decomposition of Decomposition Spaces (2007, background): “Wavelet characterizations of anisotropic Besov spaces are considered in e.g., [31, 39 ].”
- Kronecker Compressive Sensing (2012, methodology): “…the e th dimension of the signal using a subsampling of the basis Φ 1 ⊗ . . . Φ e − 1 ⊗ Φ e +1 ⊗ . . . Φ D on each { 1 , . . . , e − 1 , e + 1 , . . . , D -section of x is such that where β e = D − 1 To put Theorem 3 in perspective, we study the bases and the exponents of the bounds separately.”