In L 2 ((0, 1) 2 ) infinitely many different biorthogonal wavelet bases may be introduced by taking tensor products of one-dimensional biorthogonal wavelet bases on the interval (0, 1). Most well-known are the standard tensor product bases and the hyperbolic bases. In further biorthogonal wavelet b
About Approximation Numbers in Function Spaces
✍ Scribed by António M. Caetano
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 263 KB
- Volume
- 94
- Category
- Article
- ISSN
- 0021-9045
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📜 SIMILAR VOLUMES
Let \(\xi\) be an irrational number with simple continued fraction expansion \(\xi=\left[a_{0} ; a_{1}, a_{2}, \ldots, a_{i}, \ldots\right]\). Let the \(i\) th convergent \(p_{i} / q_{i}=\left[a_{0} ; a_{1}, a_{2}, \ldots, a_{i}\right]\). Let \(\mu=\) \(\left|\left[0 ; a_{n+2}, a_{n+3}, \ldots\right
## Abstract The aim of this paper is twofold. First we prove that inhomogeneous wavelets of Daubechies type are unconditional Schauder bases in weighted function spaces of __B^s^~pq~__ and __F^s^~pq~__ type. Secondly we use these results to estimate entropy numbers of compact embeddings between the