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- W1907771214 abstract "Let $m in Z^+$ be given. For any $varepsilon > 0$ we construct a function $f^{{varepsilon }}$ having the following properties: (a) $f^{{varepsilon }}$ has support in $[-varepsilon , 1 + varepsilon ]$. (b) $f^{{varepsilon }} in C^m(-infty , infty )$. (c) If $h$ denotes the Haar function and $0<delta <infty$, then $Vert f^{{varepsilon }} - h Vert _{L^delta (mathcal R)} le (1+2^delta )^{1/delta }(2varepsilon )^{1/delta }$. (d) $f^{{varepsilon }}$ generates an affine Riesz basis whose frame bounds (which are given explicitly) converge to $1$ as $varepsilon rightarrow 0$." @default.
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- W1907771214 date "1997-01-01" @default.
- W1907771214 modified "2023-09-26" @default.
- W1907771214 title "Perturbations of the Haar wavelet" @default.
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- W1907771214 doi "https://doi.org/10.1090/s0002-9939-97-04002-1" @default.
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