Erratum to: Some Smooth Compactly Supported Tight Wavelet Frames with Vanishing Moments
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DOI: 10.1007/s00041-017-9549-3
Abstract: The line between the displayed formulas (16) and (17) was copied incorrectly from [41, Theorem 1]. read more here.
Keywords: smooth compactly; tight wavelet; erratum smooth; compactly supported ... See more keywords
Approximately dual pairs of wavelet frames
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DOI: 10.1016/j.jmaa.2021.125841
Abstract: This paper deals with structural issues concerning wavelet frames and their dual frames. It is known that there exist wavelet frames {aj/2ψ(aj · −kb)}j,k∈Z in L2(R) for which no dual frame has wavelet structure. We… read more here.
Keywords: dual frame; frames approximately; wavelet; wavelet frames ... See more keywords
New constructions of nonseparable tight wavelet frames
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DOI: 10.1016/j.laa.2017.08.002
Abstract: Abstract We present two methods for constructing new nonseparable multidimensional tight wavelet frames by combining the ideas of sum of squares representations of nonnegative trigonometric polynomials with the coset sum method of generating nonseparable multidimensional… read more here.
Keywords: tight wavelet; lowpass; coset sum; wavelet ... See more keywords
Nonhomogeneous dual wavelet frames and mixed oblique extension principles in Sobolev spaces
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DOI: 10.1080/00036811.2017.1298745
Abstract: ABSTRACT From the literature, it is known that nonhomogeneous dual wavelet frames admit fast wavelet transform as homogeneous ones, and have more designing freedom than homogeneous ones. In this paper, we give a characterization of… read more here.
Keywords: oblique extension; wavelet; mixed oblique; dual wavelet ... See more keywords