Dunkl two-wavelet theory and localization operators
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DOI: 10.1007/s11868-017-0196-x
Abstract: In this paper the notion of a Dunkl two-wavelet is introduced. The resolution of the identity formula for the Dunkl continuous wavelet transform is then formulated and proved. Calderón’s type reproducing formula in the context… read more here.
Keywords: localization operators; theory; two wavelet; dunkl two ... See more keywords
Boundedness and compactness of Heckman–Opdam two-wavelet multipliers
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DOI: 10.1007/s11868-017-0221-0
Abstract: We introduce the notion of a Heckman–Opdam two-wavelet multiplier, and give a trace formula for a Heckman–Opdam two-wavelet multiplier as a bounded linear operator in the trace class from $$L^{2}_{A_{k}}(\mathbb {R}^{d})$$LAk2(Rd) into $$L^{2}_{A_{k}}(\mathbb {R}^{d})$$LAk2(Rd) in… read more here.
Keywords: opdam two; wavelet multipliers; heckman opdam; two wavelet ... See more keywords
Boundedness and compactness of Reimann–Liouville two-wavelet multipliers
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DOI: 10.1007/s11868-018-0235-2
Abstract: We introduce the notion of a Reimann–Liouville two-wavelet multiplier, and we give its trace formula as a bounded linear operator in the trace class from $$L^{2}(d\nu _{\alpha })$$L2(dνα) into $$L^{2}(d\nu _{\alpha })$$L2(dνα) in terms of… read more here.
Keywords: compactness reimann; two wavelet; reimann liouville; liouville two ... See more keywords
On the relations of general homogeneous spaces and the two-wavelet localization operators
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DOI: 10.1007/s11868-021-00387-x
Abstract: In this note, the two-wavelet localization operator for square integrable representation of a general homogeneous space is defined. Then among other things, the boundedness properties of this operator is investigated. In particular, it is shown… read more here.
Keywords: two wavelet; relations general; wavelet localization; general homogeneous ... See more keywords
Spectral theorems associated with the spherical mean two-wavelet multipliers
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DOI: 10.1080/10652469.2018.1484456
Abstract: ABSTRACT We introduce the notion of a spherical mean two-wavelet multiplier, and we give its trace formula as a bounded linear operator in the trace class from into in terms of the symbol and the… read more here.
Keywords: spherical mean; two wavelet; mean two; wavelet multipliers ... See more keywords