Spectral Theorems Associated with the Riemann–Liouville Two-Wavelet Localization Operators
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DOI: 10.1007/s10476-018-0609-y
Abstract: In this paper, we prove the boundedness and compactness of localization operators associated with Riemann–Liouville wavelet transforms, which depend on a symbol and two Riemann–Liouville wavelets on Lp(dνα), 1 ≤ p ≤ ∞. read more here.
Keywords: localization operators; wavelet; associated riemann; spectral theorems ... See more keywords
k-Hankel Gabor Transform and Its Applications to the Theory of Localization Operators
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DOI: 10.1007/s10476-021-0091-9
Abstract: We introduce and study the k-Hankel Gabor transform. We investigate the localization operators for this transform. In particular, we study their trace class properties and we prove that they belong to the Schatten-von Neumann class.… read more here.
Keywords: localization operators; hankel gabor; gabor transform;
Shapiro’s uncertainty principle and localization operators associated to the continuous wavelet transform
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DOI: 10.1007/s11868-016-0175-7
Abstract: Quantitative Shapiro’s dispersion uncertainty principle and umbrella theorem are proved for the continuous wavelet transform. Also the localization operators associated with the continuous wavelet transform are studied. read more here.
Keywords: wavelet transform; uncertainty principle; localization operators; continuous wavelet ... See more keywords
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
Subexponential decay and regularity estimates for eigenfunctions of localization operators
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DOI: 10.1007/s11868-021-00383-1
Abstract: We consider time-frequency localization operators $$A_a^{\varphi _1,\varphi _2}$$ A a φ 1 , φ 2 with symbols a in the wide weighted modulation space $$ M^\infty _{w}({\mathbb {R}^{2d}})$$ M w ∞ ( R 2 d… read more here.
Keywords: modulation; localization operators; space; decay regularity ... See more keywords