基本信息
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职业迁徙
个人简介
My research areas are:
non-isotropic function spaces such as: anisotropic Hardy, Besov, and Triebel-Lizorkin spaces and their wavelet decompositions,
construction and non-existence results for wavelets with good regularity properties associated with arbitrary dilations,
L2-theory of wavelets and frame wavelets: characterization theorems, quasi-affine systems, the wavelet dimension function, canonical and alternate duals of frame wavelets, connectivity results, Riesz wavelets,
the structure of shift-invariant spaces in L2(Rn): range, dimension, and spectral functions, refinable spaces, generalized multi-resolution analysis,
Gabor (Weyl-Heisenberg) systems: the structure of shift-modulation invariant spaces, Gabor frame sequences,
weighted norm inequalities: theory of matrix-valued weights generalizing scalar Muckenhoupt Ap weights.
non-isotropic function spaces such as: anisotropic Hardy, Besov, and Triebel-Lizorkin spaces and their wavelet decompositions,
construction and non-existence results for wavelets with good regularity properties associated with arbitrary dilations,
L2-theory of wavelets and frame wavelets: characterization theorems, quasi-affine systems, the wavelet dimension function, canonical and alternate duals of frame wavelets, connectivity results, Riesz wavelets,
the structure of shift-invariant spaces in L2(Rn): range, dimension, and spectral functions, refinable spaces, generalized multi-resolution analysis,
Gabor (Weyl-Heisenberg) systems: the structure of shift-modulation invariant spaces, Gabor frame sequences,
weighted norm inequalities: theory of matrix-valued weights generalizing scalar Muckenhoupt Ap weights.
研究兴趣
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arXiv (Cornell University) (2023)
MATHEMATISCHE NACHRICHTENno. 6 (2023): 2258-2275
arxiv(2023)
arxiv(2023)
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arxiv(2022)
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Journal of Mathematical Analysis and Applicationsno. 1 (2022)
arxiv(2022)
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D-Core
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