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Article

On Generalizations of Sampling Theorem and Stability Theorem in Shift-Invariant Subspaces of Lebesgue and Wiener Amalgam Spaces with Mixed-Norms

1
School of Mathematical Sciences, Tiangong University, Tianjin 300387, China
2
Faculty of Technical Sciences, University of Novi Sad, Trg D. Obradovića 6, 21125 Novi Sad, Serbia
3
Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 82444, Taiwan
*
Author to whom correspondence should be addressed.
Academic Editor: Mariano Torrisi
Symmetry 2021, 13(2), 331; https://doi.org/10.3390/sym13020331
Received: 30 January 2021 / Revised: 10 February 2021 / Accepted: 16 February 2021 / Published: 18 February 2021
In this paper, we establish generalized sampling theorems, generalized stability theorems and new inequalities in the setting of shift-invariant subspaces of Lebesgue and Wiener amalgam spaces with mixed-norms. A convergence theorem of general iteration algorithms for sampling in some shift-invariant subspaces of Lp(Rd) are also given. View Full-Text
Keywords: mixed-norm Lebesgue space; mixed-norm Wiener amalgam space; shift-invariant subspace; sampling theory; stability theory; iterative algorithm mixed-norm Lebesgue space; mixed-norm Wiener amalgam space; shift-invariant subspace; sampling theory; stability theory; iterative algorithm
MDPI and ACS Style

Zhao, J.; Kostić, M.; Du, W.-S. On Generalizations of Sampling Theorem and Stability Theorem in Shift-Invariant Subspaces of Lebesgue and Wiener Amalgam Spaces with Mixed-Norms. Symmetry 2021, 13, 331. https://doi.org/10.3390/sym13020331

AMA Style

Zhao J, Kostić M, Du W-S. On Generalizations of Sampling Theorem and Stability Theorem in Shift-Invariant Subspaces of Lebesgue and Wiener Amalgam Spaces with Mixed-Norms. Symmetry. 2021; 13(2):331. https://doi.org/10.3390/sym13020331

Chicago/Turabian Style

Zhao, Junjian, Marko Kostić, and Wei-Shih Du. 2021. "On Generalizations of Sampling Theorem and Stability Theorem in Shift-Invariant Subspaces of Lebesgue and Wiener Amalgam Spaces with Mixed-Norms" Symmetry 13, no. 2: 331. https://doi.org/10.3390/sym13020331

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