Adaptive Decompositions in Monogenic Reproducing Kernel Hilbert Spaces of Paley–Wiener Type

In the Clifford algebra setting, the present study develops efficient approximations by linear combinations of the parameterized kernel functions in monogenic reproducing kernel Hilbert spaces of Paley–Wiener type, which include the Paley–Wiener space, the Hardy space on strips, and the Bergman spac...

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Bibliographic Details
Published inComplex analysis and operator theory Vol. 16; no. 7
Main Authors Dang, Pei, Mai, Weixiong, Qian, Tao
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.10.2022
Springer Nature B.V
Subjects
Analysis
Higher Dimensional Geometric Function Theory and Hypercomplex Analysis
Hilbert space
Kernel functions
Mathematics
Mathematics and Statistics
Metric space
Operator Theory
Greedy algorithm
Reproducing kernel
Paley–Wiener theorem
Monogenic function
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Summary:In the Clifford algebra setting, the present study develops efficient approximations by linear combinations of the parameterized kernel functions in monogenic reproducing kernel Hilbert spaces of Paley–Wiener type, which include the Paley–Wiener space, the Hardy space on strips, and the Bergman space on strips.
ISSN:1661-8254
1661-8262
DOI:10.1007/s11785-022-01277-w