The Fourier Type Expansions on Tubes
Weixiong Mai, Tao Qian
TL;DR
This paper explores rational approximation of finite energy functions in several complex and real variables, focusing on Hardy spaces on tubes within the context of reproducing kernel Hilbert spaces.
Contribution
It advances the understanding of rational approximation in Hardy spaces on tubes, connecting recent RKHS developments with complex analysis.
Findings
New approximation techniques for Hardy spaces on tubes
Connections established between RKHS theory and rational approximation
Potential applications in complex analysis and signal processing
Abstract
In view of recent developments of the study of reproducing kernel Hilbert spaces, in particular with the context the Hardy spaces on tubes, aspects of rational approximation for functions of finite energy in several complex and several real variables are developed.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Mathematical Analysis and Transform Methods · Spectral Theory in Mathematical Physics