On the Finite Dimensionality of Spaces of Absolutely Convergent Fourier Transforms
Bj\"orn G. Walther
TL;DR
This paper extends previous results on the finite dimensionality of spaces of absolutely convergent Fourier transforms, providing new insights into their structure and limitations.
Contribution
It generalizes earlier findings by K. Karlander, advancing understanding of the finite dimensionality in Fourier analysis.
Findings
Extended the class of Fourier transform spaces known to be finite dimensional.
Provided new conditions under which these spaces are finite dimensional.
Enhanced theoretical understanding of Fourier transform spaces.
Abstract
We extend the result of K. Karlander [Math. Scand. 80 (1997)] regarding finite dimensionality of spaces of absolutely convergent Fourier transforms.
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Taxonomy
TopicsMathematical Analysis and Transform Methods · advanced mathematical theories · Advanced Banach Space Theory