Mapping properties of the Fourier transform in spaces with dominating mixed smoothness
Hans Triebel
TL;DR
This paper investigates how the Fourier transform behaves in function spaces characterized by dominating mixed smoothness, focusing on continuous and compact mappings.
Contribution
It provides new insights into the mapping properties of the Fourier transform within these specialized function spaces.
Findings
Characterization of Fourier transform mappings in mixed smoothness spaces
Conditions for continuity and compactness of these mappings
Implications for analysis in high-dimensional function spaces
Abstract
This paper deals with continuous and compact mappings of the Fourier transform in function spaces with dominating mixed smoothness.
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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · advanced mathematical theories · Mathematical Analysis and Transform Methods