On Multipliers and completely bounded Multipliers -- the case SL(2,R)
Viktor Losert
TL;DR
This paper investigates the properties of multipliers in the Fourier algebra of SL(2,R), establishing that all bounded multipliers are necessarily completely bounded, which deepens understanding of harmonic analysis on this group.
Contribution
It proves that in the Fourier algebra of SL(2,R), every bounded multiplier is also completely bounded, a significant result in harmonic analysis.
Findings
All bounded multipliers are completely bounded in the Fourier algebra of SL(2,R)
Enhances understanding of multiplier properties in non-abelian groups
Provides a foundation for further analysis of harmonic analysis on SL(2,R)
Abstract
For the Fourier Algebra of SL(2,R) any bounded multiplier is completely bounded.
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Taxonomy
TopicsMathematical Analysis and Transform Methods · Spectral Theory in Mathematical Physics · advanced mathematical theories