Exponential bases on triangular domains
Laura De Carli, Alberto Mizrahi
TL;DR
This paper constructs explicit exponential bases for triangular domains in two-dimensional space and for infinite unions of segments on the real line, advancing the understanding of basis functions in these geometric settings.
Contribution
It introduces explicit exponential bases tailored for triangles and infinite unions of segments, providing new tools for analysis in these domains.
Findings
Explicit exponential bases for triangles in R^2
Exponential bases for infinite unions of segments
Enhanced basis construction methods for geometric domains
Abstract
We construct explicit exponential bases on triangles in R^2 and on infinite unions of segments on the real line.
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Taxonomy
TopicsAlgebraic and Geometric Analysis · Holomorphic and Operator Theory · Mathematical Analysis and Transform Methods