The oscillatory biest operator
Cristina Benea, Itamar Oliveira
TL;DR
This paper proves the boundedness of a specific modulation-invariant trilinear operator that incorporates curvature information through a complex exponential, expanding the class of known such operators.
Contribution
It introduces a new example of a modulation-invariant trilinear operator with curvature, demonstrating its boundedness.
Findings
Established boundedness of the operator.
Expanded the class of modulation-invariant operators with curvature.
Provided techniques applicable to similar operators.
Abstract
We prove the boundedness of a trilinear operator that is modulation invariant and which contains curvature information given by the presence of a complex exponential, adding to the small class of examples of such operators.
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Taxonomy
TopicsNumerical methods in inverse problems · Approximation Theory and Sequence Spaces