A deconvolution estimate and localization in spline-type spaces
Jos\'e Luis Romero
TL;DR
This paper provides explicit decay estimates for the inverse of sequences in spline-type spaces, utilizing Sobolev algebra calculus, with applications in localization and oversampling schemes.
Contribution
It introduces new explicit decay estimates for convolutive inverses in spline-type spaces using Sobolev algebra functional calculus.
Findings
Derived explicit decay bounds for sequence inverses.
Applied estimates to localization in spline-type spaces.
Extended results to oversampling schemes.
Abstract
In this article some explicit estimates on the decay of the convolutive inverse of a sequence are proved. They are derived from the functional calculus for Sobolev algebras. Applications include localization in spline-type spaces and oversampling schemes.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsMathematical Analysis and Transform Methods · Advanced Numerical Analysis Techniques · Seismic Imaging and Inversion Techniques