Parameter-dependent Edge Operators
C.-I. Martin, and B.-W. Schulze
TL;DR
This paper introduces new classes of elliptic edge operators on manifolds with corners, expanding the mathematical framework for analyzing parameter-dependent operators on singular spaces.
Contribution
It constructs novel elliptic elements within the corner calculus on infinite cones with singular bases, advancing the theory of edge operators.
Findings
Developed a new class of elliptic edge operators.
Extended the corner calculus to include parameter-dependent elements.
Provided a framework for analyzing operators on manifolds with corners.
Abstract
We study parameter-dependent operators on a manifold with edge and construct new classes of elliptic elements in the corner calculus on an infinite cone with a singular base
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Taxonomy
TopicsHolomorphic and Operator Theory · Spectral Theory in Mathematical Physics · Algebraic and Geometric Analysis