Paul Loya
Abstract
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The goal of this paper is to present, from the $b$-calculus perspective, a program for analyzing generalized resolvent families and heat kernels of pseudodifferential operators on conic manifolds. To carry this out, a new class of parameter-dependent cone pseudodifferential operators is developed and studied.
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The goal of this paper is to present, from the $b$-calculus perspective, a program for analyzing generalized resolvent families and heat kernels of pseudodifferential operators on conic manifolds. To carry this out, a new class of parameter-dependent cone pseudodifferential operators is developed and studied.
Key concepts: Resolvent, Pseudodifferential operators, Conic section, Mathematics, Class (philosophy), Perspective (graphical), Pure mathematics, Cone (formal languages)