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Parameter-dependent operators and resolvent expansions on conic manifolds. (English) Zbl 1027.58021
Author’s summary: The goal of this paper is to present, from \(b\)-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 of pseudodifferential operators is developed and studied.

MSC:
58J40 Pseudodifferential and Fourier integral operators on manifolds
58J37 Perturbations of PDEs on manifolds; asymptotics
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