# zbMATH — the first resource for mathematics

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
Full Text: