A pseudodifferential calculus is built on filtered manifolds via local quantization of operator-valued symbols on osculating group duals, with proofs of composition, adjoint, parametrices and Sobolev continuity, coinciding with the van Erp-Yuncken groupoid calculus in the polyhomogeneous case.
Semi-classical analysis, arXiv:2407.01998
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.FA 1years
2024 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Quantization on filtered manifolds
A pseudodifferential calculus is built on filtered manifolds via local quantization of operator-valued symbols on osculating group duals, with proofs of composition, adjoint, parametrices and Sobolev continuity, coinciding with the van Erp-Yuncken groupoid calculus in the polyhomogeneous case.