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math.SP2026

Non-Elliptic Quadratic -Symmetric Operators and Similarity to Self-Adjoint Operators

Stepan Malkov

We prove a similarity result for non-self-adjoint non-elliptic quadratic -symmetric operators with real spectrum satisfying a dynamical averaging condition. In partic…

math.SP2026

Harmonic Approximation and Resolvent Estimates for Semiclassical Non-Self-Adjoint Operators

Stepan Malkov

We study resolvent estimates and bounds on the low lying spectrum for a broad class of non-self-adjoint non-elliptic -pseudodifferential operators with critical points. Imposing…