V. Ivrii

activity

20052023

most cited100 years of Weyl's law

83 citations · 109 across the 27 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.SP2018

Complete Differentiable Semiclassical Spectral Asymptotics

Victor Ivrii

For an operator $A := A_{h} = A^{0} (h D) + V (x, h D)$ with a "potential" $V$ decaying as $∣ x ∣ \to \infty$ we establish under certain assumptions the complete and differentiable with respect…

math.SP2018

Complete Semiclassical Spectral Asymptotics for Periodic and Almost Periodic Perturbations of Constant Operators

Victor Ivrii

Under certain assumptions we derive a complete semiclassical asymptotics of the spectral function $e_{h, ε} (x, x, λ)$ for a scalar operator \begin{equation*} A_\varepsilon (…

math.SP2018★ 3 cited

Spectral asymptotics for Dirichlet to Neumann operator

Victor Ivrii

We consider eigenvalues of the Dirichlet-to-Neumann operator for Laplacian in the domain (or manifold) with edges and establish the asymptotics of the eigenvalue counting function…