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

27 papers

math.SP2023

Pointwise Spectral Asymptotics near Singularity

Victor Ivrii

We establish semiclassical asymptotics and estimates for the $e_{h} (x, x; τ)$ where $e_{h} (x, y, τ)$ is the Schwartz kernel of the spectral projector for a second order elliptic operator i…

math.SP2021★ 3 cited

Pointwise Spectral Asymptotics out of the Diagonal near Boundary

Victor Ivrii

We establish semiclassical asymptotics and estimates for the Schwartz kernel $e_{h} (x, y; τ)$ of spectral projector for a second order elliptic operator on the manifold with a boundary…

math.AP2021★ 1 cited

Pointwise Spectral Asymptotics out of the Diagonal near Degeneration

Victor Ivrii

We establish uniform (with respect to $x$ , $y$ ) semiclassical asymptotics and estimates for the Schwartz kernel $e_{h} (x, y; τ)$ of spectral projector for a second order elliptic opera…

math.HO2020

Mikhail Aleksandrovich Shubin. December 19, 1944 -- May 13, 2020

Maxim Braverman, Arnold Dikansky, Leonid Friedlander +8

The article is dedicated to thye memory of a distinguished mathematician Professor Misha Shubin

math.SP2019

Bethe-Sommerfeld conjecture in semiclassical settings

Victor Ivrii

Under certain assumptions (including $d \geq 2)$ we prove that the spectrum of a scalar operator in $L^{2} (R^{d})$ \begin{equation*} A_\varepsilon (x,hD)= A^0(hD) + \v…

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…