V. Ivrii

activity

20052023

most cited100 years of Weyl's law

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

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16 papers · 1 filter

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.AP2016

Spectral Asymptotics for Magnetic Schroedinger Operator

Victor Ivrii

In this article we obtain eigenvalue asymptotics for 2D and 3D-Schroedinger, Schroedinger-Pauli and Dirac operators in the situations in which the role of the magnetic field is imp…

math.AP2010

Operators with Periodic Hamiltonian Flows in Domains with the Boundary

Victor Ivrii

We consider operators in the domains with the boundaries and derive sharp spectral asymptotics (containing non-Weyl correction) in the case when Hamiltonian flow is periodic. Even…

math.AP2010

Short Loops and Pointwise Spectral Asymptotics

Victor Ivrii

We consider pointwise semiclassical spectral asymptotics i.e. asymptotics of $e (x, x, 0)$ as $h \to + 0$ where $e (x, y, τ)$ is the Schwartz kernel of the spectral projector and consider…

math.AP2007

Sharp Spectral Asymptotics for Dirac Energy. II. Magnetic Schroedinger operator

Victor Ivrii

I derive sharp semiclassical asymptotics of \int |e_h(x,y,0)|^2ω(x,y)dxdy where e_h(x,y,τ) is the Schwartz kernel of the spectral projector of Magnetic Schroedinger operator and ω(…

math.AP2007

Sharp Spectral Asymptotics for Dirac Energy

Victor Ivrii

I derive sharp semiclassical asymptotics of $\int ∣ e_{h} (x, y, 0) ∣^{2} ω (x, y) d x d y$ where $e_{h} (x, y, τ)$ is the Schwartz kernel of the spectral projector and $ω (x, y)$ is singular as $x = y$ .…