Výsledky vyhledávání - "Nazaikinskii, V E"

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Asymptotics of the counting function of $k$-th power-free elements in an arithmetic semigroup

Autor: Chernyshev, V. L., Minenkov, D. S., Nazaikinskii, V. E.

For any $k>1$, we find the asymptotics of the counting function of $k$-th power-free elements in an additive arithmetic semigroup with exponential growth of the abstract prime counting function. This paper continues the authors' earlier research deal

Externí odkaz: http://arxiv.org/abs/1604.03509

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New formulas for Maslov's canonical operator in a neighborhood of focal points and caustics in 2D semiclassical asymptotics

Autor: Dobrokhotov, S. Yu., Makrakis, G., Nazaikinskii, V. E., Tudorovskii, T. Ya.

We suggest a new representation of Maslov's canonical operator in a neighborhood of the caustics using a special class of coordinate systems ("eikonal coordinates") on Lagrangian manifolds. The specific features of the two-dimensional case are consid

Externí odkaz: http://arxiv.org/abs/1308.0182

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Relative index theorem in K-homology

Autor: Nazaikinskii, V. E.

We prove an analog of Gromov--Lawson type relative index theorems for K-homology classes.
Comment: 5 pages. Submitted to Funktsional'nyi Analiz i Ego Prilozheniya

Externí odkaz: http://arxiv.org/abs/1307.2833

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On a KK-theoretic counterpart of relative index theorems

Autor: Nazaikinskii, V. E.

Relative index theorems, which deal with what happens with the index of elliptic operators when cutting and pasting, are abundant in the literature. It is desirable to obtain similar theorems for other stable homotopy invariants, not the index alone.

Externí odkaz: http://arxiv.org/abs/1307.2770

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Fourier integrals and a new representation of Maslov's canonical operator near caustics

Autor: Dobrokhotov, S. Yu., Makrakis, G., Nazaikinskii, V. E.

We suggest a new representation of Maslov's canonical operator in a neighborhood of the caustics using a special class of coordinate systems ("eikonal coordinates") on Lagrangian manifolds.
Comment: 19 pages. Submitted to the Proceedings of the

Externí odkaz: http://arxiv.org/abs/1307.2292

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The Aharonov-Bohm effect for massless Dirac fermions and the spectral flow of Dirac type operators with classical boundary conditions

Autor: Katsnelson, M. I., Nazaikinskii, V. E.

Publikováno v: Teoret. Mat. Fiz. 172:3 (2012) 437-453; Theoret. Math. Phys. 172:3 (2012) 1263-1277

We compute, in topological terms, the spectral flow of an arbitrary family of self-adjoint Dirac type operators with classical (local) boundary conditions on a compact Riemannian manifold with boundary under the assumption that the initial and termin

Externí odkaz: http://arxiv.org/abs/1204.2276

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