Asymptotic methods in differential equations and mathematical physics, asymptotic methods in statistics of many-particle systems, elliptic operators, index theory
Main publications:
S. Yu. Dobrokhotov, V. E. Nazaikinskii, A. I. Shafarevich, “New integral representations of Maslov's canonical operator in singular charts”, Izv. RAN. Ser. Mat., 81:2 (2017), 53–96
D. S. Minenkov, V. E. Nazaikinskii, V. L. Chernyshev, “On the Asymptotics of the Element Counting Function in an Additive Arithmetic Semigroup with Exponential Counting Function of Prime Generators”, Funktsional. Anal. i Prilozhen., 50:4 (2016), 55–75; Funct. Anal. Appl., 50:4 (2016), 291–307
V. E. Nazaikinskii, “The Maslov Canonical Operator on Lagrangian Manifolds in the Phase Space Corresponding to a Wave Equation Degenerating on the Boundary”, Mat. Zametki, 96:2 (2014), 261–276; Math. Notes, 96:2 (2014), 248–260
M. I. Katsnel'son, V. E. Nazaikinskii, “The Aharonov–Bohm effect for massless Dirac fermions and the spectral flow of Dirac-type operators with classical boundary conditions”, TMF, 172:3 (2012), 437–453; Theoret. and Math. Phys., 172:3 (2012), 1263–1277
V. E. Nazaikinskii, B. Yu. Sternin, “The Index Locality Principle in Elliptic Theory”, Funktsional. Anal. i Prilozhen., 35:2 (2001), 37–52; Funct. Anal. Appl., 35:2 (2001), 111–123
