Mathematics – Spectral Theory
Scientist
Mathematics
Spectral Theory
Scientist
St. Petersburg University
Boundary triplets and M-functions for non-selfadjoint operators, with applications to elliptic PDEs and block operator matrices
Decay bounds on eigenfunctions and the singular spectrum of unbounded Jacobi matrices
Discrete spectrum in a critical coupling case of Jacobi matrices with spectral phase transitions by uniform asymptotic analysis
Generalized Polar Decompositions for Closed Operators in Hilbert Spaces and Some Applications
Localization near fluctuation boundaries via fractional moments and applications
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