Speciality:
01.01.03 (Mathematical physics)
Birth date:
10.02.1957
E-mail: ,
Keywords: periodic Schrodinger and Dirac operators; almost periodic functions; selectors of multivalued maps.
Subject:
The absolute continuity of the spectra of periodic Schrodinger and Dirac operators is investigated under various conditions on electric $V$ and magnetic $A$ potentials. A number of papers were devoted to almost periodic measure-valued functions and almost periodic selectors of multivalued maps.
Main publications:
Danilov L. I. Otsenki yadra Puassona dlya trubchatoi oblasti nad ostrym konusom // Doklady AN SSSR. 1991, 316 (4), 805–807.
Danilov L. I. Meroznachnye pochti periodicheskie funktsii i pochti periodicheskie secheniya mnogoznachnykh otobrazhenii // Matem. sbornik. 1997, 188 (10), 3–24.
Danilov L. I. O pochti periodicheskikh meroznachnykh funktsiyakh // Matem. sbornik. 2000, 191 (12), 27–50.
Danilov L. I. Ob otsutstvii sobstvennykh znachenii v spektre obobschennogo dvumernogo periodicheskogo operatora Diraka // Algebra i analiz. 2005, 17 (3), 47–80.
Danilov L. I. On absolute continuity of the spectrum of three- and four-dimensional periodic Schrodinger operators // J. Phys. A: Math. Theor. 2010, 43, 215201.
ISTINA
