Tauberian theory for distributions. Boundary properties of holomorphic functions. Asymptotic properties of solutions of differential equations. Automodel asymptotic in quantum field theory.
Main publications:
Zavyalov B. I. Ob asimptoticheskikh svoistvakh funktsii, golomorfnykh v trubchatykh konusakh // Matematicheskii sbornik, 1988, 136 (178), # 1 (5).
Vladimirov V. S., Drozhzhinov Yu. N., Zavyalov B. I. Mnogomernye tauberovy teoremy dlya obobschennykh funktsii. Moskva: Nauka, 1986.
Drozhzhinov Yu. N., Zavyalov B. I. Teoremy tauberova tipa dlya obobschennoi multiplikativnoi svertki // Izvestiya RAN, ser. matem., 2000, 64 (1), 37–94.
