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 Chebyshevskii Sb., 2020, Volume 21, Issue 4, Pages 396–421 (Mi cheb886)

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On the scientific works of Dmitry Alexandrovich Popov

V. M. Buchstaber, M. A. Korolev

Steklov Mathematical Institute of Russian Academy of Sciences (Moscow)

Abstract: The present essay tells about the life and the scientific creativity of the brilliant Russian mathematician Dmitry Aleksandrovich Popov, who has celebrated his 80th anniversary in August, 2019. D.A. Popov made a considerable contribution to the mathematical foundations of the X-ray, ultrasonic and acoustic tomography, to the theory of the oscillating integrals estimations and to the problems concerning the distribution of lattice points in the plain circle and in the bodies of rotation. A special attention is paid to the recent results of the anniversarian that demonstrate a connection between the spectrum of Laplace operator on the fundamental domain of modular group with the distribution of primes.

Keywords: X-ray tomography, ultrasonic tomography, acoustic tomography, oscillating integrals, lattice points, circle problem, Laplace operator spectrum, prime numbers.

DOI: https://doi.org/10.22405/2226-8383-2018-21-4-396-421

Full text: PDF file (24924 kB)

UDC: 511.464
Accepted:22.10.2020

Citation: V. M. Buchstaber, M. A. Korolev, “On the scientific works of Dmitry Alexandrovich Popov”, Chebyshevskii Sb., 21:4 (2020), 396–421

Citation in format AMSBIB
\Bibitem{BukKor20} \by V.~M.~Buchstaber, M.~A.~Korolev \paper On the scientific works of Dmitry Alexandrovich Popov \jour Chebyshevskii Sb. \yr 2020 \vol 21 \issue 4 \pages 396--421 \mathnet{http://mi.mathnet.ru/cheb886} \crossref{https://doi.org/10.22405/2226-8383-2018-21-4-396-421}