Persons: Popov, Dmitrii Aleksandrovich

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Popov, Dmitrii Aleksandrovich

Statistics Math-Net.Ru
Total publications:	28
Scientific articles:	28
Presentations:	23

Number of views:
This page:	3658
Abstract pages:	13721
Full texts:	4767
References:	1833

Senior Researcher

Doctor of physico-mathematical sciences (1999)

https://www.mathnet.ru/eng/person8589

List of publications on Google Scholar

https://mathscinet.ams.org/mathscinet/MRAuthorID/204356

	Publications in Math-Net.Ru	Citations
	2024
1.	D. A. Popov, “Voronoi's formulae and the Gauss problem”, Uspekhi Mat. Nauk, 79:1(475) (2024), 59–134 ; Russian Math. Surveys, 79:1 (2024), 53–126
	2022
2.	M. A. Korolev, D. A. Popov, “On Jutila's integral in the circle problem”, Izv. RAN. Ser. Mat., 86:3 (2022), 3–46 ; Izv. Math., 86:3 (2022), 413–455	2
3.	D. A. Popov, “Spectrum of the Laplace operator on closed surfaces”, Uspekhi Mat. Nauk, 77:1(463) (2022), 91–108 ; Russian Math. Surveys, 77:1 (2022), 81–97	1
4.	D. A. Popov, D. V. Sushko, “Numerical investigation of the properties of remainder in Gauss's circle problem”, Zh. Vychisl. Mat. Mat. Fiz., 62:12 (2022), 2002–2017 ; Comput. Math. Math. Phys., 62:12 (2022), 2008–2022	1
	2020
5.	D. A. Popov, “Distribution of prime numbers and the discrete spectrum of the Laplace operator”, Izv. RAN. Ser. Mat., 84:5 (2020), 151–168 ; Izv. Math., 84:5 (2020), 960–977
	2019
6.	D. A. Popov, “On relationships between the discrete and resonance spectra for the Laplace operator on a non-compact hyperbolic Riemann surface”, Funktsional. Anal. i Prilozhen., 53:3 (2019), 61–78	1
7.	D. A. Popov, “The discrete spectrum of the Laplace operator on the fundamental domain of the modular group and the Chebyshev psi-function”, Izv. RAN. Ser. Mat., 83:5 (2019), 167–180 ; Izv. Math., 83:5 (2019), 1066–1079	2
8.	D. A. Popov, “Circle problem and the spectrum of the Laplace operator on closed 2-manifolds”, Uspekhi Mat. Nauk, 74:5(449) (2019), 145–162 ; Russian Math. Surveys, 74:5 (2019), 909–925	4
	2016
9.	D. A. Popov, “Bounds and behaviour of the quantities $P(x)$, $\Delta(x)$ on short intervals”, Izv. RAN. Ser. Mat., 80:6 (2016), 230–246 ; Izv. Math., 80:6 (2016), 1213–1230	3
	2014
10.	D. A. Popov, “On the Weyl Formula for the Laplace Operator on Hyperbolic Riemann Surfaces”, Funktsional. Anal. i Prilozhen., 48:2 (2014), 93–96 ; Funct. Anal. Appl., 48:2 (2014), 150–153	1
	2013
11.	D. A. Popov, “On the Selberg Trace Formula for Strictly Hyperbolic Groups”, Funktsional. Anal. i Prilozhen., 47:4 (2013), 53–66 ; Funct. Anal. Appl., 47:4 (2013), 290–301	4
	2012
12.	D. A. Popov, “Explicit Formula for the Spectral Counting Function of the Laplace Operator on a Compact Riemannian Surface of Genus $g>1$”, Funktsional. Anal. i Prilozhen., 46:2 (2012), 66–82 ; Funct. Anal. Appl., 46:2 (2012), 133–146	3
	2011
13.	D. A. Popov, “On the second term in the Weyl formula for the spectrum of the Laplace operator on the two-dimensional torus and the number of integer points in spectral domains”, Izv. RAN. Ser. Mat., 75:5 (2011), 139–176 ; Izv. Math., 75:5 (2011), 1007–1045	2
	2009
14.	D. A. Popov, “Asymptotic behaviour of the positive spectrum of a family of periodic Sturm–Liouville problems under continuous passage from a definite problem to an indefinite one”, Izv. RAN. Ser. Mat., 73:3 (2009), 151–182 ; Izv. Math., 73:3 (2009), 579–610	1
	2008
15.	D. A. Popov, “Remarks on uniform combined estimates of oscillatory integrals with simple singularities”, Izv. RAN. Ser. Mat., 72:4 (2008), 173–196 ; Izv. Math., 72:4 (2008), 793–816	4
	2004
16.	D. A. Popov, D. V. Sushko, “Image Restoration in Optical Acoustic Tomography”, Probl. Peredachi Inf., 40:3 (2004), 81–107 ; Problems Inform. Transmission, 40:3 (2004), 254–278	17
	2003
17.	D. A. Popov, “The Paley–Wiener Theorem for the Generalized Radon Transform on the Plane”, Funktsional. Anal. i Prilozhen., 37:3 (2003), 65–72 ; Funct. Anal. Appl., 37:3 (2003), 215–220	1
	2001
18.	D. A. Popov, “The Generalized Radon Transform on the Plane, the Inverse Transform, and the Cavalieri Conditions”, Funktsional. Anal. i Prilozhen., 35:4 (2001), 38–53 ; Funct. Anal. Appl., 35:4 (2001), 270–283	10
	2000
19.	D. A. Popov, “On the number of lattice points in three-dimensional solids of revolution”, Izv. RAN. Ser. Mat., 64:2 (2000), 121–140 ; Izv. Math., 64:2 (2000), 343–361	6
	1998
20.	D. A. Popov, “Reconstruction of characteristic functions in two-dimensional Radon tomography”, Uspekhi Mat. Nauk, 53:1(319) (1998), 115–198 ; Russian Math. Surveys, 53:1 (1998), 109–193	9
21.	D. A. Popov, “Spherical convergence of the Fourier integral of the indicator function of an $N$-dimensional domain”, Mat. Sb., 189:7 (1998), 145–157 ; Sb. Math., 189:7 (1998), 1101–1113	4
	1997
22.	D. A. Popov, “Estimates with constants for some classes of oscillatory integrals”, Uspekhi Mat. Nauk, 52:1(313) (1997), 77–148 ; Russian Math. Surveys, 52:1 (1997), 73–145	17
23.	D. A. Popov, “Spherical convergence of the Fourier series and integral of the indicator of a two-dimensional domain”, Trudy Mat. Inst. Steklova, 218 (1997), 354–373 ; Proc. Steklov Inst. Math., 218 (1997), 352–371	6
	1990
24.	D. A. Popov, D. V. Sushko, “Convergence of algorithms for the numerical solution of a convolution equation”, Dokl. Akad. Nauk SSSR, 315:2 (1990), 309–313 ; Dokl. Math., 42:3 (1991), 784–788	2
	1984
25.	D. A. Popov, “Application of smooth regularizers for convolution computation”, Dokl. Akad. Nauk SSSR, 276:1 (1984), 38–42	2
	1975
26.	D. A. Popov, L. I. Daikhin, “Einstein spaces and Yang–Mills fields”, Dokl. Akad. Nauk SSSR, 225:4 (1975), 790–793
27.	D. A. Popov, “Theory of Yang–Mills fields”, TMF, 24:3 (1975), 347–356 ; Theoret. and Math. Phys., 24:3 (1975), 879–885	17

Presentations in Math-Net.Ru

1.	Resonances and the discrete spectrum of the Laplace operator on hyperbolic surfaces (continuation) D. A. Popov Seminar on Complex Analysis (Gonchar Seminar) February 3, 2025 17:00
2.	Resonances and the discrete spectrum of the Laplace operator on hyperbolic surfaces D. A. Popov Seminar on Complex Analysis (Gonchar Seminar) January 27, 2025 17:00
3.	Резонансы и дискретный спектр оператора Лапласа на гиперболических поверхностях D. A. Popov Memorial conference dedicated to the memory of A. N. Parshin November 12, 2024 16:50
4.	Numerical investigation of the basic properties of the residual term in the circle problem D. A. Popov, D. V. Sushko Seminar on Complex Analysis (Gonchar Seminar) December 6, 2021 17:00
5.	Распределение простых чисел и спектр оператора Лапласа D. A. Popov Contemporary Problems in Number Theory February 20, 2020 12:45
6.	Дискретный спектр оператора Лапласа и пси-функция Чебышёва D. A. Popov Contemporary Problems in Number Theory February 22, 2018 12:45
7.	On the function $P(x)$ D. A. Popov А.A.Karatsuba's 80th Birthday Conference in Number Theory and Applications May 25, 2017 15:15
8.	On the spectrum of the Laplace operator on the two-dimensional surfaces D. A. Popov Seminar on Complex Analysis (Gonchar Seminar) May 16, 2016 17:00
9.	On a discrete spectrum of Laplace operator on the fundamental domain of modular group and Chebyshev's function D. A. Popov Conference to the Memory of Anatoly Alekseevitch Karatsuba on Number theory and Applications January 29, 2016 15:00
10.	Формула Сельберга для кофинитных групп и гипотеза Рельке D. A. Popov Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) July 1, 2015 14:00
11.	On the behavior of the function $P(x)$ on short intervals D. A. Popov Conference in memory of A. A. Karatsuba on number theory and applications, 2015 January 30, 2015 13:00
12.	On Weyl formula for the Laplace operator over the compact surfaces D. A. Popov Conference in memory of A. A. Karatsuba on number theory and applications January 31, 2014 13:00
13.	О спектре оператора Лапласа на римановых поверхностях D. A. Popov I. M. Gelfand and Modern Mathematics December 18, 2013 11:50
14.	On the spectrum of the Laplace operator on Riemann surfaces D. A. Popov Seminar on Complex Analysis (Gonchar Seminar) December 9, 2013 18:00
15.	Локальные моменты в проблемах делителей и круга D. A. Popov Contemporary Problems in Number Theory October 10, 2013 12:45
16.	О формуле Вейля для оператора Лапласа на компактных замкнутых римановых многообразиях D. A. Popov Contemporary Problems in Number Theory April 18, 2013 12:45
17.	О втором члене в формуле Вейля для оператора Лапласа на замкнутом двумерном римановом многообразии D. A. Popov Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) April 17, 2013 18:30
18.	On the Weyl formula for the Laplace operator on a closed two-dimensional Riemannian manifold D. A. Popov Seminar on Arithmetic Algebraic Geometry May 23, 2012 12:00
19.	О формуле Вейля для оператора Лапласа на римановых поверхностях D. A. Popov Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS May 3, 2012 11:00
20.	О втором члене в формуле Вейля на компактных римановых поверхностях D. A. Popov Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS April 11, 2012 14:00
21.	О формуле Вейля для оператора Лапласа на компактных римановых поверхностях D. A. Popov Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics November 30, 2011 16:00
22.	On Weyl formula for spectrum of the Laplace operator on compact Riemann surfaces D. A. Popov Complex analysis and mathematical physics April 25, 2011 16:00
23.	Eplicit formulas for functions on a spectrum of Laplace operator on hyperbolic Riemann surfaces D. A. Popov Riemann surfaces, Lie algebras and mathematical physics March 18, 2011 17:00

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