Professor of the Tula State University, Department of the Applied Mathematics and Informatics

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Education:

→ 1968-1973 – Faculty of Mechanics and Mathematics, Lomonosov Moscow State University

→ 1973-1976 – graduate school of the Steklov Institute, USSR, advisor S.B. Stechkin

→ 1977 – PhD Thesis "Direct and inverse theorems of approximation theory in the spaces \(L_p\), \(0 < p < 1\)" (Steklov Institute, USSR)

→ 1994 – Dr. Sci. Thesis "Representation and the approximation of the functions on average" (Steklov Institute, USSR)

Research Interests:

Extremal problems of theory of functions and approximation theory, harmonic analysis in the spaces with weight and its applications in theory of functions and approximation theory.

Honors and Awards:

→ Medal of the Order "For Merit to the Fatherland", first and second class (2005, 2000)

→ The badge "Honorary Worker of Higher Professional Education (2002)

→ Medal of the Ministry of Education "For contribution to the implementation of the state policy in the field of education" (2021)

→ The prize winner of Mosin's award (2002)

Publications (recent):

2023

→ V.I. Ivanov, "Nondeformed Generalized Dunkl transform on the Line", Math. Notes, 114:4 (2023), 443–456, DOI.

→ D.V. Gorbachev, V.I. Ivanov, "Logan–Hermite Extremal Problems for Entire Functions of Exponential Type", Math. Notes, 113:1 (2023), 143–148, DOI.

→ V.I. Ivanov, "Riesz Transform for the One-Dimensional \((k,1)\)-Generalized Fourier Transform", Math. Notes, 113:3 (2023), 356–367, DOI.

2022

→ V.I. Ivanov, "Lebegue boundedness of Riesz potential for \((k, 1)\)-Generalized Fourier transform with radial piecewise power weights", Chebyshevskii Sb., 23:4(2022), 92-104, DOI.

→ V.I. Ivanov, "Generalized Yudin Extremal Problems for Polynomials", Chebyshevskii Sb., 23:4(2022), 105-114, DOI.

2021

→ D.V. Gorbachev, V.I. Ivanov, S.Yu. Tikhonov, "Riesz Potential and Maximal Function for Dunkl Transform", Potential Analysis, 55:4 (2021), 513–538, DOI.

→ V.I. Ivanov, "Chebyshev's Problem of the Moments of Nonnegative Polynomials", Math. Notes, 110:6 (2021), 903–915, DOI.

→ V.I. Ivanov, "Yudin–Hermite Extremal Problems for Polynomials", Math. Notes, 110:5 (2021), 799–805, DOI.

→ V.I. Ivanov, "Properties and application of a positive translation operator for \((k,1)\)-Generalized Fourier transform", Chebyshevskii Sb., 22:4 (2021), 136–152, DOI.

→ V.I. Ivanov, "Riesz potential for \((k,1)\)-generalized Fourier transform", Chebyshevskii Sb., 22:4 (2021), 114–135, DOI.

→ V.I. Ivanov, "Inequalities for Dunkl–Riesz transforms and Dunkl gradient with radial piecewise power weights", Chebyshevskii Sb., 22:3 (2021), 122–132, DOI.

→ N.N. Dobrovol'skii, D.V. Gorbachev, V.I. Ivanov, "About three-dimensional nets of Smolyak II", Chebyshevskii Sb., 22:3 (2021), 100–121, DOI.

2020

→ D. Gorbachev, V. Ivanov, S. Tikhonov, "Uncertainty principles for eventually constant sign bandlimited functions", SIAM Journal on Mathematical Analysis, 52:5 (2020), 4751–4782, DOI.

→ D.V. Gorbachev, V.I. Ivanov, S.Yu. Tikhonov, "Sharp approximation theorems and Fourier inequalities in the Dunkl setting", Journal of Approximation Theory, 258 (2020), 105462, DOI.

→ V.I. Ivanov, "Extremal Values of Moments of Nonnegative Polynomials", Math. Notes, 108:4 (2020), 611–614, DOI.

→ V.I. Ivanov, "Chebyshev's problem on extremal values of moments of nonnegative algebraic polynomials", Trudy Inst. Mat. i Mekh. UrO RAN, 26:4 (2020), 138–154, DOI.

→ V.I. Ivanov, "Weighted inequalities for Dunkl–Riesz transforms and Dunkl gradient", Chebyshevskii Sb., 21:4 (2020), 97–106, DOI.

→ V.I. Ivanov, "Bounded translation operator for the \((k,1)\)-generalized Fourier transform", Chebyshevskii Sb., 21:4 (2020), 85–96, DOI.

2019

→ D.V. Gorbachev, V.I. Ivanov, S.Yu. Tikhonov, "Positive \(L_p\)-Bounded Dunkl-Type Generalized Translation Operator and Its Applications", Constructive Approximation, 49:3 (2019), 555–605, DOI.

→ D.V. Gorbachev, V.I. Ivanov, "Turán, Fejér and Bohman extremal problems for the multivariate Fourier transform in terms of the eigenfunctions of a Sturm-Liouville problem", Sb. Math., 210:6 (2019), 809–835, DOI.

→ D.V. Gorbachev, V.I. Ivanov, "Fractional Smoothness in \(L_p\) with Dunkl Weight and Its Applications", Math. Notes, 106:4 (2019), 537–561, DOI.

→ D.V. Gorbachev, V.I. Ivanov, "A Sharp Jackson Inequality in \(L_p(\mathbb R^d)\) with Dunkl Weight", Math. Notes, 105:5 (2019), 657–673, DOI.

→ D.V. Gorbachev, V.I. Ivanov, "Nikol’skii-Bernstein constants for entire functions of exponential spherical type in weighted spaces", Trudy Inst. Mat. i Mekh. UrO RAN, 25:2 (2019), 75–87, DOI.

→ N.N. Dobrovol'skii, D. V. Gorbachev, V. I. Ivanov, "About three-dimensional nets of Smolyak I", Chebyshevskii Sb., 20:3 (2019), 193–219, DOI.

→ D.V. Gorbachev, V.I. Ivanov, "Muckenhoupt conditions for piecewise-power weights in Euclidean space with Dunkl measure", Chebyshevskii Sb., 20:2 (2019), 82–92, DOI.

→ D.V. Gorbachev, V.I. Ivanov, "Weighted inequalities for Dunkl–Riesz potential", Chebyshevskii Sb., 20:1 (2019), 131–147, DOI.

2018

→ V. Ivanov, A. Ivanov, "Generalized Logan’s Problem for Entire Functions of Exponential Type and Optimal Argument in Jackson’s Inequality in \(L_2(\mathbb{R}^3)\)", Acta Mathematica Sinica, English Series, 34:10 (2018), 1563-1577, DOI.

→ D.V. Gorbachev, V.I. Ivanov, "Turán’s and Fejér’s Extremal Problems for Jacobi Transform", Analysis Mathemaica, 44:4 (2018), 419–432, DOI.

→ V.I. Ivanov, "Pointwise Turán problem for periodic positive definite functions", Trudy Inst. Mat. i Mekh. UrO RAN, 24:4 (2018), 156–175, DOI.

→ D.V. Gorbachev, V.I. Ivanov, "On the doubling condition for non-negative positive definite functions on on the half-line with power weight", Chebyshevskii Sb., 19:2 (2018), 90–100, DOI.

→ D.V. Gorbachev, V.I. Ivanov, E.P. Ofitserov, O.I. Smirnov, "The second Logan extremal problem for the Fourier transform over the eigenfunctions of the Sturm–Liouville operator", Chebyshevskii Sb., 19:1 (2018), 57–78, DOI.