Д. В. Горбачев

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All published works

Action	Title	Year	Authors
+	Multidimensional Weighted Inequalities for Entire Functions of Exponential Type	2024	Д. В. Горбачев
+	Многомерные весовые неравенства для целых функций экспоненциального типа	2024	Д. В. Горбачев
+	Logan’s problem for Jacobi transforms	2023	Д. В. Горбачев В. И. Иванов Sergey Tikhonov
+	Logan–Hermite Extremal Problems for Entire Functions of Exponential Type	2023	Д. В. Горбачев В. И. Иванов
+ PDF Chat	On the kernel of the -Generalized fourier transform	2023	Д. В. Горбачев В. И. Иванов Sergey Tikhonov
+	Logan-Hermite Extremal Problems for Entire Functions of Exponential Type	2022	Д. В. Горбачев В. И. Иванов
+	Bernstein Inequality in $$L^p$$ on the Line with Power Weight for $$p>0$$	2022	Д. В. Горбачев
+	On the kernel of the $(κ,a)$-generalized Fourier transform	2022	Д. В. Горбачев В. И. Иванов Sergey Tikhonov
+ PDF Chat	Delsarte problem for 4-designs on the unit 3-sphere	2022	Д. В. Горбачев Ivan Anatol’evich Martyanov
+ PDF Chat	Boas conjecture on the axis for the Fourier-Dunkl transform and its generalization	2022	Д. В. Горбачев
+ PDF Chat	Weighted Carleman inequality for fractional gradient	2022	Д. В. Горбачев
+	Some results for weighted Bernstein-Nikol’skii constants	2022	Д. В. Горбачев Н. Н. Добровольский
+	Bounds of the Nikol’skii Polynomial Constants in $$L^{p}$$ with Gegenbauer Weight	2021	Д. В. Горбачев Ivan Anatol’evich Martyanov
+ PDF Chat	Estimates of the asymptotic Nikolskii constants for spherical polynomials	2021	Feng Dai Д. В. Горбачев Sergey Tikhonov
+	Approximation by spherical polynomials in 𝐿𝑝 for 𝑝 < 1	2021	Д. В. Горбачев Н. Н. Добровольский
+ PDF Chat	Nikol’skii constants for compact homogeneous spaces	2021	Д. В. Горбачев
+	Logan's problem for Jacobi transform	2021	Д. В. Горбачев V. I. Ivanov Sergey Tikhonov
+	Nikol’skii–Bernstein Constants for Entire Functions of Exponential Spherical Type in Weighted Spaces	2020	Д. В. Горбачев В. И. Иванов
+	Sharp approximation theorems and Fourier inequalities in the Dunkl setting	2020	Д. В. Горбачев В. И. Иванов Sergey Tikhonov
+ PDF Chat	Riesz Potential and Maximal Function for Dunkl transform	2020	Д. В. Горбачев В. И. Иванов Sergey Tikhonov
+ PDF Chat	Weighted gradient inequalities and unique continuation problems	2020	Laura De Carli Д. В. Горбачев Sergey Tikhonov
+ PDF Chat	Nikolskii constants for polynomials on the unit sphere	2020	Feng Dai Д. В. Горбачев Sergey Tikhonov
+ PDF Chat	Uncertainty Principles for Eventually Constant Sign Bandlimited Functions	2020	Д. В. Горбачев В. И. Иванов Sergey Tikhonov
+ PDF Chat	Letter to the Editor	2020	Д. В. Горбачев Ivan Anatol’evich Martyanov
+	Sharp approximation theorems in the Dunkl setting	2019	Д. В. Горбачев В. И. Иванов Sergey Tikhonov
+ PDF Chat	Fractional Smoothness in Lp with Dunkl Weight and Its Applications	2019	Д. В. Горбачев В. И. Иванов
+	Nikolskii inequality for lacunary spherical polynomials	2019	Chang‐Feng Dai Д. В. Горбачев Sergey Tikhonov
+	Turán, Fejér and Bohman extremal problems for the multivariate Fourier transform in terms of the eigenfunctions of a Sturm-Liouville problem	2019	Д. В. Горбачев В. И. Иванов
+	A Sharp Jackson Inequality in Lp(ℝd) with Dunkl Weight	2019	Д. В. Горбачев В. И. Иванов
+	Turán, Fejér and Bohman extremal problems for the multivariate Fourier transform in terms of the eigenfunctions of a Sturm-Liouville problem	2019	Д. В. Горбачев V. I. Ivanov
+	Uncertainty principles for eventually constant sign bandlimited functions	2019	Д. В. Горбачев В. И. Иванов Sergey Tikhonov
+	Nikolskii inequality for lacunary spherical polynomials	2019	Chang‐Feng Dai Д. В. Горбачев Sergey Tikhonov
+	Estimates of the asymptotic Nikolskii constants for spherical polynomials	2019	Feng Dai Д. В. Горбачев Sergey Tikhonov
+	Sharp approximation theorems and Fourier inequalities in the Dunkl setting	2019	Д. В. Горбачев В. И. Иванов Sergey Tikhonov
+ PDF Chat	Extremal Nikolskii - Bernsteinand Turan-type problems for Dunkl transform	2019	Д. В. Горбачев N. N. Dobrovolsky
+	Muckenhoupt conditions for piecewise-power weights in Euclidean space with Dunkl measure	2019	Д. В. Горбачев В. И. Иванов
+	Turán’s and Fejér’s Extremal Problems for Jacobi Transform	2018	Д. В. Горбачев В. И. Иванов
+	Positive $$L^p$$ L p -Bounded Dunkl-Type Generalized Translation Operator and Its Applications	2018	Д. В. Горбачев В. И. Иванов Sergey Tikhonov
+ PDF Chat	Doubling condition at the origin for non-negative positive definite functions	2018	Д. В. Горбачев Sergey Tikhonov
+	Weighted gradient inequalities and unique continuation problems	2018	Laura De Carli Д. В. Горбачев Sergey Tikhonov
+	Bohman Extremal Problem for the Jacobi Transform	2018	Д. В. Горбачев V. I. Ivanov
+	Approximation in L2 by Partial Integrals of the Multidimensional Fourier Transform over the Eigenfunctions of the Sturm–Liouville Operator	2018	Д. В. Горбачев V. I. Ivanov Roman Veprintsev
+ PDF Chat	НЕКОТОРЫЕ ЭКСТРЕМАЛЬНЫЕ ЗАДАЧИ ГАРМОНИЧЕСКОГО АНАЛИЗА И ТЕОРИИ ПРИБЛИЖЕНИЙ	2018	Д. В. Горбачев Valeriy Ivanovich Ivanov Е. П. Офицеров О. И. Смирнов
+ PDF Chat	Weighted norm inequalities for integral transforms	2018	Д. В. Горбачев Elijah Liflyand Sergey Tikhonov
+	Fractional smoothness in $L^p$ with Dunkl weight and its applications	2018	Д. В. Горбачев В. И. Иванов
+	Weighted gradient inequalities and unique continuation problems	2018	Laura De Carli Д. В. Горбачев Sergey Tikhonov
+ PDF Chat	Wiener’s problem for positive definite functions	2017	Д. В. Горбачев Sergey Tikhonov
+ PDF Chat	Pitt inequalities and restriction theorems for the Fourier transform	2017	Laura De Carli Д. В. Горбачев Sergey Tikhonov
+	Some extremal problems for the Fourier transform on the hyperboloid	2017	Д. В. Горбачев V. I. Ivanov О. И. Смирнов
+	Bohman extremal problem for the Dunkl transform	2017	Д. В. Горбачев В. И. Иванов
+	Positive $L^p$-bounded Dunkl-type generalized translation operator and its applications	2017	Д. В. Горбачев В. И. Иванов Sergey Tikhonov
+	Riesz potential and maximal function for Dunkl transform	2017	Д. В. Горбачев В. И. Иванов Sergey Tikhonov
+	Nikolskii constants for polynomials on the unit sphere	2017	Feng Dai Д. В. Горбачев Sergey Tikhonov
+	Doubling condition at the origin for non-negative positive definite functions	2016	Д. В. Горбачев Sergey Tikhonov
+	The Delsarte extremal problem for the Jacobi transform	2016	Д. В. Горбачев V. I. Ivanov О. И. Смирнов
+	Approximation in L 2 by partial integrals of the Fourier transform over the eigenfunctions of the Sturm–Liouville operator	2016	Д. В. Горбачев В. И. Иванов
+	Wiener's problem for positive definite functions	2016	Д. В. Горбачев Sergey Tikhonov
+ PDF Chat	Pitt's Inequalities and Uncertainty Principle for Generalized Fourier Transform	2016	Д. В. Горбачев В. И. Иванов Sergey Tikhonov
+	Multidimensional Extremal Logan’s and Bohman’s Problems	2016	Д. В. Горбачев
+	Wiener's problem for positive definite functions	2016	Д. В. Горбачев Sergey Tikhonov
+	Doubling condition at the origin for non-negative positive definite functions	2016	Д. В. Горбачев Sergey Tikhonov
+ PDF Chat	Sharp Pitt inequality and logarithmic uncertainty principle for Dunkl transform in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:math>	2015	Д. В. Горбачев В. И. Иванов Sergey Tikhonov
+	Gauss and Markov quadrature formulae with nodes at zeros of eigenfunctions of a Sturm-Liouville problem, which are exact for entire functions of exponential type	2015	Д. В. Горбачев В. И. Иванов
+	Pitt's inequalities and uncertainty principle for generalized Fourier transform	2015	Д. В. Горбачев V. I. Ivanov Sergey Tikhonov
+	Sharp Pitt inequality and logarithmic uncertainty principle for Dunkl transform in $L^{2}$	2015	Д. В. Горбачев V. I. Ivanov Sergey Tikhonov
+	An estimate of an optimal argument in the sharp multidimensional Jackson-Stechkin L 2-inequality	2015	Д. В. Горбачев
+ PDF Chat	Квадратурные формулы Гаусса и Маркова по нулям собственных функций задачи Штурма - Лиувилля, точные для целых функций экспоненциального типа	2015	Д. В. Горбачев В. И. Иванов
+	Sharp Pitt inequality and logarithmic uncertainty principle for Dunkl transform in $L^{2}$	2015	Д. В. Горбачев V. I. Ivanov Sergey Tikhonov
+	Pitt's inequalities and uncertainty principle for generalized Fourier transform	2015	Д. В. Горбачев V. I. Ivanov Sergey Tikhonov
+	Optimal argument in the sharp Jackson inequality in the space L 2 with hyperbolic weight	2014	Д. В. Горбачев В. И. Иванов Roman Veprintsev
+	Pitt and Boas inequalities for Fourier and Hankel transforms	2013	Laura De Carli Д. В. Горбачев Sergey Tikhonov
+ PDF Chat	Moduli of smoothness and growth properties of Fourier transforms: Two-sided estimates	2012	Д. В. Горбачев Sergey Tikhonov
+	Minimal weighted 4-designs on the sphere S 2	2012	Andriy Bondarenko Д. В. Горбачев
+ PDF Chat	Минимальные взвешенные $4$-дизайны на сфере $S^2$	2012	Andriy Bondarenko Andriy Bondarenko Andriy Bondarenko Andriy Bondarenko Д. В. Горбачев Д. В. Горбачев
+	Moduli of smoothness and growth properties of Fourier transforms: two-sided estimates	2012	Д. В. Горбачев Sergey Tikhonov
+	Weighted Fourier inequalities: Boas’ conjecture in ℝ n	2011	Д. В. Горбачев Elijah Liflyand Sergey Tikhonov
+	On an extremal problem for periodic functions with small support	2006	Д. В. Горбачев Maria V. Zakharova
+	An extremal problem for even positive definite entire functions of exponential type	2006	Д. В. Горбачев S. A. Strankovskii
+	Turán Extremal Problem for Periodic Functions with Small Support and Its Applications	2004	Д. В. Горбачев A. S. Manoshina
+	Relation between Tur\'an extremum problem and van der Corput sets	2003	Д. В. Горбачев A. S. Manoshina
+	Relation between Turán extremum problem and van der Corput sets	2003	Д. В. Горбачев A. S. Manoshina
+	Improvement Taykov's lower bound in an inequation between C and L norms for trigonometric polynomials	2002	Д. В. Горбачев
+	Turan Extremum Problem for Periodic Function with Small Support	2002	Д. В. Горбачев A. S. Manoshina
+	None	2001	Д. В. Горбачев
+	Extremum problems for entire functions of exponential spherical type	2000	Д. В. Горбачев
+	An extremum problem for polynomials related to codes and designs	2000	Д. В. Горбачев В. И. Иванов
+ PDF Chat	Одна экстремальная задача для многочленов, связанная с кодами и дизайнами	2000	Д. В. Горбачев Д. В. Горбачев В. И. Иванов Valeriy Ivanovich Ivanov
+ PDF Chat	Экстремальные задачи для целых функций экспоненциального сферического типа	2000	Д. В. Горбачев Д. В. Горбачев
+	The sharp Jackson inequality in the spaceL p on the sphere	1999	Д. В. Горбачев
+ PDF Chat	Точное неравенство Джексона в пространстве $L_p$ на сфере	1999	Д. В. Горбачев Д. В. Горбачев
+	An extremum problem on a class of differentiable functions of several variables	1997	Д. В. Горбачев
+	Construction of the extremal function for a functional on the classH ω (n)	1997	Д. В. Горбачев

Common Coauthors

Coauthor	Papers Together
Sergey Tikhonov	40
В. И. Иванов	29
V. I. Ivanov	9
Laura De Carli	5
Feng Dai	4
A. S. Manoshina	4
Ivan Anatol’evich Martyanov	3
О. И. Смирнов	3
Valeriy Ivanovich Ivanov	2
Roman Veprintsev	2
Н. Н. Добровольский	2
Elijah Liflyand	2
Andriy Bondarenko	2
Chang‐Feng Dai	2
V. I. Ivanov	1
N. N. Dobrovolsky	1
В. И. Иванов	1
Е. П. Офицеров	1
S. A. Strankovskii	1
Maria V. Zakharova	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Extremum problems for entire functions of exponential spherical type	2000	Д. В. Горбачев	16
+	Gauss and Markov quadrature formulae with nodes at zeros of eigenfunctions of a Sturm-Liouville problem, which are exact for entire functions of exponential type	2015	Д. В. Горбачев В. И. Иванов	15
+	Introduction to Fourier Analysis on Euclidean Spaces.	1971	Elias M. Stein Guido Weiss	14
+	A positive radial product formula for the Dunkl kernel	2003	Margit Rösler	14
+ PDF Chat	Dunkl Operators: Theory and Applications	2003	Margit Rösler	13
+	Approximation of Functions of Several Variables and Imbedding Theorems	1975	Sergei Mihailovic Nikol’skii	13
+	Two related extremal problems for entire functions of several variables	1999	Elena E. Berdysheva	12
+ PDF Chat	A new proof of a Paley—Wiener type theorem for the Jacobi transform	1975	Tom H. Koornwinder	12
+	Extremal Problems for Positive-Definite Bandlimited Functions. II. Eventually Negative Functions	1983	B. F. Logan	12
+	Positive $$L^p$$ L p -Bounded Dunkl-Type Generalized Translation Operator and Its Applications	2018	Д. В. Горбачев В. И. Иванов Sergey Tikhonov	11
+	Paley–Wiener theorems for the Dunkl transform	2006	Marcel de Jeu	11
+	Bessel harmonic analysis and approximation of functions on the half-line	2007	Сергей Сергеевич Платонов	11
+	Weighted Fourier Inequalities: New Proofs and Generalizations	2003	John J. Benedetto Hans P. Heinig	11
+	Explicit Quadrature Formulae for Entire Functions of Exponential Type	1998	Riadh Ben Ghanem Clément Frappier	10
+	Optimal argument in the sharp Jackson inequality in the space L 2 with hyperbolic weight	2014	Д. В. Горбачев В. И. Иванов Roman Veprintsev	10
+ PDF Chat	A quadrature formula with zeros of Bessel functions as nodes	1995	Georgi R. Grozev Q. I. Rahman	10
+ PDF Chat	Convolution operator and maximal function for the Dunkl transform	2005	Sundaram Thangavelu Yuan Xu	9
+ PDF Chat	Nikolskii-type inequalities for trigonometric polynomials and entire functions of exponential type	1978	R. J. Nessel Gerhard Wilmes	9
+ PDF Chat	The convolution structure for Jacobi function expansions	1973	Mogens Flensted–Jensen Tom H. Koornwinder	9
+ PDF Chat	Generalized Hermite Polynomials and the Heat Equation for Dunkl Operators	1998	Margit Rösler	9
+ PDF Chat	Jacobi functions: The addition formula and the positivity of the dual convolution structure	1979	Mogens Flensted–Jensen Tom H. Koornwinder	9
+	Growth properties of Fourier transforms via moduli of continuity	2008	William O. Bray Mark A. Pinsky	8
+	On the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi>L</mml:mi><mml:mi>p</mml:mi></mml:msup><mml:mo>−</mml:mo><mml:msup><mml:mi>L</mml:mi><mml:mi>q</mml:mi></mml:msup></mml:math> norm of the Hankel transform and related operators	2008	Laura De Carli	8
+	Optimal arguments in jackson’s inequality in the power-weighted space L 2(ℝ d )	2013	Алексей Валерьевич Иванов В. И. Иванов	8
+	Sturm—Liouville and Dirac Operators	1991	B. M. Levitan I. S. Sargsjan	8
+ PDF Chat	Convolution roots of radial positive definite functions with compact support	2004	Werner Ehm Tilmann Gneiting Donald Richards	8
+	Extremal Problems for Positive-Definite Bandlimited Functions. I. Eventually Positive Functions with Zero Integral	1983	B. F. Logan	8
+ PDF Chat	A Quadrature Formula with Zeros of Bessel Functions as Nodes	1995	Georgi R. Grozev Q. I. Rahman	7
+ PDF Chat	Moduli of smoothness and growth properties of Fourier transforms: Two-sided estimates	2012	Д. В. Горбачев Sergey Tikhonov	7
+ PDF Chat	Экстремальные задачи для целых функций экспоненциального сферического типа	2000	Д. В. Горбачев Д. В. Горбачев	7
+ PDF Chat	Orthogonal Polynomials	1971		7
+ PDF Chat	A quadrature formula involving zeros of Bessel functions	1993	Clément Frappier Patrick Olivier	7
+	None	2001	Д. В. Горбачев	7
+ PDF Chat	Pitt's inequality with sharp convolution estimates	2007	William Beckner	7
+ PDF Chat	The sphere packing problem in dimension $8$	2017	Maryna Viazovska	7
+	Pitt and Boas inequalities for Fourier and Hankel transforms	2013	Laura De Carli Д. В. Горбачев Sergey Tikhonov	7
+	Distribution of Zeros of Entire Functions	1964	Б. В. Левин	7
+	Combinations of multivariate averages	2004	Feng Dai Z. Ditzian	7
+ PDF Chat	The sphere packing problem in dimension $24$	2017	Henry Cohn Abhinav Kumar Stephen D. Miller Danylo Radchenko Maryna Viazovska	7
+	Paley-Wiener Theorems for the Dunkl Transform and Dunkl Translation Operators	2002	Khalifa Trimèche	6
+ PDF Chat	Nikolskii constants for polynomials on the unit sphere	2020	Feng Dai Д. В. Горбачев Sergey Tikhonov	6
+	On Sharp Constants in Bernstein–Nikolskii Inequalities	2017	Michael I. Ganzburg Sergey Tikhonov	6
+	Weighted Fourier inequalities: Boas’ conjecture in ℝ n	2011	Д. В. Горбачев Elijah Liflyand Sergey Tikhonov	6
+	Sharp Jackson inequalities	2007	Feng Dai Z. Ditzian Sergey Tikhonov	6
+ PDF Chat	New upper bounds on sphere packings II	2002	Henry Cohn	6
+	Integrability conditions for the Fourier transform	1976	Yoram Sagher	6
+	On a problem of Turán about positive definite functions	2003	Mihail N. Kolountzakis Szilárd Gy. Révész	6
+	APPROXIMATION OF FUNCTIONS ON THE SPHERE	1988	Sergei M Nikol'skii П. И. Лизоркин	6
+	Special Functions and the Theory of Group Representations	1968	N. I︠a︡. Vilenkin	6
+	Jacobi Functions and Analysis on Noncompact Semisimple Lie Groups	1984	Tom H. Koornwinder	6