Methods of Fourier Analysis and Approximation Theory

1. Some Problems in Fourier Analysis and Approximation Theory
Michael Ruzhansky, Sergey Tikhonov

Part I. Fourier Analysis

2. Parseval Frames with n + 1 Vectors in




mathbb{R}^{n}

Laura Carli, Zhongyuan Hu

3. Hyperbolic Hardy Classes and Logarithmic Bloch Spaces
Evgueni Doubtsov

4. Multidimensional Extremal Logan’s and Bohman’s Problems
D. V. Gorbachev

5. Weighted Estimates for the Discrete Hilbert Transform
E. Liflyand

6.
Q-Measures on the Dyadic Group and Uniqueness Sets for Haar Series
Mikhail G. Plotnikov

7. Off-Diagonal and Pointwise Estimates for Compact Calderón-Zygmund Operators
Paco Villarroya

Part II. Function Spaces of Radial Functions

8. Elementary Proofs of Embedding Theorems for Potential Spaces of Radial Functions
Pablo L. Nápoli, Irene Drelichman

9. On Leray’s Formula
E. Liflyand, S. Samko

Part III. Approximation Theory

10. Order of Approximation of Besov Classes in the Metric of Anisotropic Lorentz Spaces
K. A. Bekmaganbetov

11. Analogues of Ulyanov Inequalities for Mixed Moduli of Smoothness
M. K. Potapov, B. V. Simonov

12. Reconstruction Operator of Functions from the Sobolev Space
N. T. Tleukhanova

Part IV. Optimization Theory and Related Topics

13. Laplace–Borel Transformation of Functions Holomorphic in the Torus and Equivalent to Entire Functions
L. S. Maergoiz

14. Optimization Control Problems for Systems Described by Elliptic Variational Inequalities with State Constraints
Simon Serovajsky

15. Two Approximation Methods of the Functional Gradient for a Distributed Optimization Control Problem
Ilyas Shakenov

16. Numerical Modeling of the Linear Relaxational Filtration by Monte Carlo Methods
Kanat Shakenov

Nyckelord: Mathematics, Fourier Analysis, Abstract Harmonic Analysis, Numerical Analysis