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Estimates of Fourier Coefficients

  • V. Tsagareishvili
Published/Copyright: March 3, 2010
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Georgian Mathematical Journal
From the journal Volume 10 Issue 2

Abstract

Some well-known properties of the trigonometric system as well as of the Haar and Welsh systems are generalized to general orthonormal systems.

Key words and phrases:: Orthonormal system; Fourier coefficients; modulus of continuity; bounded variation
Received: 2002-04-08
Published Online: 2010-03-03
Published in Print: 2003-June

© Heldermann Verlag

Articles in the same Issue

  1. On ARU-Resolutions of Uniform Spaces
  2. On the Dimension Modulo Classes of Topological Spaces and Free Topological Groups
  3. On the Uniform Convergence and 𝐿-Convergence of Double Fourier Series with Respect to the Walsh–Kaczmarz System
  4. Dynamic Programming and Mean-Variance Hedging in Discrete Time
  5. Extending Quasi-Invariant Measures by Using Subgroups of a Given Group
  6. Representation of Solutions of Some Boundary Value Problems of Elasticity by a Sum of the Solutions of Other Boundary Value Problems
  7. General 𝑀-Estimators in the Presence of Nuisance Parameters. Skew Projection Technique
  8. A Unified Characterization of 𝑞-Optimal and Minimal Entropy Martingale Measures by Semimartingale Backward Equations
  9. On the Existence of Continuous Modifications of Vector-Valued Random Fields
  10. Weak Convergence of a Dirichlet-Multinomial Process
  11. Time-Dependent Barrier Options and Boundary Crossing Probabilities
  12. On Separation Properties for Families of Probability Measures
  13. Oscillation Theorems of Nonlinear Difference Equations of Second Order
  14. On Bounds for the Characteristic Functions of Some Degenerate Multidimensional Distributions
  15. Estimates of Fourier Coefficients
  16. On Approximate Large Deviations for 1D Diffusion
https://doi.org/10.1515/GMJ.2003.363
Keywords for this article
Orthonormal system; Fourier coefficients; modulus of continuity; bounded variation

Articles in the same Issue

  1. On ARU-Resolutions of Uniform Spaces
  2. On the Dimension Modulo Classes of Topological Spaces and Free Topological Groups
  3. On the Uniform Convergence and 𝐿-Convergence of Double Fourier Series with Respect to the Walsh–Kaczmarz System
  4. Dynamic Programming and Mean-Variance Hedging in Discrete Time
  5. Extending Quasi-Invariant Measures by Using Subgroups of a Given Group
  6. Representation of Solutions of Some Boundary Value Problems of Elasticity by a Sum of the Solutions of Other Boundary Value Problems
  7. General 𝑀-Estimators in the Presence of Nuisance Parameters. Skew Projection Technique
  8. A Unified Characterization of 𝑞-Optimal and Minimal Entropy Martingale Measures by Semimartingale Backward Equations
  9. On the Existence of Continuous Modifications of Vector-Valued Random Fields
  10. Weak Convergence of a Dirichlet-Multinomial Process
  11. Time-Dependent Barrier Options and Boundary Crossing Probabilities
  12. On Separation Properties for Families of Probability Measures
  13. Oscillation Theorems of Nonlinear Difference Equations of Second Order
  14. On Bounds for the Characteristic Functions of Some Degenerate Multidimensional Distributions
  15. Estimates of Fourier Coefficients
  16. On Approximate Large Deviations for 1D Diffusion
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