Abstract
A part of an exponential system with degenerate coefficients is considered. The frame properties (completeness, minimality, basicity, atomic decomposition) of this system in Hardy classes are studied in the case where the coefficients may not satisfy the Muckenhoupt condition.
Funding statement: This work was supported by the Research Program Competition launched by the National Academy of Sciences of Azerbaijan (Program: Frame Theory Applications of Wavelet Analysis to Signal Processing in Seismology and Other Fields).
Acknowledgements
The authors would like to express their deep gratitude to the reviewer for his/her valuable comments.
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© 2017 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Impulsive differential inclusions via variational method
- Frame properties of a part of an exponential system with degenerate coefficients in Hardy classes
- A note on two-variable Chebyshev polynomials
- Spectral analysis of dissipative fractional Sturm–Liouville operators
- Common best proximity pairs in strictly convex Banach spaces
- Traces of Muckenhoupt weighted function spaces in case of distant singularities
- The commutativity of prime Γ-rings with generalized skew derivations
- Δμ-sets and ∇μ-sets in generalized topological spaces
- On strong well-posedness of initial-boundary value problems for higher order nonlinear hyperbolic equations with two independent variables
- Area properties associated with a convex plane curve
- Almost semi-correspondence
- The generalization of the Bernstein operator on any finite interval
- Some non-unique fixed point theorems of Ćirić type using rational-type contractive conditions
- On some properties of summability methods with variable order
- On the absolute convergence of Fourier series with respect to general orthonormal systems
Artikel in diesem Heft
- Frontmatter
- Impulsive differential inclusions via variational method
- Frame properties of a part of an exponential system with degenerate coefficients in Hardy classes
- A note on two-variable Chebyshev polynomials
- Spectral analysis of dissipative fractional Sturm–Liouville operators
- Common best proximity pairs in strictly convex Banach spaces
- Traces of Muckenhoupt weighted function spaces in case of distant singularities
- The commutativity of prime Γ-rings with generalized skew derivations
- Δμ-sets and ∇μ-sets in generalized topological spaces
- On strong well-posedness of initial-boundary value problems for higher order nonlinear hyperbolic equations with two independent variables
- Area properties associated with a convex plane curve
- Almost semi-correspondence
- The generalization of the Bernstein operator on any finite interval
- Some non-unique fixed point theorems of Ćirić type using rational-type contractive conditions
- On some properties of summability methods with variable order
- On the absolute convergence of Fourier series with respect to general orthonormal systems