On a theorem of Ingham

DOI10.1007/BF02648885zbMath0939.42004MaRDI QIDQ1375138

Stéphane Jaffard, Marius Tucsnak, Enrique Zuazua

Publication date: 3 July 2000

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/59526

zbMATH Keywords

Riesz basisspline functionsnonharmonic Fourier seriescontrol of PDEs

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Classical almost periodic functions, mean periodic functions (42A75) Spline approximation (41A15) Existence theories for optimal control problems involving partial differential equations (49J20) Uniqueness of trigonometric expansions, uniqueness of Fourier expansions, Riemann theory, localization (42A63) Completeness of sets of functions in one variable harmonic analysis (42A65)

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Cites Work

• Unnamed Item
• Singular internal stabilization of the wave equation
• Some trigonometrical inequalities with applications to the theory of series
• Pseudo-périodicité et séries de Fourier lacunaires
• A Class of Nonharmonic Fourier Series