Nonharmonic Fourier Series and Spectral Theory

DOI10.2307/2000492zbMath0614.42017OpenAlexW4240705262MaRDI QIDQ4722545

Harold E. Benzinger

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2000492

zbMATH Keywords

eigenvalueseigenfunctionsFourier coefficientsmultiplierfunctional calculus of well-bounded operators

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) General harmonic expansions, frames (42C15) Multipliers in one variable harmonic analysis (42A45) Ordinary differential operators (34L99)

Related Items (2)

Exponential bases on two dimensional trapezoids ⋮ A Generalization of Nonharmonic Fourier Series

Cites Work

• Completeness of sets of complex exponentials
• Completeness and Basis Properties of Complex Exponentials
• Functions of Well-Bounded Operators
• Spectral Families of Projections, Semigroups, and Differential Operators
• On the best values of the constants in the theorem of M. Riesz, Zygmund and Kolmogorov
• On Well-Bounded Operators. II
• A Class of Nonharmonic Fourier Series
• Some notes on an expansion theorem of Paley and Wiener
• The mean convergence of non-harmonic series
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