Completeness of sets of complex exponentials

DOI10.1016/S0001-8708(77)80002-9zbMath0358.42007MaRDI QIDQ1238276

Raymond M. Redheffer

Publication date: 1977

Published in: Advances in Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Approximation by other special function classes (41A30) Special classes of entire functions of one complex variable and growth estimates (30D15) Completeness of sets of functions in one variable harmonic analysis (42A65)

Related Items (45)

Complétude des noyaux reproduisants dans les espaces modèles. (Completeness of reproducing kernels in the model spaces) ⋮ On foundational discretization barriers in STFT phase retrieval ⋮ Geometric bounds on the growth rate of null-controllability cost for the heat equation in small time ⋮ Determinantal probability measures ⋮ On the controllability of anomalous diffusions generated by the fractional Laplacian ⋮ Nonharmonic Fourier Series and Spectral Theory ⋮ A construction of complete minimal, but not uniformly minimal, exponential systems with real separable spectrum in \(L^ p\) and \(C\) ⋮ On a two-point boundary value problem for the Sturm-Liouville operator with a nonclassical asymptotics of the spectrum ⋮ Gap problem for separated sequences and Beurling-Malliavin theorem ⋮ Fonctions entières de type exponentiel comme multiplicateurs. Un exemple et une condition nécessaire et suffisante ⋮ Completeness of certain exponential systems and zeros of lacunary polynomials ⋮ Determinantal processes and completeness of random exponentials: the critical case ⋮ A generalization of the first Beurling-Malliavin theorem ⋮ Completeness and Basis Properties of Complex Exponentials ⋮ A version of the Malliavin-Rubel theorem on entire functions of exponential type with zeros near the imaginary axis ⋮ Sharp estimates for biorthogonal families to exponential functions associated to complex sequences without gap conditions ⋮ A multinomial spline approximation scheme using spline quasi-interpolants ⋮ On Bernstein type theorems concerning the growth of derivatives of entire functions ⋮ Sharp bounds for asymptotic characteristics of growth of entire functions with zeros on given sets ⋮ Null-controllability of a hyperbolic equation as singular limit of parabolic ones ⋮ Bounds on functions biorthogonal to sets of complex exponentials. Control of damped elastic systems ⋮ Synthesizable differentiation-invariant subspaces ⋮ On the expansion of meromorphic functions of special form into partial fractions ⋮ On the growth of the entire functions of exponential type with given zeros along a line ⋮ On a Theorem of Ingham on Nonharmonic Fourier Series ⋮ Resolvent conditions for the control of parabolic equations ⋮ Beurling-Malliavin theory for Toeplitz kernels ⋮ Functional analysis. Transl. from the Russian ⋮ On completeness of random exponentials in the Bargmann–Fock space ⋮ On the excess of complex exponential systems in \(L^2(-a,a)\) ⋮ Singular Measures with Spectral Gaps ⋮ On exponential bases for the Sobolev spaces over an interval ⋮ Construction of Gevrey functions with compact support using the Bray-Mandelbrojt iterative process and applications to the moment method in control theory ⋮ On the stability of the uniform minimality of a set of exponentials ⋮ Asymptotic properties of entire functions with given laws of distribution of zeros ⋮ Approximation of the controls for the beam equation with vanishing viscosity ⋮ Completeness and nonminimality of systems of exponentials in \(L^ p(- \pi,\pi)\) ⋮ Kernels of Toeplitz operators ⋮ Universalities of reproducing kernels revisited ⋮ Dynamics of delayed neural field models in two-dimensional spatial domains ⋮ Uniform controllability of the linear one dimensional Schrödinger equation with vanishing viscosity ⋮ Completeness of systems of complex exponentials and the Lambert 𝑊 functions ⋮ Harmonic analysis and spectral estimation ⋮ Subsequences of zeros for Bernstein spaces and the completeness of systems of exponentials in spaces of functions on an interval ⋮ Complementability of exponential systems

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