Completeness of systems of complex exponentials and the Lambert 𝑊 functions
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Publication:3420382
DOI10.1090/S0002-9947-06-03950-XzbMath1210.42046OpenAlexW2046845664MaRDI QIDQ3420382
Publication date: 1 February 2007
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9947-06-03950-x
General harmonic expansions, frames (42C15) Theoretical approximation of solutions to functional-differential equations (34K07) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30) Dirichlet series, exponential series and other series in one complex variable (30B50)
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Cites Work
- Completeness and nonminimality of systems of exponentials in \(L^ p(- \pi,\pi)\)
- Differential-difference equations
- Riesz bases of exponentials and sine-type functions
- Completeness of sets of complex exponentials
- On completeness of the systems {exp(ix(n+ih//n))}
- On the Lambert \(w\) function
- On the closure of characters and the zeros of entire functions
- Solution of the equation 𝑧𝑒^{𝑧}=𝑎
- Completeness and Basis Properties of Complex Exponentials
- On a Theorem of Ingham on Nonharmonic Fourier Series
- On the Stability of Exponential Bases in L 2 (-π, π)
- On the excess of sets of complex exponentials
- A representation theorem for Schauder bases in Hilbert space
- On a class of Cauchy exponential series
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