Simple example of nonuniqueness for a dual trigonometric series
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- by Robert B. Kelman PDF
- Proc. Amer. Math. Soc. 78 (1980), 245-246 Request permission
Abstract:
A simple nonzero solution is given for the classic homogeneous dual trigonometric equation having the kernel $\{ \sin (n + 1/2)x\}$. The solution’s rate of growth is minimal.References
- Robert B. Kelman, A Dirichlet-Jordan theorem for dual trigonometric series, Pacific J. Math. 59 (1975), no. 1, 113–123. MR 397277
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- R. P. Srivastav, Dual series relations. V. A generalized Schlömilch series and the uniqueness of the solution of dual equations involving trigonometric series, Proc. Roy. Soc. Edinburgh Sect. A 66 (1963/64), 258–268 (1965). MR 173906
- A. Zygmund, Trigonometric series: Vols. I, II, Cambridge University Press, London-New York, 1968. Second edition, reprinted with corrections and some additions. MR 0236587
Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 78 (1980), 245-246
- MSC: Primary 42A63
- DOI: https://doi.org/10.1090/S0002-9939-1980-0550505-5
- MathSciNet review: 550505