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- W3181825668 abstract "An abstract theory of Fourier series in locally convex topological vector spaces is developed. An analog of Fejér’s theorem is proved for these series. The theory is applied to distributional solutions of Cauchy–Riemann equations to recover basic results of complex analysis. Some classical results of function theory are also shown to be consequences of the series expansion." @default.
- W3181825668 created "2021-07-19" @default.
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- W3181825668 date "2022-10-01" @default.
- W3181825668 modified "2023-09-27" @default.
- W3181825668 title "Power series as Fourier series" @default.
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- W3181825668 doi "https://doi.org/10.1216/rmj.2022.52.1539" @default.
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