TEOREMA PALEY-WIENER-SCHWARTZ PADA DOMAIN NON KONVEKS
Paley-Wiener theorem is a theorem related to the Fourier transforms of analytic functions having continuous partial derivatives up to infinite times. The theorem has been generalized to be Paley-Wiener-Schwartzs theorem by characterizing Schwartz test functions and distributions with compact support...
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| 格式: | Thesis |
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[Yogyakarta] : Universitas Gadjah Mada
2012
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| 总结: | Paley-Wiener theorem is a theorem related to the Fourier transforms of
analytic functions having continuous partial derivatives up to infinite times. The
theorem has been generalized to be Paley-Wiener-Schwartzs theorem by
characterizing Schwartz test functions and distributions with compact support.
Usually Paley-Wiener-Schwartz theorem works on the domain that is
compact and convex. In this thesis we discuss the theorem of Paley-Wiener-
Schwartz on compact sets. Further we discuss Paley-Wiener-Schwartz theorem
generated by the sequences of numbers and polynomials which can be nonconvex.
Also we discuss the theorem of Paley-Wiener-Schwartz generated by the
set of convex-d. |
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