TEOREMA PALEY-WIENER-SCHWARTZ PADA DOMAIN NON KONVEKS; THE PALEY-WIENER-SCHWARTZ THEOREM FOR NONCONVEX DOMAINS

CYNTHIA TRI OCTAVIANTI, Rini Indrati

2012 | Disertasi | PROGRAM STUDI S2 MATEMATIKA

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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