TEOREMA PALEY-WIENER-SCHWARTZ PADA DOMAIN NON KONVEKS
| Main Authors: | , CYNTHIA TRI OCTAVIANTI, , Dr. Ch. Rini Indrati, M.Si. |
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| Format: | Thesis NonPeerReviewed |
| Terbitan: |
[Yogyakarta] : Universitas Gadjah Mada
, 2012
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| Subjects: | |
| Online Access: |
https://repository.ugm.ac.id/99441/ http://etd.ugm.ac.id/index.php?mod=penelitian_detail&sub=PenelitianDetail&act=view&typ=html&buku_id=55164 |
Daftar Isi:
- 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.