We introduce analogues of the Zak Transform on binary fields, and show that they are bounded linear operators on L p for p=1 and 2. We also show that positivity of Zak transforms can be used to decide whether orthonormal systems generated by multiplying characters of F by a weight function are compl
โฆ LIBER โฆ
Mellin Transforms on Binary Fields
โ Scribed by F. Schipp; W.R. Wade
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 150 KB
- Volume
- 9
- Category
- Article
- ISSN
- 1063-5203
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โฆ Synopsis
We show that the Mellin transform on any binary field can be extended to a bounded linear isometry on L 2 . We also obtain an explicit formula for the corresponding inverse Mellin transform and prove that inversion holds when the Mellin transform is integrable.
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