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Zak Transforms on Binary Fields

โœ Scribed by F. Schipp; W.R. Wade

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
128 KB
Volume
101
Category
Article
ISSN
0021-9045

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โœฆ Synopsis

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 complete or not.

๐Ÿ“œ SIMILAR VOLUMES

Mellin Transforms on Binary Fields
Mellin Transforms on Binary Fields
โœ F. Schipp; W.R. Wade ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 150 KB

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.