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VARIANTS OF MIYACHI’S THEOREM FOR NILPOTENT LIE GROUPS

✍ Scribed by BAKLOUTI, ALI; THANGAVELU, SUNDARAM

Book ID
121845125
Publisher
Australian Mathematical Society
Year
2010
Tongue
English
Weight
167 KB
Volume
88
Category
Article
ISSN
1446-7887

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📜 SIMILAR VOLUMES

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This paper concerns itself with the problem of generalizing to nilpotent Lie groups a weak form of the classical Paley-Wiener theorem for \(\mathbb{R}^{n}\). The generalization is accomplished for a large subclass of nilpotent Lie groups, as well as for an interesting example not in this subclass. T

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✍ Darwyn C Cook 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 329 KB

The classic Mu ntz Szasz theorem says that for f # L 2 ([0, 1]) and [n k ] k=1 , a strictly increasing sequence of positive integers, We have generalized this theorem to compactly supported functions on R n and to an interesting class of nilpotent Lie groups. On R n we rephrased the condition above