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Full Müntz Theorem inLp[0, 1]

✍ Scribed by Vladimir Operstein

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
180 KB
Volume
85
Category
Article
ISSN
0021-9045

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✦ Synopsis

The theorem characterizes sequences [* i ] 0 for which the Mu ntz space span[x *0 , x *1 , ...] is dense in L p [0, 1], 1< p< .

📜 SIMILAR VOLUMES

On the Szasz-Müntz theorem
On the Szasz-Müntz theorem
✍ Norman Levinson 📂 Article 📅 1974 🏛 Elsevier Science 🌐 English ⚖ 181 KB
Müntz–Szasz Theorems for Nilpotent Lie G
Müntz–Szasz Theorems for Nilpotent Lie Groups
✍ 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