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
✦ LIBER ✦
On the Szasz-Müntz theorem
✍ Scribed by Norman Levinson
- Publisher
- Elsevier Science
- Year
- 1974
- Tongue
- English
- Weight
- 181 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Müntz–Szasz Theorems for Nilpotent Lie G
✍
Darwyn C Cook
📂
Article
📅
1998
🏛
Elsevier Science
🌐
English
⚖ 329 KB
On the Jackson-Müntz theorem
✍
D Leviatan
📂
Article
📅
1974
🏛
Elsevier Science
🌐
English
⚖ 183 KB
The Müntz-Szász theorem and the closure
✍
R.A. Zalik
📂
Article
📅
1981
🏛
Elsevier Science
🌐
English
⚖ 461 KB
The Hausdorff Moment Problem with Comple
✍
Antonio J. Duran
📂
Article
📅
1997
🏛
John Wiley and Sons
🌐
English
⚖ 856 KB
## Abstract This paper deals with a Hausdorff moment problem with complex exponents, that is, given a sequence of complex numbers __(z~n~)n__ and a fixed space __X__ of functions denned on [0, 1], we ask under which conditions on a sequence (__a__~__n__~)~__n__~ the moment problem __a__~__n__~ = ∫
The Müntz-Jackson theorem in L2
✍
D.J Newman
📂
Article
📅
1973
🏛
Elsevier Science
🌐
English
⚖ 190 KB
Full Müntz Theorem inLp[0, 1]
✍
Vladimir Operstein
📂
Article
📅
1996
🏛
Elsevier Science
🌐
English
⚖ 180 KB
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< .