| Title:
|
Besov spaces and function series on Lie groups (English) |
| Author:
|
Skrzypczak, Leszek |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
34 |
| Issue:
|
1 |
| Year:
|
1993 |
| Pages:
|
139-147 |
| . |
| Category:
|
math |
| . |
| Summary:
|
In the paper we investigate the absolute convergence in the sup-norm of Harish-Chandra's Fourier series of functions belonging to Besov spaces defined on non-compact connected Lie groups. (English) |
| Keyword:
|
Besov spaces |
| Keyword:
|
Harish-Chandra-Fourier series |
| MSC:
|
22E30 |
| MSC:
|
43A15 |
| MSC:
|
46E35 |
| idZBL:
|
Zbl 0842.46020 |
| idMR:
|
MR1240211 |
| . |
| Date available:
|
2009-01-08T18:01:47Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118563 |
| . |
| Reference:
|
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| Reference:
|
[2] Harish-Chandra: Discrete series for semi-simple Lie groups II.Acta Math. 116 (1966), 1-111. MR 0219666 |
| Reference:
|
[3] Price J.F.: Lie Groups and Compact Groups.University Press, Cambridge, 1979. Zbl 0348.22001, MR 0450449 |
| Reference:
|
[4] Robinson D.W.: Lie groups and Lipschitz spaces.Duke J. Math. 57 (1988), 357-395. Zbl 0687.46024, MR 0962512 |
| Reference:
|
[5] Robinson D.W.: Lipschitz operators.J. Funct. Anal. 85 (1989), 179-211. Zbl 0705.47037, MR 1005861 |
| Reference:
|
[6] Schmeisser H.J., Triebel H.: Topics in Fourier Analysis and Function Spaces.Wiley, Chichester, 1987. Zbl 0661.46025, MR 0891189 |
| Reference:
|
[7] Skrzypczak L.: Traces of function spaces $F_{p,q}^s- B_{p,q}^s$ type on submanifolds.Math. Nachr. 146 (1990), 137-147. MR 1069056 |
| Reference:
|
[8] Triebel H.: Diffeomorphism properties and pointwise multiplier for function spaces.in: Function Spaces, Proc. Inter. Conf. Poznań 1986, Teubner-Texte, Leipzig, 1988, 75-84. MR 1066519 |
| Reference:
|
[9] Triebel H.: Function spaces on Lie groups, the Riemannian approach.J. London Math. Soc. 35 (1987), 327-338. Zbl 0587.46036, MR 0881521 |
| Reference:
|
[10] Triebel H.: How to measure smoothness of distributions on Riemannian symmetric manifolds and Lie groups?.Zeitsch. Anal. ihre Anwend. 7 (1988), 471-480. MR 0977967 |
| Reference:
|
[11] Triebel H.: Spaces of Besov-Hardy-Sobolev type on complete Riemannian manifolds.Ark. Mat. 24 (1986), 299-337. Zbl 0664.46026, MR 0884191 |
| Reference:
|
[12] Triebel H.: Theory of Function Spaces.Birkhäuser, Basel, 1983. Zbl 1104.46001, MR 0781540 |
| Reference:
|
[13] Warner B.: Harmonic Analysis on Semi-simple Lie groups I.Springer-Verlag, Berlin, 1972. Zbl 0265.22020, MR 0498999 |
| . |
