| Title:
|
Konvergenzverhalten der konjugierten Shannonschen Abtastreihe (German) |
| Title:
|
Convergence behavior of the conjugate Shannon sampling series (English) |
| Author:
|
Boche, Holger |
| Language:
|
German |
| Journal:
|
Acta Mathematica et Informatica Universitatis Ostraviensis |
| ISSN:
|
1211-4774 |
| Volume:
|
5 |
| Issue:
|
1 |
| Year:
|
1997 |
| Pages:
|
13-26 |
| . |
| Category:
|
math |
| . |
| MSC:
|
41A05 |
| MSC:
|
42A38 |
| MSC:
|
42A50 |
| MSC:
|
42C40 |
| MSC:
|
94A12 |
| MSC:
|
94A20 |
| idZBL:
|
Zbl 0931.42024 |
| idMR:
|
MR1828547 |
| . |
| Date available:
|
2009-01-30T09:04:17Z |
| Last updated:
|
2013-10-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/120510 |
| . |
| Reference:
|
[1] N. Bary: A treatise on Trigonometrie Series Vol. 2.Pergamon Press LTD, Oxford 1964. |
| Reference:
|
[2] P. Butzer R. Nessel: Fourier Analysis and Approximation.Birkhäuser Verlag, New York, 1971. MR 0510857 |
| Reference:
|
[3] P. Butzer W. Splettstößer R. Stens: The Sampling Theorem and Linear Prediction in Signal Analysis.Jber. Deutsch. Math.-Vereinigung 90, (1988), S. 1-70. MR 0928745 |
| Reference:
|
[4] P. Butzer R. Stens: Sampling Theory for not necessarily band-limited Functions.SIAM Review, March 1992, Vol. 34, No. 1. MR 1156288 |
| Reference:
|
[5] P. Butzer W. Splettstösser: Approximation und Interpolation durch verallgemeinerte Abtastsummen.Forschungsbericht No. 2515 des Landes Nordrhein-Westfalen, Köln-Opladen, 1977. |
| Reference:
|
[6] P. Butzer: A survey of Whittaker-Shannon sampling theorem and some of its extensions.J. Math. Res. Exposition, 3 (1983), p. 185-212. MR 0724869 |
| Reference:
|
[7] L. Carleson: Convergence and growth of partial sums of Fourier series.Acta Math. 116, (1966), S. 135-157. Zbl 0144.06402, MR 0199631, 10.1007/BF02392815 |
| Reference:
|
[8] J. Churkin, C Jakowlew G. Wunsch: Theorie und Anwendung der Signalabtastung.Verlag Technik Berlin, Berlin 1966. |
| Reference:
|
[9] A. Jerri: The Shannon sampling theorem - its varios extensions and applications: a tutorial review.Proc. IEEE 65 (1977), 1565-1596. |
| Reference:
|
[10] R. J. Marks: Introduction to Shannon Sampling and Interpolation Theory.Sringer Texts in Electrical Engineering, Springer Verlag New York, 1991. Zbl 0729.94001, MR 1077829 |
| Reference:
|
[11] R. J. Marks ed: Advanced Topics in Shannon Sampling and Interpolation Theory.Sringer Texts in Electrical Engineering, Springer Verlag New York, 1993. Zbl 0905.94002, MR 1221743 |
| Reference:
|
[12] H. Triebel: Theory of Function Spaces II.Monographs in Mathematics, Birkhauser Verlag, Basel, 1992. Zbl 0763.46025, MR 1163193 |
| . |
