| Title:
|
Über das Lokalisierungsprinzip bei mehrdimensionalen Shannonschen und konjugierten Shannonschen Abtastreihen (German) |
| Title:
|
On the localization principle for multi-dimensional Shannon and 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:
|
27-37 |
| . |
| Category:
|
math |
| . |
| MSC:
|
41A05 |
| MSC:
|
42A38 |
| MSC:
|
42A50 |
| MSC:
|
42C40 |
| MSC:
|
94A12 |
| MSC:
|
94A20 |
| idZBL:
|
Zbl 0931.42025 |
| idMR:
|
MR1828548 |
| . |
| Date available:
|
2009-01-30T09:04:24Z |
| Last updated:
|
2013-10-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/120511 |
| . |
| Reference:
|
[1] H. Boche: Konvergenzverhalten der konjugierten Shannonschen Abtastreihe.accepted in Acta Mathematica et Informatica Universitatis Ostraviensis. Zbl 0931.42024 |
| Reference:
|
[2] P. Butzer: HASH(0x3011b98).Personliche Mitteilung, RWTH-Aachen, 1995. Zbl 1002.47500 |
| 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: A survey of Whittaker-Shannon sampling theorem and some of its extensions.J. Math. Res. Exposition, 3 (1983), p. 185-212. MR 0724869 |
| Reference:
|
[6] D. P. Dryanow: Equiconvergence and equiapproximation for Entire Functions.Constructive Theory of Functions, Varna 91, Sofia 1992, p. 123-136. |
| Reference:
|
[7] D. P. Dryanow: On the convergence and saturation problem of a sequence of discrete linear Operators of exponential type in $L_p(-\infty, \infty)$ Spaces.Acta Math. Hung. 49 (1-2) (1987), p. 103-127. MR 0869666 |
| Reference:
|
[8] A. Jerri: The Shannon sampling theorem - its varios extensions and applications: a tutorial review.Proc. IEEE 65 (1977), 1565-1596. |
| Reference:
|
[9] 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:
|
[10] 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:
|
[11] S. Ries, R. L. Stens: A Localization Principle for the Approximation by Sampling Series.in Proc. Intern. Conf. Theory of Approximation of Functions, Izdat. Nauka, Moscow, 1987, pp. 507-509. |
| Reference:
|
[12] R. L. Stens: Approximation to Duration-Limited Functions by Sampling Sums.Signal Processing 2 (1980), pp. 173-176. MR 0574555, 10.1016/0165-1684(80)90007-9 |
| Reference:
|
[13] R. L. Stens: A Unified Apprvach to Sampling Theorems for Derivatives and Hilbert Transforms.Signal Processing 5 (1983), pp. 139-151. MR 0703507, 10.1016/0165-1684(83)90020-8 |
| Reference:
|
[14] R. L. Stens: Approximation of Functions by Whittaker's Cardinal Series.International Series of Numerical Mathematics, Vol. 71, 1984, pp. 137-149. Zbl 0582.42002, MR 0821793 |
| Reference:
|
[15] R. L. Stens: HASH(0x3028860).Personliche Mitteilung, RWTH-Aachen, 1995. Zbl 0835.94004 |
| . |
