| Title:
|
Eine axiomatische Charakterisierung der Hilbert-Transformation (German) |
| Title:
|
An axiomatic characterization of Hilbert transform (English) |
| Author:
|
Boche, Holger |
| Language:
|
German |
| Journal:
|
Acta Mathematica et Informatica Universitatis Ostraviensis |
| ISSN:
|
1211-4774 |
| Volume:
|
8 |
| Issue:
|
1 |
| Year:
|
2000 |
| Pages:
|
11-23 |
| . |
| Category:
|
math |
| . |
| MSC:
|
42A50 |
| MSC:
|
42B20 |
| MSC:
|
44A15 |
| MSC:
|
93A05 |
| MSC:
|
93A10 |
| idZBL:
|
Zbl 1028.44002 |
| idMR:
|
MR1800218 |
| . |
| Date available:
|
2009-01-30T09:07:46Z |
| Last updated:
|
2013-10-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/120555 |
| . |
| Reference:
|
[1] P. K. Das: Optical Signal Processing-Fundamentals.Springer-Verlag, Berlin Heidelberg New York, (1991). |
| Reference:
|
[2] H. Boche: Das Verhalten der Hilbert-Transformation und eine Problemstellung von W. Cauer.Proc. ITG a. IEEE CAS, Berlin (1995), S. 1-6. |
| Reference:
|
[3] H. Boche: Charakterisierung des numerischen und analytischen Verhaltens der Hilbert-Transformation.Kleinheubacher Berichte 39, (1996), S. 1-12, Proc. International Union of Radio Science |
| Reference:
|
[4] H. Boche: Untersuchungen zum Verhalten des Hardy-Littlewood Maximaloperators und des Poissonschen Integrals für VMO-Funktionen.accepted in Illinois Journal of Mathematics |
| Reference:
|
[5] H. Boche: Verhalten der Cauchy-Transformation und der Hilbert-Transformation für auf dem Einheitskreis stetige Funktionen.accepted in Archives of Mathematics Zbl 0970.30023 |
| Reference:
|
[6] H. Boche: Untersuchungen zur abgeschnittenen Hilbert-Transformation von BMO-Funktionen und VMO-Funktionen.accepted in Bulletin of The Belgian Mathematical Society Simon Stevin Zbl 0934.30028, MR 1721752 |
| Reference:
|
[7] 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:
|
[8] P. Butzer R. Stens: Sampling Theory for not necessarily band-limited Functions.SIAM Review, March 1992, Vol. 34, No. 1. MR 1156288 |
| Reference:
|
[9] 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:
|
[10] J. Garcia-Cuerva J. Rubio De Francia: Weighted norm Inequalities and related topics.North-Holland Mathematics Studies, New York, 1986. MR 0807149 |
| Reference:
|
[11] J. B. Garnett: Bounded Analytic Functions.Pure and applied Mathematics Bd. 96, Academic Press, New York, 1981. Zbl 0469.30024, MR 0628971 |
| Reference:
|
[12] J. W. Goodman: Introduction to Fourier Optics.McGraw-Hill, New York, (1988). |
| Reference:
|
[13] R. J. Marks: Introduction to Shannon Sampling and Interpolation Theory.Springer Texts in Electrical Engineering, Springer Verlag New York, 1991. Zbl 0729.94001, MR 1077829 |
| Reference:
|
[14] R. J. Marks ed: Advanced Topics in Shannon Sampling and Interpolation Theory.Springer Texts in Electrical Engineering, Springer Verlag New York, 1993. Zbl 0905.94002, MR 1221743 |
| Reference:
|
[15] W. Marten, W. Mathis: Theory of Power in Electrical Systems and Networks and Decomposition of Hilbert Transforms.Proc of the intern. Symp. MTNS' 93, Vol II, Akademie Verlag, Berlin, (1994), p. 781-784. Zbl 0812.94026 |
| Reference:
|
[16] W. Mathis: Analysis of Power in Nonlinear Electrical Circuits.Intern J. on Theoretical Electrotechnics, No. 5, (1994), p. 53-60. |
| Reference:
|
[17] E. M. Stein: Singular Integrals and Differentiability Properties of Functions.Priceton University Press, Princton New Jersey, (1970). Zbl 0207.13501, MR 0290095 |
| Reference:
|
[18] A. Zygmund: Trigonometric Series I, II.Cambridge Mathematical Library, Cambridge University Press, Cambridge, 1990. |
| . |
