An axiomatic characterization of Hilbert transform

Holger Boche

Acta Mathematica et Informatica Universitatis Ostraviensis (2000)

  • Volume: 08, Issue: 1, page 11-23
  • ISSN: 1804-1388

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Boche, Holger. "Eine axiomatische Charakterisierung der Hilbert-Transformation." Acta Mathematica et Informatica Universitatis Ostraviensis 08.1 (2000): 11-23. <http://eudml.org/doc/23834>.

@article{Boche2000,
author = {Boche, Holger},
journal = {Acta Mathematica et Informatica Universitatis Ostraviensis},
keywords = {Hilbert transform; axiomatic system theory; singular integral},
language = {ger},
number = {1},
pages = {11-23},
publisher = {University of Ostrava},
title = {Eine axiomatische Charakterisierung der Hilbert-Transformation},
url = {http://eudml.org/doc/23834},
volume = {08},
year = {2000},
}

TY - JOUR
AU - Boche, Holger
TI - Eine axiomatische Charakterisierung der Hilbert-Transformation
JO - Acta Mathematica et Informatica Universitatis Ostraviensis
PY - 2000
PB - University of Ostrava
VL - 08
IS - 1
SP - 11
EP - 23
LA - ger
KW - Hilbert transform; axiomatic system theory; singular integral
UR - http://eudml.org/doc/23834
ER -

References

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  2. H. Boche, Das Verhalten der Hilbert-Transformation und eine Problemstellung von W. Cauer, Proc. ITG a. IEEE CAS, Berlin (1995), S. 1-6. (1995) 
  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 (1996) 
  4. H. Boche, Untersuchungen zum Verhalten des Hardy-Littlewood Maximaloperators und des Poissonschen Integrals für VMO-Funktionen, accepted in Illinois Journal of Mathematics 
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  6. H. Boche, Untersuchungen zur abgeschnittenen Hilbert-Transformation von BMO-Funktionen und VMO-Funktionen, accepted in Bulletin of The Belgian Mathematical Society Simon Stevin Zbl0934.30028MR1721752
  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. (1988) MR0928745
  8. P. Butzer R. Stens, Sampling Theory for not necessarily band-limited Functions, SIAM Review, March 1992, Vol. 34, No. 1. (1992) MR1156288
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  10. J. Garcia-Cuerva J. Rubio De Francia, Weighted norm Inequalities and related topics, North-Holland Mathematics Studies, New York, 1986. (1986) MR0807149
  11. J. B. Garnett, Bounded Analytic Functions, Pure and applied Mathematics Bd. 96, Academic Press, New York, 1981. (1981) Zbl0469.30024MR0628971
  12. J. W. Goodman, Introduction to Fourier Optics, McGraw-Hill, New York, (1988). (1988) 
  13. R. J. Marks, Introduction to Shannon Sampling and Interpolation Theory, Springer Texts in Electrical Engineering, Springer Verlag New York, 1991. (1991) Zbl0729.94001MR1077829
  14. R. J. Marks ed, Advanced Topics in Shannon Sampling and Interpolation Theory, Springer Texts in Electrical Engineering, Springer Verlag New York, 1993. (1993) Zbl0905.94002MR1221743
  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. (1994) Zbl0812.94026
  16. W. Mathis, Analysis of Power in Nonlinear Electrical Circuits, Intern J. on Theoretical Electrotechnics, No. 5, (1994), p. 53-60. (1994) 
  17. E. M. Stein, Singular Integrals and Differentiability Properties of Functions, Priceton University Press, Princton New Jersey, (1970). (1970) Zbl0207.13501MR0290095
  18. A. Zygmund, Trigonometric Series I, II, Cambridge Mathematical Library, Cambridge University Press, Cambridge, 1990. (1990) 

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