Generalized multidimensional Hilbert transformsin Clifford analysis

International Journal of Mathematics and Mathematical Sciences

Volumn 2006, Issue , 2006, Pages

  Brackx, Fred ^a   De Knock, Bram ^a   De Schepper, Hennie ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33749540111     PISSN: 01611712     EISSN: 16870425     Source Type: Journal    
DOI: 10.1155/IJMMS/2006/98145     Document Type: Article

References (27)

1. S. Bernstein L. Lanzani Szego projections for Hardy spaces of monogenic functions and applications International Journal of Mathematics and Mathematical Sciences 29 2002 10 613-624
2. F. Brackx B. De Knock H. De Schepper Multi-vector spherical monogenics, spherical means and distributions in Clifford analysis Acta Mathematica Sinica (English Series) 21 2005 5 1197-1208
3. F. Brackx B. De Knock H. De Schepper On the Fourier Spectra of Distributions in Clifford Analysis to appear in Chinese Annals of Mathematics, Ser. B
4. F. Brackx B. De Knock H. De Schepper D. Eelbode A calculus scheme for Clifford distributions to appear in Tokyo Journal of Mathematics
5. F. Brackx B. De Knock H. De Schepper F. Sommen Distributions in clifford analysis: An overview S.-L. Eriksson Clifford Analysis and Applications (Proceedings of the Summer School, Tampere, August 2004) Institute of Mathematics, Tampere University of Technology Tampere Research Report no. 82 2006 59-73
6. F. Brackx H. De Schepper On the Fourier transform of distributions and differential operators in Clifford analysis Complex Variables. Theory and Application 49 2004 15 1079-1091
7. F. Brackx H. De Schepper Hilbert-Dirac operators in Clifford analysis Chinese Annals of Mathematics. Series B 26 2005 1 1-14
8. F. Brackx R. Delanghe F. Sommen Clifford Analysis Research Notes in Mathematics 76 Pitman Massachusetts 1982 x+308
9. F. Brackx R. Delanghe F. Sommen Spherical means, distributions and convolution operators in Clifford analysis Chinese Annals of Mathematics. Series B 24 2003 2 133-146
10. F. Brackx R. Delanghe F. Sommen T. Qian T. Hempfling A. McIntosch F. Sommen Spherical means and distributions in Clifford analysis Advances in Analysis and Geometry. New Developments Using Clifford Algebras Trends in Mathematics 65-96 Birkhäuser Basel 2004
11. p spaces of monogenic functions Clifford Algebras and Their Applications in Mathematical Physics (Montpellier, 1989) Fund. Theories Phys. 47 177-188 Kluwer Academic Dordrecht 1992
12. P. Calderbank Clifford analysis for Dirac operators on manifolds-with-boundary Max Planck-Institut für Mathematik, Bonn, 1996
13. J. Cnops An Introduction to Dirac Operators on Manifolds Progress in Mathematical Physics 24 Birkhäuser Boston Massachusetts 2002 xii+211
14. R. Delanghe On the Hardy spaces of harmonic and monogenic functions in the unit ball of ℝ m + 1 Acoustics, Mechanics, and the Related Topics of Mathematical Analysis 137-142 World Scientific New Jersey 2002
15. R. Delanghe Some remarks on the principal value kernel in ℝ m Complex Variables. Theory and Application 47 2002 8 653-662
16. R. Delanghe On some properties of the Hilbert transform in Euclidean space Bulletin of the Belgian Mathematical Society. Simon Stevin 11 2004 2 163-180
17. R. Delanghe F. Sommen V. Souček Clifford Algebra and Spinor-Valued Functions Mathematics and Its Applications 53 Kluwer Academic Dordrecht 1992 xviii+485
18. J. E. Gilbert M. A. M. Murray Clifford Algebras and Dirac Operators in Harmonic Analysis Cambridge Studies in Advanced Mathematics 26 Cambridge University Press Cambridge 1991 viii+334
19. K. Gürlebeck W. Sprößig Quaternionic and Clifford Calculus for Physicists and Engineers John Wiley & Sons Chichester Mathematical Methods in Practice 1997
20. J. Horváth Sur les fonctions conjuguées à plusieurs variables Koninklijke Nederlandse Akademie van Wetenschappen. Proceedings. Series A. Mathematical Sciences \textbf {56} = Indagationes Mathematicae 15 1953 17-29 French
21. J. Horváth Singular integral operators and spherical harmonics Transactions of the American Mathematical Society 82 1956 52-63
22. A. McIntosh J. Ryan Clifford algebras, Fourier theory, singular integrals, and harmonic functions on Lipschitz domains Clifford Algebras in Analysis and Related Topics (Fayetteville, AR, 1993) Studies in Advanced Mathematics 33-87 CRC Press Florida 1996
23. M. Mitrea Clifford Wavelets, Singular Integrals, and Hardy Spaces Lecture Notes in Mathematics 1575 Springer Berlin 1994 xii+116
24. T. Qian Th. Hempfling A. McIntosh F. Sommen Advances in Analysis and Geometry. New Developments Using Clifford Algebras Trends in Mathematics Birkhäuser Basel 2004 xvi+376
25. J. Ryan Basic Clifford analysis Cubo Matemática Educacional 2 2000 226-256
26. J. Ryan D. Struppa Dirac Operators in Analysis Pitman Research Notes in Mathematics Series 394 Longman Harlow 1998 vi+244
27. F. Sommen Hypercomplex Fourier and Laplace transforms. II Complex Variables. Theory and Application 1 1983 2-3 209-238