| [1] Szego G. Über orthogonale polynome, die zu einer gegebenen Kurve der komplexen Ebene Gehören. Math Z, 1921, 9:218-270
[2] Bell S. The Cauchy Transform, Potential Theory and Conformal Mapping. Boca Roton:CRC Press, 1992
[3] Kerzman N, Stein E M. The Cauchy kernel, the Szegö kernel and the Riemann mapping function. Math Ann, 1971, 236:85-93
[4] Bell S. Solving the Dirichlet problem in the plane by means of the Cauchy integral. Indiana Univ Math J, 1990, 39(4):1355-1371
[5] Bell S. The Szegö projection and the classical objects of potential theory in the plane. Duke Math J, 1991, 64(1):1-26
[6] Bernstein S, Lanzani L. Szegö projections for Hardy spaces of monogenic functions and applications. Int J Math Math Sci, 2002,29:613-624
[7] Calderbank D. Clifford Analysis for Dirac Operators on Manifolds with Boundary. Bonn:Max-Planck-Institute Für Mathematik, 1996
[8] Delanghe R. On some properties of the Hilbert transform in Euclidean space. Bull Belg Math Soc Simon Stevin, 2004, 11:163-180
[9] Constales D, Krausshar R S. Szegö and polymonogenic Bergman kernels for half-space and strip domains, and single-periodic functions in Clifford analysis. Complex Var Elliptic Equ, 2002, 47(4):349-360
[10] Delanghe R, Brackx F. Hypercomplex function theory and Hilbert modules with reproducing kernel. Proc London Math Soc, 1978, 37(3):545-576
[11] Ryan J. Complexified Clifford analysis. Complex Var Theory Appl, 1982,1(1):119-149
[12] Brackx F, Delanghe R, Sommen F. Clifford Analysis. London:Pitman, 1982
[13] Delanghe R, Sommen F, Sou?ek V. Clifford Analysis and Spinor Valued Functions. Dordrecht:Kluwer Academic Publishers, 1992
[14] Gürlebeck K, Sprössig W. Quaternionic and Clifford Calculus for Physicists and Engineers. Chichester, New York:Wiley, 1997
[15] Gilbert J E, Murry M A M. Clifford Algebra and Dirac Operators in Harmonic Analysis. Cambridge Studies in Advances Mathematics 26. Cambridge:Cambridge University Press, 1991
[16] McIntosh A. Clifford algebras, Fourier transforms, and singular convolution operators on Lipschitz surfaces. Rev Mat Iberoamericana, 1994, 10(3):665-721
[17] Ku M, Du J Y. On integral representation of spherical k-regular functions in Clifford analysis. Adv Appl Clifford Alg, 2009, 19(1):83-100
[18] Ku M. Integral formula of isotonic functions over unbounded domain in Clifford analysis. Adv Appl Clifford Alg, 2010, 20(1):57-70
[19] Ku M, Du J Y, Wang D S. On generalization of Martinelli-Bochner integral formula using Clifford analysis. Adv Appl Clifford Alg, 2010, 20(2):351-366
[20] Brackx F, et al. Fundaments of Hermitean Clifford analysis. I. Complex structure. Complex Anal Oper Theory, 2007, 1:341-365
[21] Brackx F, et al. Fundaments of Hermitean Clifford analysis. Ⅱ. Splitting of h-monogenic equations. Complex Var Elliptic Equ, 2007, 52(10/11):1063-1079
[22] Rocha-Chavez R, Shapiro M, Sommen S. Integral theorems for functions and differential forms in Cm//Research Notes in Mathematics 428. New York:Chapman Hall/CRC, 2002
[23] Brackx F, De Schepper H, Sommen F. The Hermitian Clifford analysis toolbox. Adv Appl Clifford Alg, 2008, 18:451-487
[24] Brackx F, De Knock B, De Schepper H, Sommen F. On Cauchy and Martinelli-Bochner integral formulae in Hermitean Clifford analysis. Bull Braz Math Soc, 2009, 40(3):395-416
[25] Brackx F, De Knock B, De Schepper H. A matrix Hilbert transform in Hermitean Clifford analysis. J Math Anal Appl, 2008, 344:1068-1078
[26] Ku M, Wang D S. Half Dirichlet problem for matrix functions on the unit ball in Hermitean Clifford analysis. J Math Anal Appl, 2011, 374:442-457
[27] Abreu Blaya R, Bory Reyes J, Moreno García T. Hermitian decomposition of continuous functions on a fractal surface. Bull Braz Math Soc, 2009, 40(1):107-115
[28] Abreu Blaya R, Bory Reyes J, Brackx F, De Knock B, De Schepper H, Peña Peña D, Sommen F. Hermitean Cauchy integral decomposition of continuous functions on hypersurfaces. Boundary Value Problems, 2008, 2008:Article ID 425256
[29] Eelbode D, He F L. Taylor series in Hermitean Clifford analysis. Complex Anal Oper Theory, 2011, 5(1):97-111
[30] Ku M, Kähler U,Wang D S. Half Dirichlet problem for the Hölder continuous matrix functions in Hermitian Clifford analysis. Complex Var Elliptic Equ, 2013, 58(7):1037-1056 |