Found 57 Documents (Results 1–57)
The Cauchy integral formula in Hermitian, quaternionic and \(\mathfrak{osp}(4|2)\) Clifford analysis. (English) Zbl 1461.30113
MSC:
30G35
Cauchy’s formula in Clifford analysis: an overview. (English) Zbl 1461.30114
Bernstein, Swanhild (ed.), Topics in Clifford analysis. Special volume in honor of Wolfgang Sprößig on the occasion of his 70th birthday. Cham: Birkhäuser. Trends Math., 3-23 (2019).
Reviewer: Eckhard Hitzer (Tokyo)
Fischer decomposition for the symplectic group. (English) Zbl 1390.30054
Reviewer: Linda R. Sons (DeKalb)
MSC:
30G35
Some classes of singular integral equations of convolution type in the class of exponentially increasing functions. (English) Zbl 1386.45005
Fundaments of quaternionic Clifford analysis. II: Splitting of equations. (English) Zbl 1364.30056
MSC:
30G35
Polynomial solutions of the Hermitian submonogenic system. (English) Zbl 1355.30043
Reviewer: Wolfgang Sprößig (Freiberg)
MSC:
30G35
Bicomplex Hermitian Clifford analysis. (English) Zbl 1319.30040
MSC:
30G35
Boundary value problems on fractal hypersurfaces for the quaternionic Hermitian system in \(\mathbb R^{4n}\). (English) Zbl 1317.30072
MSC:
30G35
Split-quaternionic Hermitian Clifford analysis. (English) Zbl 1314.30110
MSC:
30G35
Special functions and systems in Hermitian Clifford analysis: higher codimension. (English) Zbl 1317.30076
Fundaments of quaternionic Clifford analysis. I: Quaternionic structure. (English) Zbl 1364.15016
Reviewer: Eckhard Hitzer (Tokyo)
Theory of several paravector variables: Bochner-Martinelli formula and Hartogs theorem. (English) Zbl 1304.30067
Fischer decomposition in symplectic harmonic analysis. (English) Zbl 1337.15021
Reviewer: Wolfgang Sprößig (Freiberg)
Riemann boundary value problem for H-2-monogenic function in Hermitian Clifford analysis. (English) Zbl 1333.30061
MSC:
30G35
Matrix Cauchy and Hilbert transforms in Hermitian quaternionic Clifford analysis. (English) Zbl 1318.30073
MSC:
30G35
On primitives and conjugate harmonic pairs in Hermitian Clifford analysis. (English) Zbl 1275.30019
MSC:
30G35
Half Dirichlet problem for the Hölder continuous matrix functions in Hermitian Clifford analysis. (English) Zbl 1291.30165
Boundary value problems for the quaternionic Hermitian system in \(\mathbb R^{4n}\). (English) Zbl 1276.30058
MSC:
30G35
Cauchy integral formulae in quaternionic Hermitean Clifford analysis. (English) Zbl 1275.30017
MSC:
30G35
On fundamental solutions in Clifford analysis. (English) Zbl 1291.30247
MSC:
30G35
Hölder norm estimate for a Hilbert transform in Hermitean Clifford analysis. (English) Zbl 1256.30046
MSC:
30G35
The Teodorescu operator in Clifford analysis. (English) Zbl 1254.30080
MSC:
30G35
Duality theorems in the Hermitian setting. (English) Zbl 1253.30059
MSC:
30G35
Boundary value problems associated to a Hermitian Helmholtz equation. (English) Zbl 1269.30050
Reviewer: Vladislav V. Kravchenko (Queretaro)
MSC:
30G35
A representation of sl(2; \(\mathbf C\)) on Clifford algebra of even dimension. (English) Zbl 1249.15032
MSC:
15A66
Gelfand-Tsetlin bases of orthogonal polynomials in Hermitean Clifford analysis. (English) Zbl 1242.30041
Reviewer: Sirkka-Liisa Eriksson (Tampere)
On the structure of complex Clifford algebra. (English) Zbl 1279.15020
Reviewer: Wolfgang Sprößig (Freiberg)
The Cauchy-Kovalevskaya extension theorem in Hermitian Clifford analysis. (English) Zbl 1226.30043
Reviewer: Michael Shapiro (Mexico City)
MSC:
30G35
Elements of metrodynamics: the general setting. (English) Zbl 1222.30043
Reviewer: Nele De Schepper (Gent)
MSC:
30G35
Taylor series in Hermitean Clifford analysis. (English) Zbl 1246.30080
Reviewer: Vladislav V. Kravchenko (Queretaro)
Quaternionic Hermitian spinor systems and compatibility conditions. (English) Zbl 1235.30030
Reviewer: Vladislav V. Kravchenko (Queretaro)
MSC:
30G35
Half Dirichlet problem for matrix functions on the unit ball in Hermitian Clifford analysis. (English) Zbl 1203.30056
MSC:
30G35
Hermitian generalization of the Rarita-Schwinger operators. (English) Zbl 1204.30039
Reviewer: Vasily A. Chernecky (Odessa)
The Howe dual pair in Hermitean Clifford analysis. (English) Zbl 1201.30061
Reviewer: Wolfgang Sprößig (Freiberg)
A Hermitian Cauchy formula on a domain with fractal boundary. (English) Zbl 1201.30060
Reviewer: Wolfgang Sprößig (Freiberg)
MSC:
30G35
Hermitean Téodorescu transform decomposition of continuous matrix functions on fractal hypersurfaces. (English) Zbl 1191.15006
On the CK-extension for a special overdetermined system in complex Clifford analysis. (English) Zbl 1168.30327
Sabadini, Irene (ed.) et al., Hypercomplex analysis. Selected papers of the 6th ISAAC conference, Ankara, Turkey, August 13–18, 2007. Basel: Birkhäuser (ISBN 978-3-7643-9892-7/hbk; 978-3-7643-9893-4/e-book). Trends in Mathematics, 115-124 (2009).
MSC:
30G35
Discrete Clifford analysis: a germ of function theory. (English) Zbl 1173.30034
Sabadini, Irene (ed.) et al., Hypercomplex analysis. Selected papers of the 6th ISAAC conference, Ankara, Turkey, August 13–18, 2007. Basel: Birkhäuser (ISBN 978-3-7643-9892-7/hbk; 978-3-7643-9893-4/e-book). Trends in Mathematics, 37-53 (2009).
Reviewer: Vasily A. Chernecky (Odessa)
MSC:
30G35
Hermitian decomposition of continuous functions on a fractal surface. (English) Zbl 1169.30022
MSC:
30G35
Invariant syzygies for the Hermitian Dirac operator. (English) Zbl 1175.58014
Reviewer: Themistocles M. Rassias (Athens)
MSC:
58J90
Generalized hermitian Clifford-Hermite polynomials and the associated wavelet transform. (English) Zbl 1169.30023
Reviewer: Wolfgang Sprößig (Freiberg)
Hermitean Cauchy integral decomposition of continuous functions on hypersurfaces. (English) Zbl 1180.30052
Reviewer: Vladislav V. Kravchenko (Queretaro)
MSC:
30G35
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