Clifford analysis on super-space II

被引:0
作者
Sommen, F
机构
来源
PROGRESS IN ANALYSIS, VOLS I AND II | 2003年
关键词
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we study certain properties for nullsolutions of a Dirac-type operator on super-space as introduced in our papers (12) and (13). In particular we solve the inhomogeneous equation. We also discuss analysis on the level of abstract vector variables.
引用
收藏
页码:383 / 405
页数:23
相关论文
共 50 条
[41]   The Clifford Algebra of Physical Space and Elko Spinors [J].
Vaz, Jayme, Jr. .
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2018, 57 (02) :582-601
[42]   CLIFFORD ALGEBRA AND SPINOR GROUP OF A HILBERT SPACE [J].
HARPE, PDL .
COMPOSITIO MATHEMATICA, 1972, 25 (03) :245-261
[43]   Combinatorics and Clifford analysis [J].
Sabadini, I ;
Sommen, FC .
CLIFFORD ANALYSIS AND ITS APPLICATIONS, 2001, 25 :361-376
[44]   Clifford-Hermite wavelets in Euclidean space [J].
Brackx, F ;
Sommen, F .
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2000, 6 (03) :299-310
[45]   Clifford-Fourier transform on hyperbolic space [J].
Lian, Pan ;
Bao, Gejun ;
De Bie, Hendrik ;
Constales, Denis .
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (10) :3666-3675
[46]   REPRESENTATION FUNCTIONS OF GROUP OF MOTIONS OF CLIFFORD SPACE [J].
WENBER, DL .
JOURNAL OF MATHEMATICAL PHYSICS, 1967, 8 (01) :135-&
[47]   The Clifford algebra of physical space and Dirac theory [J].
Vaz, Jayme, Jr. .
EUROPEAN JOURNAL OF PHYSICS, 2016, 37 (05)
[48]   Super-Poincare algebras, space-times, and supergravities. II [J].
Santi, A. ;
Spiro, A. .
JOURNAL OF MATHEMATICAL PHYSICS, 2012, 53 (03)
[49]   The Extreme Universe Space Observatory on a Super-Pressure Balloon II Mission [J].
Wiencke, L. ;
Olinto, A. .
36TH INTERNATIONAL COSMIC RAY CONFERENCE, ICRC2019, 2021,
[50]   Dini Clifford Lipschitz functions for the first Hankel-Clifford transform in the space Lμ2 [J].
Mahfoud, Ayoub ;
El Hamma, Mohamed .
JOURNAL OF ANALYSIS, 2022, 30 (02) :909-918