First Order Differential Operators Associated to the Space of Monogenic Functions in Parameter-Depending Clifford Algebras

被引：3

作者：

Ariza, Eusebio ^{[1
]}

Vanegas, Judith ^{[1
]}

Vargas, Franklin ^{[2
]}

机构：

[1] Univ Simon Bolivar, Dept Matemat Puras & Aplicadas, Caracas, Venezuela

[2] Univ Simon Bolivar, Dept Comp Cient & Estadist, Caracas, Venezuela

来源：

ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2016年 / 26卷 / 01期

关键词：

Associated spaces; Initial value problems; Parameter-depending Clifford algebras; INITIAL-VALUE PROBLEMS;

D O I：

10.1007/s00006-015-0577-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is aimed at finding all linear first order partial differential operators with parameter-depending Clifford-algebra-valued coefficients, that are associated to the generalized Cauchy-Riemann operator. In order to obtain the conditions on the coefficients of , a Leibniz rule for functions with values in a more general Clifford-type algebra is proved. Using the theory of associated spaces, we show the construction of solutions of initial value problems involving these operators.

引用

页码：13 / 29

页数：17

共 47 条

[1] First Order Differential Operators Associated to the Space of Monogenic Functions in Parameter-Depending Clifford Algebras
Eusebio Ariza
Judith Vanegas
Franklin Vargas
[J]. Advances in Applied Clifford Algebras, 2016, 26 : 13 - 29
[2] A boundary value problem for monogenic functions in parameter-depending Clifford algebras
Tutschke, Wolfgang
Judith Vanegas, Carmen
[J]. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2011, 56 (1-4) : 113 - 118
[3] First Order Differential Operators Associated to the Space of q-Monogenic Functions
Ariza Garcia, Eusebio
Di Teodoro, Antonio
Vanegas, Judith
[J]. ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2017, 27 (01) : 135 - 147
[4] First Order Differential Operators Associated to the Space of q-Monogenic Functions
Eusebio Ariza García
Antonio Di Teodoro
Judith Vanegas
[J]. Advances in Applied Clifford Algebras, 2017, 27 : 135 - 147
[5] A Dirichlet Problem for the First Order Inhomogeneous Meta-Monogenic Equation in Parameter Depending Clifford Algebras
Di Teodoro, Antonio
Vanegas, Judith
[J]. COMPLEX ANALYSIS AND OPERATOR THEORY, 2015, 9 (05) : 1025 - 1036
[6] A Dirichlet Problem for the First Order Inhomogeneous Meta-Monogenic Equation in Parameter Depending Clifford Algebras
Antonio Di Teodoro
Judith Vanegas
[J]. Complex Analysis and Operator Theory, 2015, 9 : 1025 - 1036
[7] Generalized monogenic functions satisfying differential equations with anti-monogenic right-hand sides on Clifford algebras depending on parameters
Di Teodoro, Antonio
[J]. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2013, 58 (12) : 1715 - 1724
[8] Associated Operators to the Space of Meta-q-Monogenic Functions
Vanegas, C. J.
Vargas, F. A.
[J]. CLIFFORD ANALYSIS AND RELATED TOPICS: IN HONOR OF PAUL A. M. DIRAC, CART 2014, 2018, 260 : 141 - 152
[9] Constructing Lie algebras of first order differential operators
Draisma, J
[J]. JOURNAL OF SYMBOLIC COMPUTATION, 2003, 36 (05) : 685 - 698
[10] FIRST-ORDER SELFADJOINT SINGULAR DIFFERENTIAL OPERATORS IN A HILBERT SPACE OF VECTOR FUNCTIONS
Ipek, Pembe
Yilmaz, Bulent
Ismailov, Zameddin I.
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017,

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