Automorphic forms in Clifford analysis
RS Krausshar - Complex Variables, Theory and Application: An …, 2002 - Taylor & Francis
Complex Variables, Theory and Application: An International Journal, 2002•Taylor & Francis
In this paper we discuss the possibility of extending the classical theory of automorphic
forms to Clifford analysis within the framework of its regularity concepts. To several weights
we construct with special functions from Clifford analysis Clifford-valued automorphic forms
in a hypercomplex variable that are solutions of iterated homogeneous Dirac equations in
\shadR^n, in particular, generalizations of the classical Eisenstein series and Poincaré
series on the upper half-space, on spatial octants and on the unit ball within classes of …
forms to Clifford analysis within the framework of its regularity concepts. To several weights
we construct with special functions from Clifford analysis Clifford-valued automorphic forms
in a hypercomplex variable that are solutions of iterated homogeneous Dirac equations in
\shadR^n, in particular, generalizations of the classical Eisenstein series and Poincaré
series on the upper half-space, on spatial octants and on the unit ball within classes of …
In this paper we discuss the possibility of extending the classical theory of automorphic forms to Clifford analysis within the framework of its regularity concepts. To several weights we construct with special functions from Clifford analysis Clifford-valued automorphic forms in a hypercomplex variable that are solutions of iterated homogeneous Dirac equations in $ {\shadR}^n $ , in particular, generalizations of the classical Eisenstein series and Poincaré series on the upper half-space, on spatial octants and on the unit ball within classes of polymonogenic functions.
Taylor & Francis Online以上显示的是最相近的搜索结果。 查看全部搜索结果