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In complex analysis, the Bergman kernels for two biholomorphically equivalent complex domains satisfy the transformation formula. Recently new Bergman theory of slice regular functions of the quaternion variables has been investigated. In this paper we construct the transformation formula of the slice Bergman kernels under slice biregular functions in the setting of the quaternion variables.
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참고문헌 (9)
참고문헌 신청
S. Bergman / 1970 / The kernel function and conformal mapping / American Mathematical Society
F. Colombo / 2009 / Extension results for slice regular functions of a quaternionic variable / Adv. Math 222(5):1793~1808
F. Colombo / 2013 / On two approaches to the Bergman theory for slice regular functions / Advances in hypercomplex analysis :39~54
F. Colombo / 2011 / The Bergman-Sce transform for slice monogenic functions / Math. Methods Appl. Sci 34(15):1896~1909
F. Colombo / 2012 / On slice biregular functions and isomorphisms of Bergman spaces / Complex Var. Elliptic Equ 57(7-8):825~839
F. Colombo / 2009 / Extension results for slice regular functions of a quaternionic variable / Adv. Math 222(5):1793~1808
F. Colombo / 2013 / On two approaches to the Bergman theory for slice regular functions / Advances in hypercomplex analysis :39~54
F. Colombo / 2011 / The Bergman-Sce transform for slice monogenic functions / Math. Methods Appl. Sci 34(15):1896~1909
F. Colombo / 2012 / On slice biregular functions and isomorphisms of Bergman spaces / Complex Var. Elliptic Equ 57(7-8):825~839
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