## Abstract K. Igari has constructed a distribution nullβsolution for Fuchsian partial differential operators in the sense of BaouendiβGoulaouic, that is, operators with one Fuchsian variable. Our aim is to extend his result for operators having several Fuchsian variables with analytic coefficients
Differential Operators on Jacobi Forms of Several Variables
β Scribed by YoungJu Choie; Haesuk Kim
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 196 KB
- Volume
- 82
- Category
- Article
- ISSN
- 0022-314X
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β¦ Synopsis
In this paper we study the Rankin Cohen type bilinear differential operators, more generally, multilinear differential operators on the space of Jacobi forms on H_C n as well as on the space of modular forms on the orthogonal group O(2, n+2). These types of Jacobi forms have been studied by Gritsenko and Krieg. 2000
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In this paper, the analogy of Bol's result to the several variable function case is discussed. One shows how to construct Siegel modular forms and Jacobi forms of higher degree, respectively, using Bol's result.
## On the diagonalization of holomorphic matrix functions of several variables By DIETER HETTNEMANN in Berlin (Eingegangen am 10.7. 1979) Let X c C n be a domain of holomorphy, L(Ck) be the space of complex k x kmatrices and GL(Ck) be the group of the invertible complex k x k-matrices. Two holom