In this paper, we have shown how to use the heat operator to constuct more Jacobi forms. This is analogous to results given in [4]. Recently, Theorem 3.1 has been used to construct linearly independent bilinear differential operators, called Rankin-Cohen type brackets, on the spaces of Jacobi forms. D. Zagier pointed out that Theorem 3.1 can be formulated in terms of Fourier-Jacobi expansions of Siegel forms of higher degree, so one can expect that a more general theory can be obtained in terms of Siegel forms. In a future work we shall pursue this more general theory from the point of view of Fourier-Jacobi expansions of Siegel forms of higher degree.
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机译：在本文中，我们展示了如何使用热算子构造更多的雅可比形式。这类似于[4]中给出的结果。最近，定理3.1已用于在Jacobi形式的空间上构造线性独立的双线性微分算子，称为Rankin-Cohen型括号。 D. Zagier指出，定理3.1可以用更高程度的Siegel形式的Fourier-Jacobi展开来表示，因此可以期望可以根据Siegel形式获得更通用的理论。在将来的工作中，我们将从更高程度的Siegel形式的Fourier-Jacobi展开的观点出发，继续采用这种更笼统的理论。
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