Explanation of notation

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What is meant by the following:

$$J \circ d_{(x,y)}f $$

Where $J$ is a 2 by 2 matrix, f is a function from $\Omega$ to $\mathbb{R}^2$ ($\Omega \subset \mathbb{R}^2)$, and x and y are defined by $(x,y) \in \Omega$.

This is part of a question but I cant start with it because I don't understand what they mean by the convolution above.

Any help?