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  "body": "\n## Summary\n\nA multidimensional transform is an [[integral transform|YCK709QB06]], or a discrete analogue of one, applied to a function of several variables.\nThe main examples are the multidimensional [[Fourier transform|DPVM34ADZV]], the [[multidimensional Laplace transform|QT3M720TCV]], the [[multidimensional Mellin transform|92JY94ZJD8]] and, for sequences indexed by $\\Z^n$, the [[multidimensional Z-transform|A7NF067M7N]].\nWhen the kernel is a product of one-variable kernels, the transform is the composition of one-variable transforms in each variable.\nSuch transforms are used for partial differential equations, for images and other multidimensional signals, and in probability for joint distributions.\n\n## Explanations\n\n### L1 human\n\nAn image is a function of two variables, the position across and the position down.\nA multidimensional transform analyzes such a function in all its variables at once.\nOften it is enough to transform in the first variable, then in the second, and so on.\nFor example, the two-dimensional Fourier transform of a picture is obtained by transforming each row and then each column.\n",
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