Representation of Differential Operators in Wavelet Basis∗
نویسندگان
چکیده
Existing work on the representation of operators in one-dimensional, compactly-supported, orthonormal wavelet bases is extended to two dimensions. The non-standard form of the representation of operators is given in separable two-dimensional, periodic, orthonormal wavelet bases. The matrix representation of the partial differential operators ∂x and ∂y are constructed and a closed form formula for the matrix representation of a general partial differential operator g(∂x, ∂y) is derived, where g is an analytic function.
منابع مشابه
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