Translation-invariant differential operators are polynomial in the differentiation operator with coefficient functions of this type.
Translation-invariant differential operators are polynomial in the differentiation operator with coefficient functions of this type. The only continuous real-valued functions from a space with the indiscrete topology are of this type. The Maximum Modulus Principle states that a complex function will have this property on any region where it is analytic and bounded. For a real-valued function of this type, the Fourier transform is a multiple of a Dirac delta function. For a function from R to R, this property implies that the graph is a horizontal line. FTP, give this adjective describing a function which attains only a single value.
Translation-invariant differential operators are polynomial in the differentiation operator with coefficient functions of this type.
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