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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, constant coefficients is a term applied to differential operators, and also some difference operators, to signify that they contain no functions of the independent variables, other than constant functions. In other words, it singles out special operators, within the larger class of operators having variable coefficients. Such constant coefficient operators have been found to be the easiest to handle, in several respects. They include for example the Laplacian of potential theory and other major examples of mathematical physics.For partial differential equations, the constant-coefficient operators are characterised geometrically by their translation invariance, and algebraically as polynomials in the partial derivatives. According to the Ehrenpreis Malgrange theorem, they all have fundamental solutions.
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