Abstract
Let us consider a differential operator with constant coefficients of the form
acting on functions defined on the entire space Rn. Here r ∊ Rn is a vector with nonnegative integer components, |r| = r1+…+r n . If φ(y) (y = (y1, …, y n ) ∊ Rn) is an infinitely differentiable function that decays at infinity together with all its derivatives, then by means of the Fourier transformation one establishes the equality
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© 1994 Springer Basel AG
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Ashyralyev, A., Sobolevskii, P.E. (1994). Difference Schemes for Parabolic Equations. In: Well-Posedness of Parabolic Difference Equations. Operator Theory Advances and Applications, vol 69. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8518-8_4
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DOI: https://doi.org/10.1007/978-3-0348-8518-8_4
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9661-0
Online ISBN: 978-3-0348-8518-8
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