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학술저널

Fundamental Solutions of Homogeneous Elliptic Operators with Constant Coefficients

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with homogeneous principal part. The classical prototypes of such an operator is Laplace operator. Fundamental solutions for genreal homogeneous differential operators of arbitrary order on Rⁿ are discussed.

Abstract

1. Introduction

2. Extensions of Homogeneous Distributions on Rⁿ∖{0}

3. Fourier Transformation of Homogeneous Distributions

4. Fundamental Solutions of Homogeneous Differential Operators with Constant Coefficients

5. References

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