Existence of operator bases for the space of solutions of linear partial differential equations with constant coefficients. I

DOI10.3792/PJAA.63.311zbMATH Open0673.35014OpenAlexW4250509221MaRDI QIDQ1120722

H. Charrière

Publication date: 1987

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1195513570

zbMATH Keywords

constant coefficientsexplicit representationhigher-orderpartial Fourier transformpartial convolution

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) General theory of PDEs and systems of PDEs with constant coefficients (35E20) Initial value problems for linear higher-order PDEs (35G10) Solutions to PDEs in closed form (35C05)

Cites Work

• Transformé de Fourier et produit de convolution de bons opérateurs. (Fourier transforms and products of convolutions)

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Existence of operator bases for the space of solutions of linear partial differential equations with constant coefficients. II

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