On Linear Exceptional Sets of Solutions of Linear Partial Differential Equations with Constant Coefficients | Zendy

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On Linear Exceptional Sets of Solutions of Linear Partial Differential Equations with Constant Coefficients

Author(s) -

Akira Kaneko

Publication year - 1975

Publication title -

publications of the research institute for mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.786

H-Index - 39

eISSN - 1663-4926

pISSN - 0034-5318

DOI - 10.2977/prims/1195191471

Subject(s) - mathematics , constant coefficients , linear differential equation , constant (computer programming) , corollary , mathematical analysis , fourier transform , convex hull , lemma (botany) , regular polygon , combinatorics , differential equation , geometry , computer science , ecology , poaceae , biology , programming language

Thus far we have studied in [1], [2] and [4] the possibility of extension of solutions of linear partial differential equations p(D)u = Q with constant coefficients to various exceptional sets. There, the exceptional sets were of those types to which the convex analysis, or the technique of the Fourier transform based on the growth order estimation, was applicable. Here we treat a new kind of exceptional set. Let K = {(0,..., 0, x,,); — 1 <*„

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