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Modules over a ring of differential operators. Study of the fundamental solutions of equations with constant coefficients. (English. Russian original) Zbl 0233.47031

Funct. Anal. Appl. 5, 89-101 (1971); translation from Funkts. Anal. Prilozh. 5, No. 2, 1-16 (1971).

MSC:

47F05 General theory of partial differential operators
47E05 General theory of ordinary differential operators
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References:

[1] I. M. Gel’fand and G. E. Shilov, Generalized Functions and Operations on Them, Fizmatgiz, Moscow (1959). · Zbl 0091.11102
[2] O. Zariski and P. Samuel, Commutative Algebra [Russian translation], Vol. 2, IL, Moscow (1963). · Zbl 0121.27901
[3] M. F. Atiyah, ”Resolution of singularities and division of distributions,” Comm. Pure Appl. Math., No. 2, 145-150 (1970). · Zbl 0188.19405 · doi:10.1002/cpa.3160230202
[4] I. N. Bernshtein and S. I. Gel’fand, ”The meromorphic behavior of the function P?,” Funkts. Analiz i Ego Prilozhen.,3, No. 1, 84-85 (1969).
[5] L. Hörmander, ”On the singularities of solutions of partial differential equations,” Comm. Pure Appl. Math.,23, No. 3, 329-358 (1970). · Zbl 0193.06603 · doi:10.1002/cpa.3160230307
[6] I. R. Shafarevich, ”Foundations of algebraic geometry,” Usp. Mat. Nauk,24, No. 6, 3-184 (1969). · Zbl 0204.21301
[7] L. Hörmander, Linear Partial Differential Operators [Russian translation], Mir, Moscow (1965).
[8] P. A. Griffiths, ”Report on the variation of the Hodge structure,” Usp. Mat. Nauk,25, No. 3, 175-234 (1970). · Zbl 0219.14009
[9] The International Congress in Amsterdam, Fizmatgiz, Moscow (1961). · Zbl 0096.24101
[10] I. M. Gel’fand and A. A. Kirillov, Dokl. Akad. Nauk SSSR, 167, No. 3, 503-505 (1966).
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