Hyperfunction cohomology classes and their boundary values

 Access to full text

 Full (PDF)

1. [1] A. Andreotti - C.D. Hill, E. E. Levi convexity and the Hans Lewy problem, part I: Reduction to vanishing theorems, Ann. Scuola Norm. Sup. Pisa Cl. Sci., (3) 26 (1972), pp. 325-363. Zbl0256.32007MR460725
2. [2] A. Andreotti - C.D. Hill - S. Łojasiewicz - B. Mackichan, Mayer-Vietoris sequences for complexes of differential operators, Bull. Amer. Math. Soc., 82 (1976), pp. 487-490. Zbl0325.58018
3. [3] A. Andreotti - C.D. Hill - S. Łojasiewicz - B. Mackichan, Complexes of differential operators. The Mayer-Vietoris sequence, Inventiones Math., 35 (1976), pp. 43-86. Zbl0332.58016
4. [4] R. Godement, Topologie algébrique et théorie des faisceaux, Hermann, Paris, 1958. Zbl0080.16201MR102797
5. [5] H. Grauert, On Levi's problem and the imbedding of real analytic manifolds, Ann. of Math., 68 (1958), pp. 460-472. Zbl0108.07804MR98847
6. [6] V. Guillemin, Some algebraic results concerning the characteristics of overdetermined partial differential equations, Amer. J. Math., 90 (1968), pp. 270-284. Zbl0162.40601MR223724
7. [7] M. Kashiwara, Algebraic study of systems of partial differential equations, Master's thesis, Univ. of Tokyo, 1971 (in Japanese). Zbl0877.35003
8. [8] H. Komatsu - T. Kawai, Boundary values of hyperfunction solutions of linear partial differential equations, Publ. RIMS, Kyoto Univ., 7 (1971), pp. 95-104. Zbl0225.35032MR306695
9. [9] J. Leray, L'anneau spectral et l'anneau filtré d'homologie d'un espace localement compact et d'une application continue, Journ. Math. Pures et Appl., 29 (1950), pp. 1-139. Zbl0038.36301MR37505
10. [10] B. Mackichan, A generalization to overdetermined systems of the notion of diagonal operators, II : Hyperbolic operators, Acta Math., 134 (1975), pp. 239-274. Zbl0313.35059MR481614
11. [11] B. Mackichan, The Cauchy problem for overdetermined systems of partial differential equations, in Proc. of the Rencontre sur l'Analyse Complexe à Plusieurs Variables et les Systèmes Surdéterminés, 1974, Les Presses de l'Université de Montréal, Montréal (1975). Zbl0412.35020MR448450
12. [12] A. Martineau, Distributions et valeurs au bord des fonctions holomorphes, in Proc. Intern. Summer Course on the Theory of Distributions, Lisbon (1964), pp. 195-326. MR219754
13. [13] J. Polking - R. Wells, Boundary values of Dolbeault cohomology classes and a generalized Bochner-Hartogs theorem, to appear. Zbl0379.32019MR504111
14. [14] M. Sato, On a generalization of the concept of functions, Proc. Japan Acad., 34 (1958), pp. 126-130 and 604-608. Zbl0087.31401MR96122
15. [15] M. Sato, Theory of hyperfunctions, J. Fac. Sci., Univ. Tokyo, Sect. I, 8 (1959-60), pp. 139-193 and 387-436. Zbl0087.31402MR114124
16. [16] M. Sato - T. Kawai - M. Kashiwara, Microfunctions and pseudodifferential equations, in Hyperfunctions and pseudodifferential equations, Lecture Notes in Math., 287 (1973), pp. 265-529. Zbl0277.46039MR420735
17. [17] P. Schapira, Théorie des hyperfonctions, Lecture Notes in Math., 126 (1970). Zbl0192.47305MR270151
18. [18] O. Stormark, A note on a paper by Andreotti-Hill concerning the Hans Lewy problem, Ann. Scuola Norm. Sup. Pisa Cl. Sci., (4) 2 (1975), pp. 557-569. Zbl0313.32019MR477151

1. C. Denson Hill, Geraldine Taiani, Families of analytic discs in ${𝐂}^n$ with boundaries on a prescribed $CR$ submanifold