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C.A. Berenstein, T. Kawai and D.C. Struppa, Interpolating varieties and the Fabry-Ehrenpreis-Kawai gap theorem, forthcoming.
C.A. Berenstein and D.C. Struppa, On the Ehrenpreis-Kawai gap Theorem, Publ R.I.M.S. Kyoto University 23 (1987), 565–574.
C.A. Berenstein and D.C. Struppa, Convolution equations and Dirichlet series, Publ. R.I.M.S. Kyoto University 24 (1988), 783–810
C.A. Berenstein and B.A. Taylor, Interpolations problems in Cn with applications to harmonic analysis, J. Analyse Math. 38 (1980),188–254.
R.P. Boas, Entire Functions, Academic Press, 1959.
L. Ehrenpreis, Fourier Analysis in Several Complex Variables, Wiley-Interscience, New York, 1970.
L. Hörmander, An Introduction to Complex Analysis in Several Variables, Van Nostrand, Princeton, 1966.
A. Kaneko, On continuation of regular solutions of partial differential equations to compact convex sets II, J. Fac. Sci. Univ. Tokyo 18 (1971),415–433.
M. Kashiwara and T. Kawai, A differential relation between ϑ(t+a) and ϑ(t), RIMS Technical Report No 485, RIMS, Kyoto University. (1984)
M. Kashiwara, T. Kawai and Y. Takei, The structure of cohomology groups associated with the theta-zerovalues, in Proc. of “Algebraical and Geometrical Aspects in Several Complex Variables”, Cetraro 1989, C.A. Berenstein and D.C. Struppa eds.
T. Kawai, The Fabry-Ehrenpreis gap Theorem for hyperfunctions, Proc Japan Acad. 60 A (1984), 276–278.
T. Kawai, The Fabry-Ehrenpreis gap theorem and linear differential equations of infinite order, Amer. J. Math. 109 (1987), 57–64.
T. Kawai, An example of a complex of linear differential operators of infinite order, Proc. Japan Acad. 59A (1983),113–115.
T. Kawai, Some remarks on microlocal analysis of ϑ-functions, Suken-kokyuroku, no. 410, RIMS, Kyoto University, 76–87,(1980), (in Japanese).
T. Kawai and D.C. Struppa, On the existence of holomorphic solutions of systems of linear differential equations of infinite order and with constant coefficients, Int. J. Math. 1 (1990), 83–82.
T. Kawai and Y. Takei, “Fundamental Principle” and ϑ-zerovalue, Sukenkokyuroku, no. 675, RIMS, Kyoto University, 79–86 (1988), (in Japanese).
N. Levinson, Gap and Density Theorems, A.M.S.,1940
M. Sato, Pseudo-differential equations and theta function, Astérisque 2–3 (1973), 286–291.
M. Sato, M. Kashiwara and T. Kawai, Linear differential equations of infinite order and theta functions, Advances in Math. 47 (1983),300–325.
M. Sato, M. Kashiwara and T. Kawai, Microlocal analysis of theta functions, Adv. Studies in Pure Math. 4 (1984) 267–289.
M. Sato, T. Kawai and M. Kashiwara, Microfunctions and pseudo-differential equations, Lecture Notes in Math. 286, Springer, Berlin-Heidelberg-New York, 1973, 265–529.
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Dedicated to the memory of the late Professor Kôsaku Yosida
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Berenstein, C.A., Kawai, T., Struppa, D.C. (1993). Interpolation theorems in several complex variables and applications. In: Komatsu, H. (eds) Functional Analysis and Related Topics, 1991. Lecture Notes in Mathematics, vol 1540. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085470
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DOI: https://doi.org/10.1007/BFb0085470
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