The use of D-modules to study exponential polynomials

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1. [1] M. F. Atiyah, Resolution of singularities and division of distributions, Comm. Pure Appl. Math. 23 (1970), 145-150. Zbl0188.19405
2. [2] C. A. Berenstein, R. Gay and A. Yger, Analytic continuation of currents and division problems, Forum Math. 1 (1989), 15-51. Zbl0651.32005
3. [3] C. A. Berenstein, R. Gay, A. Vidras and A. Yger, Residues and Bézout Identities, Progr. Math. 113, Birkhäuser, 1993. Zbl0802.32001
4. [4] C. A. Berenstein and B. A. Taylor, Interpolation problems in ${ℂ}^n$ with applications to harmonic analysis, J. Analyse Math. 37 (1980), 188-254. Zbl0464.42003
5. [5] C.A. Berenstein and B.A. Taylor, On the geometry of interpolating varieties, in: Séminaire Lelong-Skoda 1980-81, Springer, Heidelberg, 1-25. 
6. [6] C. A. Berenstein, B. A. Taylor et A. Yger, Sur les systèmes d'équations différence-différentielles, Ann. Inst. Fourier (Grenoble) 33 (1983), 109-130. 
7. [7] C. A. Berenstein and A. Yger, Ideals generated by exponential polynomials, Adv. in Math. 60 (1986), 1-80. 
8. [8] C. A. Berenstein and A. Yger, On Łojasiewicz type inequalities for exponential polynomials, J. Math. Anal. Appl. 129 (1988), 166-195. 
9. [9] C. A. Berenstein and A. Yger, Analytic Bézout identities, Adv. in Appl. Math. 10 (1989), 51-74. 
10. [10] C. A. Berenstein and A. Yger, Effective Bézout estimates in $\mathbb{Q}[z_1,...,z_n]$, Acta Math. 66 (1991), 69-120. 
11. [11] C. A. Berenstein and A. Yger, Une formule de Jacobi et ses conséquences, Ann. Sci. École Norm. Sup. 24 (1991), 363-377. Zbl0742.32004
12. [12] C. A. Berenstein and A. Yger, About Ehrenpreis' Fundamental Principle, in: Geometric and Algebraic Aspects in Several Complex Variables, C. A. Berenstein and D. C. Struppa (eds.), Editel, Rende, 1991, 47-61. 
13. [13] C. A. Berenstein and A. Yger, Formules de représentation intégrale et problèmes de division, in: Diophantine Approximations and Transcendental Numbers, P. Philippon (ed.), Walter de Gruyter, Berlin, 1992, 15-37. Zbl0765.32002
14. [14] C. A. Berenstein and A. Yger, D-modules and exponential polynomials, Compositio Math. (1995), to appear. 
15. [15] B. Berndtsson and M. Andersson, Henkin-Ramirez formulas with weight factors, Ann. Inst. Fourier (Grenoble) 32 (1982), 91-110. Zbl0466.32001
16. [16] I. N. Bernstein, The analytic continuation of generalized functions with respect to a parameter, Functional Anal. Appl. 6 (1972), 273-285. Zbl0282.46038
17. [17] J.-E. Björk, Rings of Differential Operators, North-Holland, Amsterdam, 1979. 
18. [18] A. Borel, Operations on algebraic D-modules, in: Algebraic D-modules, A. Borel (ed.), Academic Press, Boston, 1987, 207-269. 
19. [19] L. Ehrenpreis, Fourier Analysis in Several Complex Variables, Wiley, 1970. Zbl0195.10401
20. [20] D. I. Gurevich, Counterexamples to a problem of L. Schwartz, Functional Anal. Appl. 9 (1975), 116-120. Zbl0326.46020
21. [21] L. Hörmander, The Analysis of Linear Partial Differential Operators, II, Springer, Berlin, 1983. Zbl0521.35002
22. [22] M. Lejeune et B. Teissier, Quelques calculs utiles pour la résolution des singularités, Séminaire École Polytechnique, 1972, 130. 
23. [23] B. Lichtin, Generalized Dirichlet series and B-functions, Compositio Math. 65 (1988), 81-120. 
24. [24] L. Schwartz, Théorie générale des fonctions moyenne-périodiques, Ann. of Math. 48 (1947), 857-929. Zbl0030.15004
25. [25] C. Sabbah, Proximité évanescente II. Equations fonctionnelles pour plusieurs fonctions analytiques, Compositio Math. 64 (1987), 213-241. Zbl0632.32006