@article{CM_1995__95_2_131_0, author = {Berenstein, C. A. and Yger, A.}, title = {Exponential polynomials and $\mathcal {D}$-modules}, journal = {Compositio Mathematica}, pages = {131--181}, publisher = {Kluwer Academic Publishers}, volume = {95}, number = {2}, year = {1995}, mrnumber = {1313872}, zbl = {0854.32002}, language = {en}, url = {http://archive.numdam.org/item/CM_1995__95_2_131_0/} }
TY - JOUR AU - Berenstein, C. A. AU - Yger, A. TI - Exponential polynomials and $\mathcal {D}$-modules JO - Compositio Mathematica PY - 1995 SP - 131 EP - 181 VL - 95 IS - 2 PB - Kluwer Academic Publishers UR - http://archive.numdam.org/item/CM_1995__95_2_131_0/ LA - en ID - CM_1995__95_2_131_0 ER -
Berenstein, C. A.; Yger, A. Exponential polynomials and $\mathcal {D}$-modules. Compositio Mathematica, Tome 95 (1995) no. 2, pp. 131-181. http://archive.numdam.org/item/CM_1995__95_2_131_0/
1 Resolution of singularities and division of distributions, Commun. Pure Applied Math. 23 (1970), 145-150. | MR | Zbl
,2 Transcendental Number Theory," Cambridge University Press, London,1979. | MR | Zbl
, "3 Analytic continuation of currents and division problems, Forum Math. 1 (1989), 15-51. | MR | Zbl
, , and ,4 Exact deconvolution for multiple operators-an overview plus performance characterizations for imaging sensors, IEEE Proc. MultidimensionalSignal Processing 78 (1990), 259-287.
and ,5 Complex analysis and convolution equations, in "Contemporary Problems in Mathematics. Fundamental Directions", vol. 54, VINITI, Moscow, 1990, 5-113.
and ,6 Interpolation problems in Cn with applications to harmonic analysis, J. Analyse Math. 37 (1980), 188-254. | MR | Zbl
and ,7 On the geometry of interpolating varieties, "Seminaire Lelong-Skoda 1980-81," Springer-Verlag, Heidelberg, 1-25. | MR | Zbl
and ,8 Sur les systèmes d'équations différence-différentelles, Ann. Inst. Fourier 33 (1983), 109-130. | Numdam | MR | Zbl
, and ,9 Ideals generated by exponential polynomials, Advances in Math. 60 (1986), 1-80. | MR | Zbl
and ,10 On Lojasiewicz type inequalities for exponential polynomials, J. Math. Anal. Appl. 129 (1988), 166-195. | MR | Zbl
and ,11 Analytic Bezout identities, Advances in Applied Math. 10 (1989), 51-74. | MR | Zbl
and ,12 Effective Bezout identities in Q[z 1,..., zn], Acta Math. 66 (1991), 69-120. | MR | Zbl
and ,13 Une formule de Jacobi et ses conséquences,Ann. scient. Éc. Norm. Sup. 24 (1991), 363-377. | Numdam | MR | Zbl
and ,14 About Ehrenpreis' Fundamental Principle, "Geometric and alg. aspects in several complex variables," C. A. Berenstein and D.C. Struppa (ed.), Editel, Rende, 1991, 47-61. | MR | Zbl
and ,15 Formules de représentation intégrale et problèmes de division, "Diophantine Approximations and Transcendental Numbers," P. Phillipon (ed.), Walter de Gruyter & Co., Berlin, 1992, 15-37. | MR | Zbl
and ,16 Henkin-Ramirez formulas with weight factors, Ann. Inst. Fourier, 32 (1982), 91-110. | Numdam | MR | Zbl
and ,17 The analytic continuation of generalized functions with respect to a parameter, Funct. Anal. Appl. 6 (1972), 273-285. | MR | Zbl
,18 Rings of Differential Operators," North-Holland Publ. Co., Amsterdam, 1979. | MR | Zbl
, "19 Operations on algebraic D-modules, "Algebraic D-modules", A. Borel (ed.), Academic Press, Boston, 1987, 207-269. | MR
,20 Green's functions and transfer functions handbook," Ellis Horwood, Chichester, 1982. | MR | Zbl
, "21 Fourier Analysis in Several Complex Variables ", John Wiley & Sons, 1970. | MR | Zbl
, "22 Frequency domain methods for the control of distributed parameter systems, M.S. thesis, Univ. of Maryland, 1992.
,23 Counterexamples to a problem of L. Schwartz, Funct. Anal. Appl., 9 (1975), 116-120. | MR | Zbl
,24 Table of integrals, series, and products," Academic Press, New York, 1980. | Zbl
and , "25 Theory of Functions on Complex Manifolds," Birkhäuser, Basel, 1984. | MR | Zbl
and , "26 An Introduction to Complex Analysis in Several Complex Variables", second edition, North-Holland Publ. Co., Amsterdam, 1991. | Zbl
, "27 "The Analysis of Linear Partial Differential Operators", II, Springer-Verlag, Berlin, 1983. | MR | Zbl
,28 Quelques calculs utiles pour la résolution des singularités, Séminaire École Polytechnique, 1972, 130. | Zbl
and ,29 Generalized Dirichlet series and B-functions, Compositio Math. 65 (1988), 81-120. | Numdam | MR | Zbl
,30 Nonharmonic Fourier series in the control theory of distributed parameter systems, J. Math. Analysis Appl. 18 (1967), 542-559. | MR | Zbl
,31 Proximité évanescente II. Equations fonctionnelles pour plusieurs fonctions analytiques, Compositio Math. 64 (1987), 213-241. | Numdam | MR | Zbl
,32 A trace theorem for the wave equation and remote determination of acoustic sources, preprint, Math. Dept., Michigan State Univ., June 1981. | Zbl
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