Interpolation problems in cones. Nota I

Carlos A. Berenstein; Daniele Struppa

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1983)

  • Volume: 74, Issue: 5, page 267-273
  • ISSN: 1120-6330

How to cite

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Berenstein, Carlos A., and Struppa, Daniele. "Interpolation problems in cones. Nota I." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 74.5 (1983): 267-273. <http://eudml.org/doc/287300>.

@article{Berenstein1983,
author = {Berenstein, Carlos A., Struppa, Daniele},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {convolution equations; Fourier transform; growth conditions; interpolation theorems; existence theorems},
language = {eng},
month = {5},
number = {5},
pages = {267-273},
publisher = {Accademia Nazionale dei Lincei},
title = {Interpolation problems in cones. Nota I},
url = {http://eudml.org/doc/287300},
volume = {74},
year = {1983},
}

TY - JOUR
AU - Berenstein, Carlos A.
AU - Struppa, Daniele
TI - Interpolation problems in cones. Nota I
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1983/5//
PB - Accademia Nazionale dei Lincei
VL - 74
IS - 5
SP - 267
EP - 273
LA - eng
KW - convolution equations; Fourier transform; growth conditions; interpolation theorems; existence theorems
UR - http://eudml.org/doc/287300
ER -

References

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  1. Berenstein, C.A. and Dostal, M. (1972) - Analytically uniform spaces and their applications to convolution equations. «Lecture Notes in Math.», 246. Springer-Verlag, New York. Zbl0237.47025MR493316
  2. Berenstein, C.A. and Taylor, B.A. (1980) - Interpolation problems in 𝐂 n with applications to harmonic analysis. «J. Anal. Math.», 38, 188-254. Zbl0464.42003MR600786
  3. Berenstein, C.A. and Taylor, B.A. (1979) - A new look at interpolation theory for entire functions of one variable. «Advances in Math.», 33, 109-143. Zbl0432.30028MR544846DOI10.1016/S0001-8708(79)80002-X
  4. de Roever, J.W. (1978) — Complex Fourier transformation and analytic functionals with unbounded carriers. «Mathematical Centre Tracts»89, Amsterdam. Zbl0406.46032MR494067
  5. Ehrenpreis, L. (1970) - Fourier analysis in several complex variables. Wiley—Interscience, New York. Zbl0195.10401MR285849
  6. Hörmander, L. (1973) - Complex analysis in several variables. North Holland, New York. Zbl0271.32001
  7. Kelleher, J. and Taylor, B.A. (1971) - Finitely generated ideals in rings of analytic functions. «Math. Ann.», 193, 225-237. Zbl0207.12906MR302934
  8. Martineau, A. (1963) - Sur les fonctionnelles analytiques et la transformation de Fourier-Borel, «J. Anal. Math.», 9, 1-64. Zbl0124.31804MR159220
  9. Meril, A. (1981) - Fonctionnelles analytiques à porteur non borné et applications. Université de Bordeaux I. Zbl0535.46021
  10. Palamodov, V. (1970) - Linear differential operators with constant coefficients. Springer Verlag, New York. Zbl0191.43401MR264197
  11. Struppa, D. (1981) - The fundamental principle for systems of convolutions equations. Ph. D. thesis, Univ. Maryland. MR2631640

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