Minimal degree solutions of polynomial equations

Graziano Gentili; Daniele C. Struppa

Kybernetika (1987)

  • Volume: 23, Issue: 1, page 44-53
  • ISSN: 0023-5954

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Gentili, Graziano, and Struppa, Daniele C.. "Minimal degree solutions of polynomial equations." Kybernetika 23.1 (1987): 44-53. <http://eudml.org/doc/27929>.

@article{Gentili1987,
author = {Gentili, Graziano, Struppa, Daniele C.},
journal = {Kybernetika},
keywords = {control theory; Bezout equation},
language = {eng},
number = {1},
pages = {44-53},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Minimal degree solutions of polynomial equations},
url = {http://eudml.org/doc/27929},
volume = {23},
year = {1987},
}

TY - JOUR
AU - Gentili, Graziano
AU - Struppa, Daniele C.
TI - Minimal degree solutions of polynomial equations
JO - Kybernetika
PY - 1987
PB - Institute of Information Theory and Automation AS CR
VL - 23
IS - 1
SP - 44
EP - 53
LA - eng
KW - control theory; Bezout equation
UR - http://eudml.org/doc/27929
ER -

References

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  1. C. Berenstein, M. Dostal, Analytically uniform spaces and their applications to convolution equations, (Lecture Notes in Mathematics 256.) Springer-Verlag, New York 1972. (1972) Zbl0237.47025MR0493316
  2. C. Berenstein, D. Struppa, On explicit solutions to the Bezout equation, Systems and Control Letters 4 (1984), 33-39. (1984) Zbl0538.15005MR0735250
  3. C. Berenstein, D. Struppa, 1-inverses for polynomial matrices of non-constant rank, Systems and Control Letters (to appear). Zbl0582.15005
  4. C. Berenstein, B. Taylor, Interpolation problems in C n with applications to harmonic analysis, J. Analyse Math. 38 (1980), 188-254. (1980) MR0600786
  5. C. Berenstein B. Taylor, A. Yger, On some explicit deconvolution formulas, Signal Recovery Meeting of the Optical Society of America, Techn. Dig., pp. WA 4-1, 1983. (1983) 
  6. C. Berenstein, A. Yger, Le probleme de la deconvolution, J. Funct. Analysis 54 (1983), 113-160. (1983) Zbl0526.46042MR0724701
  7. N. K. Bose, Applied Multidimensional Systems Theory, Van Nostrand, New York 1982. (1982) Zbl0574.93031MR0652483
  8. P. Griffiths, J. Harris, Principles of Algebraic Geometry, Wiley-Interscience, New York 1978. (1978) Zbl0408.14001MR0507725
  9. L. Hörmander, Generators of some rings of analytic functions, Bull. Amer. Math. Soc. 73 (1973), 943-948. (1973) MR0226387
  10. T. Kailath, Linear Systems, Prentice Hall, Englewood Cliffs 1980. (1980) Zbl0454.93001MR0569473
  11. M. Sebek, 2-D polynomial equations, Kybernetika 19 (1983), 212-224. (1983) Zbl0515.93036MR0716650
  12. H. Matsumura, Commutative Algebra, Benjamin, New York 1970. (1970) Zbl0211.06501MR0266911

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