Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/springer-journals/about-a-non-standard-interpolation-problem-F4smsVXwMd
References (25)
-
C. Boor (2005)
Ideal interpolation -
H. Samuelsson (2007)
Analytic continuation of residue currentsArkiv för Matematik, 47
-
Z. Jelonek (2005)
On the effective NullstellensatzInventiones mathematicae, 162
-
A. Tsikh, A. Yger (2004)
Residue CurrentsJournal of Mathematical Sciences, 120
-
Anna Stasica (2003)
On the Noether exponentAnnales Polonici Mathematici, 81
-
C. Berenstein, A. Yger (1999)
Residue calculus and effective NullstellensatzAmerican Journal of Mathematics, 121
-
J. Kollár (1988)
Sharp effective NullstellensatzJournal of the American Mathematical Society, 1
-
M. Elkadi, Bernard Mourrain (2007)
Introduction à la résolution des systèmes polynomiaux, 59
-
J. Boyer, M. Hickel (1999)
Extension dans un cadre algébrique d'une formule de Weilmanuscripta mathematica, 98
-
M Elkadi, B Mourrain (2007)
Introduction à la résolution des systèmes polynomiaux, volume 59 of Mathématiques & Applications (Berlin) -
A. Weil (1935)
L'intégrale de Cauchy et les fonctions de plusieurs variablesMathematische Annalen, 111
-
(1992)
Multidimensional Residues and Their Applications, volume 103 of Translations of Mathematical Monographs -
A. Yuzhakov, L. Aĭzenberg, I. Aizenberg (1983)
Integral Representations and Residues in Multidimensional Complex Analysis -
(1990)
On the representation of certain holomorphic functions defined on a polydisk, volume 48 of Operator Theory: advances and applications, pp -
J. Ball, I. Gohberg, L. Rodman (1990)
Interpolation of Rational Matrix Functions -
D. Alpay, H. Kaptanoğlu (2002)
Some finite-dimensional backward-shift-invariant subspaces in the ball and a related interpolation problemIntegral Equations and Operator Theory, 42
-
J. Cardinal, B. Mourrain (1996)
Algebraic Approach of Residues and Applications -
(1963)
The Cauchy-Weil theorem -
D. Alpay, P. Jorgensen, I. Lewkowicz, D. Volok (2014)
A new realization of rational functions, with applications to linear combination interpolation, the Cuntz relations and kernel decompositionsComplex Variables and Elliptic Equations, 61
-
C. Berenstein, A. Vidras, A. Yger (1993)
Residue Currents and Bezout Identities -
JA Ball, I Gohberg, L Rodman (1990)
Interpolation of rational matrix functions, volume 45 of operator theory: advances and applications -
CA Berenstein, R Gay, A Vidras, A Yger (1993)
Residue currents and Bezout identities, volume 114 of progress in mathematics -
J. Ball, V. Bolotnikov (2004)
Realization and interpolation for Schur–Agler-class functions on domains with matrix polynomial defining function in CnJournal of Functional Analysis, 213
-
J. Ball, Dmitry Kaliuzhnyi-Verbovetskyi (2013)
Schur--Agler and Herglotz--Agler classes of functions: positive-kernel decompositions and transfer-function realizationsarXiv: Functional Analysis
-
P. Griffiths, J. Harris (1978)
Principles of Algebraic Geometry
- Publisher
- Springer Journals
- Copyright
- Copyright © 2018 by Springer-Verlag GmbH Germany, part of Springer Nature
- Subject
- Mathematics; Analysis; Computational Mathematics and Numerical Analysis; Functions of a Complex Variable
- ISSN
- 1617-9447
- eISSN
- 2195-3724
- DOI
- 10.1007/s40315-018-0255-1
- Publisher site
- See Article on Publisher Site
Abstract
Using algebraic methods, and motivated by the one variable case, we study a multipoint interpolation problem in the setting of several complex variables. The duality realized by the residue generator associated with an underlying Gorenstein algebra, using the Lagrange interpolation polynomial, plays a key role in the arguments.
Journal
Computational Methods and Function Theory – Springer Journals
Published: Oct 13, 2018