An estimate of the roots of b-functions by Newton polyhedra

DOI10.3792/pjaa.57.496zbMath0535.35002OpenAlexW2077436598MaRDI QIDQ791019

Mitsuo Kato

Publication date: 1981

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.57.496

zbMATH Keywords

isolated singularitygerms of holomorphic functionsNewton polyhedrab-functions

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Analyticity in context of PDEs (35A20) Holomorphic functions of several complex variables (32A10)

Related Items

Algorithme de calcul du polynome de Bernstein. Cas non dégéneré. (Algorithm of computation of Bernstein polynomials. The non-degenerate case)

Cites Work

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• Newton polyhedra and estimation of oscillating integrals
• On the theory of b-functions
• The analytic continuation of generalized functions with respect to a parameter