Weil's formulae and multiplicity

• Autorzy: Maria Frontczak , Andrzej Miodek
• Języki publikacji: EN

Abstrakty

EN

The integral representation for the multiplicity of an isolated zero of a holomorphic mapping $f : (ℂ^n,0) → (ℂ^n,0)$ by means of Weil's formulae is obtained.

Kategorie tematyczne

• 32A25: Integral representations; canonical kernels (Szeg\H o, Bergman, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1991
• Tom: 55
• Numer: 1
• Strony: 103-108

Daty

wydano

1991

otrzymano

1990-09-12

Twórcy

autor

Maria Frontczak

autor

Andrzej Miodek

• Institute of Mathematics, Łódź University, Banacha 22, 90-238 Łódź, Poland

Bibliografia

• [1] E. M. Chirka, Complex Analytic Sets, Nauka, Moscow 1985 (in Russian).
• [2] R. Engelking, General Topology, PWN, Warszawa 1977.
• [3] H. Federer, Geometric Measure Theory, Springer, New York 1969.
• [4] M. Frontczak, Integral representations of Cauchy type for holomorphic functions on Weil's domains, Bull. Soc. Sci. Łódź, to appear.
• [5] M. Frontczak, A new simple proof of Weil's integral formula for canonical domains, Bull. Soc. Sci. Łódź, to appear.
• [6] P. Griffiths and J. Harris, Principles of Algebraic Geometry, Wiley-Interscience, New York 1978.
• [7] M. Hervé, Several Complex Variables, Local Theory, Oxford Univ. Press, Bombay 1963.
• [8] S. Łojasiewicz, Ensembles semi-analytiques, I.H.E.S., Bures-sur-Yvette 1965.
• [9] S. Łojasiewicz, Introduction to Complex Analytic Geometry, PWN, Warszawa 1988 (in Polish).
• [10] B. V. Shabat, Introduction to Complex Analysis, Part II, Nauka, Moscow 1985 (in Russian).
• [11] H. Whitney, Complex Analytic Varieties, Addison-Wesley, Reading, Mass., 1972.