A remark on Nilsson type integrals

Nguyen Minh; Bogdan Ziemian

Banach Center Publications (1996)

  • Volume: 33, Issue: 1, page 277-285
  • ISSN: 0137-6934

Abstract

top
We investigate ramification properties with respect to parameters of integrals (distributions) of a class of singular functions over an unbounded cycle which may intersect the singularities of the integrand. We generalize the classical result of Nilsson dealing with the case where the cycle is bounded and contained in the set of holomorphy of the integrand. Such problems arise naturally in the study of exponential representation at infinity of solutions to certain PDE's (see [Z]).

How to cite

top

Minh, Nguyen, and Ziemian, Bogdan. "A remark on Nilsson type integrals." Banach Center Publications 33.1 (1996): 277-285. <http://eudml.org/doc/262702>.

@article{Minh1996,
abstract = {We investigate ramification properties with respect to parameters of integrals (distributions) of a class of singular functions over an unbounded cycle which may intersect the singularities of the integrand. We generalize the classical result of Nilsson dealing with the case where the cycle is bounded and contained in the set of holomorphy of the integrand. Such problems arise naturally in the study of exponential representation at infinity of solutions to certain PDE's (see [Z]).},
author = {Minh, Nguyen, Ziemian, Bogdan},
journal = {Banach Center Publications},
keywords = {discriminant of a polynomial; multivalued analytic function; Nilsson integral; singularities},
language = {eng},
number = {1},
pages = {277-285},
title = {A remark on Nilsson type integrals},
url = {http://eudml.org/doc/262702},
volume = {33},
year = {1996},
}

TY - JOUR
AU - Minh, Nguyen
AU - Ziemian, Bogdan
TI - A remark on Nilsson type integrals
JO - Banach Center Publications
PY - 1996
VL - 33
IS - 1
SP - 277
EP - 285
AB - We investigate ramification properties with respect to parameters of integrals (distributions) of a class of singular functions over an unbounded cycle which may intersect the singularities of the integrand. We generalize the classical result of Nilsson dealing with the case where the cycle is bounded and contained in the set of holomorphy of the integrand. Such problems arise naturally in the study of exponential representation at infinity of solutions to certain PDE's (see [Z]).
LA - eng
KW - discriminant of a polynomial; multivalued analytic function; Nilsson integral; singularities
UR - http://eudml.org/doc/262702
ER -

References

top
  1. [A] E. Andronikof, Intégrales de Nilsson at faisceaux constructibles, Bull. Soc. Math. France 120 (1992), 51-85. Zbl0761.32006
  2. [Ko] T. Kobayashi, On the singularities of solutions to the Cauchy problem with singular data in the complex domain, Math. Ann. 269 (1984), 217-234. Zbl0571.35013
  3. [L] J. Leray, Le calcul différentiel et intégral sur une variété analytique complexe, ibid. 87 (1959), 81-180. Zbl0199.41203
  4. [N] N. Nilsson, Some growth and ramification properties of certain multiple integrals, Ark. Mat. 5 (1965), 463-476. Zbl0168.42004
  5. [P] F. Pham, Singularités des systèmes différentiels de Gauss-Manin, Birkhäuser, 1981. 
  6. [Z] B. Ziemian, Leray residue formula and asymptotics of solutions to constant coefficient PDEs, Topol. Methods Nonlinear Anal. 3 (1994), 257-293. Zbl0813.47060

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.