RUS  ENG
Full version
JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1985 Volume 127(169), Number 2(6), Pages 209–238 (Mi sm1966)

This article is cited in 2 papers

Asymptotic expansions of integrals in complex and real regions

V. P. Palamodov


Abstract: Asymptotic expansions are studied for integrals of holomorphic forms over cycles in the Milnor fibration close to a critical level surface of a holomorphic function. Some regular features are found for the set of exponents in such expansions, and computational results are given. Asymptotic expansions are also considered for real integrals connected with analytic functions. A connection is established between expansions of integrals in a complex region and a real region.
Bibliography: 30 titles.

UDC: 517.373

MSC: Primary 30E15, 32C30, 41A60, 57R70; Secondary 32B10, 58A10

Received: 06.12.1983


 English version:
Mathematics of the USSR-Sbornik, 1986, 55:1, 207–236

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2026