کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4623537 1631575 2006 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Asymptotic approximation of degenerate fiber integrals
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Asymptotic approximation of degenerate fiber integrals
چکیده انگلیسی

We study asymptotics of fiber integrals depending on a large parameter. When the critical fiber is singular, full-asymptotic expansions are established in two different cases: local extremum and isolated real principal type singularities. The main coefficients are computed and invariantly expressed. In the most singular cases, it is shown that the leading term of the expansion is related to invariant measures on the spherical blow-up of the singularity. The results can be applied to certain degenerate oscillatory integrals which occur in spectral analysis and quantum mechanics.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 320, Issue 2, 15 August 2006, Pages 528-542