Resolution of singularity and oscillatory integral. I (Q1200102)
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scientific article; zbMATH DE number 96741
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Resolution of singularity and oscillatory integral. I |
scientific article; zbMATH DE number 96741 |
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Resolution of singularity and oscillatory integral. I (English)
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17 January 1993
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Given an analytic function \(f\) with only isolated critical points in \(B^ 2\), and a smooth compactly supported function \(g\) in \(B^ 2\), the authors study the asymptotic behavior of integrals such as \(\int_{B^ 2}\exp(\text{it }f(x))g(x)dx\). Such a behavior is obtained using the phase stationary method.
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oscillatory integrals
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singular index
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resolution of singularity
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asymptotic behavior
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phase stationary method
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