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Results tagged with cv.complex-variables
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user 152473
Complex analysis, holomorphic functions, automorphic group actions and forms, pseudoconvexity, complex geometry, analytic spaces, analytic sheaves.
12
votes
Accepted
If $f(x) = \sum_{n=0}^\infty a_n x^n$, then $\int_{-\infty}^\infty f(x^2) dx = \pi i a_{-\fr...
Let $\phi(z)$ be analytic function defined on the half-plane
$$H(\delta)=\{z\in \mathbb{C}: \operatorname{Re}z\ge -\delta\}$$
for $0<\delta<1$. Suppose that, for some $A<\pi$, $\phi$ satisfies the gro …
- 840
2
votes
Accepted
Nonstationary phase method for oscillatory integral
For stationary phase, you usually consider the integral
$$I(\lambda)=\int_a^b f(t) e^{i\lambda g(t)}\,dt$$
with $\lambda>0$ a large parameter. If there are no stationary points inside $[a,b]$, then yo …
- 840