1,343 reputation
414
bio website mathtm.blogspot.com
location University of California Los Angeles, CA
age
visits member for 2 years, 3 months
seen 2 days ago

I am a recent graduate in applied mathematics at UCLA and currently trying to break into the quantitative investment/trading industry while also continuing to pursue advanced graduate-level mathematics as both a hobby and career necessity.


Dec
5
revised Show $\left|\int_\alpha^\beta F(t) dt\right| \le \int_\alpha^\beta |F(t)| dt$
edited body
Dec
5
answered Existence of measure under inverse transformation
Dec
5
answered Show $\left|\int_\alpha^\beta F(t) dt\right| \le \int_\alpha^\beta |F(t)| dt$
Dec
5
revised Some Scaling Estimate for Heat Kernel
added 408 characters in body; edited tags
Dec
5
asked Fourier Transform of Dirac Comb on $\mathbb{Z}$ and $\mathbb{Z}^{d}$.
Dec
5
asked Some Scaling Estimate for Heat Kernel
Dec
4
revised Constructing a Distributional Solution to the Inhomogeneous C.R. Equations
added 50 characters in body
Dec
4
revised Constructing a Distributional Solution to the Inhomogeneous C.R. Equations
added 85 characters in body
Dec
4
revised Constructing a Distributional Solution to the Inhomogeneous C.R. Equations
added 621 characters in body
Dec
4
revised Constructing a Distributional Solution to the Inhomogeneous C.R. Equations
edited tags
Dec
4
revised Constructing a Distributional Solution to the Inhomogeneous C.R. Equations
edited tags
Dec
4
revised Constructing a Distributional Solution to the Inhomogeneous C.R. Equations
edited tags
Dec
4
comment Constructing a Distributional Solution to the Inhomogeneous C.R. Equations
@Post - See the update to my question. I'd like to avoid any reference to complex analysis if it's possible.
Dec
4
revised Constructing a Distributional Solution to the Inhomogeneous C.R. Equations
added 1048 characters in body
Dec
3
asked Constructing a Distributional Solution to the Inhomogeneous C.R. Equations
Nov
20
comment Analytic functions of absolute value 1 on the boundary of the unit disc
(Or the strong form of the maximum modulus principle.)
Nov
18
accepted Mean-value like theorem for holomorphic functions.
Nov
18
comment Mean-value like theorem for holomorphic functions.
It implies the existence of some neighborhood $V$ of $z$ such that $g$ fails to be one to one and this implies the existence of distinct $s,t$ such that $g(s)=g(t)$, which is the desired conclusion. I'm thoroughly amused by the fact that all three questions I posted had solutions which depended on some suitably chosen auxiliary function and an application of some major theorem.
Nov
18
comment For $f\in H(U)$, find a bound on $|f(0)|$ given separate bounds of $|f|$ on $\partial U^{+}$ and $\partial U_{-}$.
How does $|g|$ being a constant imply $g$ is? What about $re^{it}$?
Nov
18
comment For $f\in H(U)$, find a bound on $|f(0)|$ given separate bounds of $|f|$ on $\partial U^{+}$ and $\partial U_{-}$.
Hmm...in regards to the second part of your comment, I see now that even if $|g|\geq\frac{1}{4}$ too, it would not imply $g$ was constant; however, it does imply $|g|$ is, no?