Mean square convergence of Fourier series • Physics Forums

Thread 'Apparent counter-example to Cauchy-Goursat theorem (Complex Analysis)'

I posted this question on math-stackexchange but apparently I asked something stupid and I was downvoted. I still don't have an answer to my question so I hope someone in here can help me or at least explain me why I am asking something stupid. I started studying Complex Analysis and came upon the following theorem which is a direct consequence of the Cauchy-Goursat theorem: Let ##f:D\to\mathbb{C}## be an anlytic function over a simply connected region ##D##. If ##a## and ##z## are part of...

View full post »

MHB Mean square convergence of Fourier series

Thread 'Apparent counter-example to Cauchy-Goursat theorem (Complex Analysis)'

Similar threads

Hot Threads

I No structure in ##(d,x)## in ##\textbf{Met*}(X)## is admissible

I How are the following three definitions subtly different?

I Convergence not defined by any metric

I Confused by proof in Hocking and Young

I Homemorphism in quotient topology

Recent Insights

Insights Thinking Outside The Box Versus Knowing What’s In The Box

Insights Why Entangled Photon-Polarization Qubits Violate Bell’s Inequality

Insights Quantum Entanglement is a Kinematic Fact, not a Dynamical Effect

Insights What Exactly is Dirac’s Delta Function? - Insight

Insights Relativator (Circular Slide-Rule): Simulated with Desmos - Insight

Insights Fixing Things Which Can Go Wrong With Complex Numbers