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Fourier series: can a function be odd and have a dc component?

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#fourier-analysis #fourier-series #signal-processing #harmonic-functions #periodic-functions
526
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Mean Value Property - Nonnegative Harmonic function

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#ordinary-differential-equations #partial-differential-equations #harmonic-functions #poissons-equation
116
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Optimizing value of discrete harmonic function at a given point

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#linear-programming #harmonic-functions
927
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About a harmonic function in the upper half plane

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#complex-analysis #harmonic-functions
374
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Prove that a family of harmonic functions is a normal family

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#complex-analysis #harmonic-functions
149
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Can the rank of harmonic maps decrease far from the boundary?

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#partial-differential-equations #differential-topology #harmonic-functions #singularity #linear-pde
3.1k
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How to find the Green's function

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#partial-differential-equations #harmonic-functions #greens-function
154
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What is a boundary condition for a PDE in a rectangular domain?

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#partial-differential-equations #harmonic-functions #elliptic-equations
128
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A question related to Laplace equation on pde.

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#ordinary-differential-equations #partial-differential-equations #harmonic-functions
870
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Geometry of level sets of an harmonic function

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#partial-differential-equations #harmonic-functions #potential-theory
1.1k
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$f$ is holomorphic in Ω such that $|f|^2$ is harmonic; we need to show that $f$ is constant.

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#complex-analysis #harmonic-functions #holomorphic-functions
176
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Show $u$ satisfy poisson equation

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#analysis #harmonic-functions
148
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Non-constant harmonic function satisfying given property

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#complex-analysis #harmonic-functions
370
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Why is $\sqrt r \cos \frac \theta 2$ harmonic?

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#complex-analysis #polar-coordinates #harmonic-functions
238
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Is it possible to analytically solve Laplace's equation between two rectangles?

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#partial-differential-equations #harmonic-functions #conformal-geometry

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