Question

A radial harmonic function on $\mathbb{R}^N \setminus \{0\}$ is of the form $\frac{b}{|x|^{N-2}} + c$

score 1.5k · Answer 1 · 2016-05-14 20:27:14

1.5k

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A radial harmonic function on $\mathbb{R}^N \setminus \{0\}$ is of the form $\frac{b}{|x|^{N-2}} + c$

Published on 14 May 2016 - 20:27

score 1.1k · Answer 2 · 2016-05-15 00:28:11

1.1k

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Is it Possible to Construct all Proofs in Complex Analysis using Brownian Motion?

Published on 15 May 2016 - 0:28

score 206 · Answer 3 · 2016-05-16 00:43:36

206

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Is there a mistake in this proof in Rudin's RCA?

Published on 16 May 2016 - 0:43

score 903 · Answer 4 · 2016-05-17 21:17:32

903

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Harmonic forms and functions on compact manifolds

Published on 17 May 2016 - 21:17

score 138 · Answer 5 · 2016-05-19 20:54:30

Prove: For a harmonic function $u$, $|z|^{1-\epsilon}|u(x,y,z)| \leq (x^2+y^2)^{0.5-\epsilon}$ implies $u = 0$ for $0 < \epsilon < 0.5$

score 183 · Answer 6 · 2016-05-28 13:48:19

183

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Are harmonic functions ($\Delta u=0$) with compact support unique?

Published on 28 May 2016 - 13:48

score 404 · Answer 7 · 2016-05-29 18:27:15

404

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Show : A holomorphic function is harmonic if $\frac{\partial f}{\partial \overline{z}}=0$

Published on 29 May 2016 - 18:27

score 339 · Answer 8 · 2016-06-01 07:21:32

339

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Is $f(x)$ constant under these conditions?

Published on 01 Jun 2016 - 7:21

score 819 · Answer 9 · 2016-06-02 18:55:11

819

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Harmonic Function - Multivariable calculus

Published on 02 Jun 2016 - 18:55

score 752 · Answer 10 · 2016-06-12 07:57:20

752

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Does there exist a kernel concept for Taylor expansions?

Published on 12 Jun 2016 - 7:57

score 1.8k · Answer 11 · 2026-03-28 00:28:50

1.8k

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Decomposition of Harmonic function into sum of holomorphic and anti-holomorphic function

Published on 28 Mar 2026 - 0:28

score 213 · Answer 12 · 2016-06-14 05:51:14

213

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Mean Value Property to show that entire function is a constant

Published on 14 Jun 2016 - 5:51

score 1k · Answer 13 · 2026-03-28 02:03:32

1k

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Construct a harmonic function that appears to be discontinuous on the unit circle.

Published on 28 Mar 2026 - 2:03

score 225 · Answer 14 · 2016-06-14 16:51:16

225

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Can one write mean value property with respect to a different measure?

Published on 14 Jun 2016 - 16:51

score 177 · Answer 15 · 2016-06-17 12:41:37

177

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Finite dimensional irreducible representations of Sp(2).

Published on 17 Jun 2016 - 12:41

List Question

A radial harmonic function on $\mathbb{R}^N \setminus \{0\}$ is of the form $\frac{b}{|x|^{N-2}} + c$

Is it Possible to Construct all Proofs in Complex Analysis using Brownian Motion?

Is there a mistake in this proof in Rudin's RCA?

Harmonic forms and functions on compact manifolds

Prove: For a harmonic function $u$, $|z|^{1-\epsilon}|u(x,y,z)| \leq (x^2+y^2)^{0.5-\epsilon}$ implies $u = 0$ for $0 < \epsilon < 0.5$

Are harmonic functions ($\Delta u=0$) with compact support unique?

Show : A holomorphic function is harmonic if $\frac{\partial f}{\partial \overline{z}}=0$

Is $f(x)$ constant under these conditions?

Harmonic Function - Multivariable calculus

Does there exist a kernel concept for Taylor expansions?

Decomposition of Harmonic function into sum of holomorphic and anti-holomorphic function

Mean Value Property to show that entire function is a constant

Construct a harmonic function that appears to be discontinuous on the unit circle.

Can one write mean value property with respect to a different measure?

Finite dimensional irreducible representations of Sp(2).

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