Mean-Value Property
المؤلف:
Krantz, S. G
المصدر:
"The Mean Value Property on Circles." §7.4.1 in Handbook of Complex Variables. Boston, MA: Birkhäuser
الجزء والصفحة:
p. 94
27-12-2018
1498
Mean-Value Property
Let a function 
be continuous on an open set 
. Then 
is said to have the 
-property if, for each 
, there exists an 
such that 
, where 
is a closed disk, and for every 
,
If 
has the mean-value property, then 
is harmonic.
REFERENCES:
Krantz, S. G. "The Mean Value Property on Circles." §7.4.1 in Handbook of Complex Variables. Boston, MA: Birkhäuser, p. 94, 1999.
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