Singular integrals, harmonic functions, and differentiability properties of functions of several variables

Author(s):  
E. M. Stein
1960 ◽  
Vol 103 (1-2) ◽  
pp. 25-62 ◽  
Author(s):  
Elias M. Stein ◽  
Guido Weiss

1987 ◽  
Vol 10 (3) ◽  
pp. 443-452 ◽  
Author(s):  
A. fryant ◽  
H. Shankar

We consider Harmonic Functions,Hof several variables. We obtain necessary and sufficient conditions on its Fourier coefficients so thatHis an entire harmonic (that is, has no finite singularities) function; the radius of harmonicity in terms of its Fourier coefficients in caseHis not entire. Further, we obtain, in terms of its Fourier coefficients, the Order and Type growth measures, both in caseHis entire or non-entire.


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