scholarly journals Distributional boundary values of harmonic and analytic functions

1982 ◽  
Vol 89 (1) ◽  
pp. 262-289 ◽  
Author(s):  
R Estrada ◽  
R.P Kanwal
Keyword(s):  
Analytic Functions ◽  
Boundary Values ◽  
Harmonic And Analytic Functions

scholarly journals Regularization of distributions

1998 ◽  
Vol 21 (4) ◽  
pp. 625-636 ◽  
Author(s):  
Ricardo Estrada
Keyword(s):  
Analytic Functions ◽  
Sufficient Condition ◽  
Boundary Values ◽  
Necessary And Sufficient Condition ◽  
Several Variables ◽  
Necessary And Sufficient ◽  
Harmonic And Analytic Functions ◽  
Regularization Of Distributions

We give a simple necessary and sufficient condition for the existence of distributional regularizations. Our results apply to functions and distributions defined in the complement of a point, in one or several variables. We also consider functions defined in the complement of a hypersurface. We apply these results to the existence of distributional boundary values of harmonic and analytic functions.

Some remarks on boundary values of vector-valued harmonic and analytic functions

1991 ◽  
Vol 57 (1) ◽  
pp. 88-96 ◽  
Author(s):  
Wolfgang Hensgen
Keyword(s):  
Analytic Functions ◽  
Boundary Values ◽  
Vector Valued ◽  
Harmonic And Analytic Functions

Distributional boundary values of analytic functions and positive definite distributions

2015 ◽  
Vol 20 (2) ◽  
pp. 210-225
Author(s):  
Saulius Norvidas ◽  
Keyword(s):  
Analytic Functions ◽  
Positive Definite ◽  
Boundary Values

Distributions as Boundary Values of Analytic Functions

2015 ◽  
pp. 163-168
Author(s):  
Philippe Blanchard ◽  
Erwin Brüning
Keyword(s):  
Analytic Functions ◽  
Boundary Values

scholarly journals Boundary values of analytic functions in the Banach space $P^{t}(\sigma)$ on crescents

1995 ◽  
Vol 39 (2) ◽  
pp. 305-322 ◽  
Author(s):  
James Zhijian Qiu
Keyword(s):  
Banach Space ◽  
Analytic Functions ◽  
Boundary Values

scholarly journals Boundary values of analytic functions without distributional point values

2004 ◽  
Vol 35 (1) ◽  
pp. 53-60 ◽  
Author(s):  
Ricardo Estrada
Keyword(s):  
Analytic Functions ◽  
Boundary Values ◽  
Tangential Limits

We give a method to construct distributions that are boundary values of analytic functions which have non-tangential limits at points where the distributional point value does not exist.

On the problem of existence of analytic functions with boundary values of given modulus

1996 ◽  
Vol 187 (1) ◽  
pp. 111-117
Author(s):  
M V Samokhin
Keyword(s):  
Analytic Functions ◽  
Boundary Values
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