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

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.

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

Cauchy and Poisson integral representations for ultradistributions of compact support and distributional boundary values

1981 ◽  
Vol 91 (1-2) ◽  
pp. 49-62 ◽  
Author(s):  
R. S. Pathak
Keyword(s):  
Analytic Function ◽  
Growth Condition ◽  
Compact Support ◽  
Analytic Functions ◽  
Convex Cone ◽  
Integral Representations ◽  
Boundary Values ◽  
Cauchy Integral ◽  
Boundedness Condition ◽  
Poisson Integrals

SynopsisUltradistributions of compact support are represented as the boundary values of Cauchy and Poisson integrals corresponding to tubular radial domains Tc' =ℝn + iC', C'⊂⊂C, where C is an open, connected, convex cone. The Cauchy integral of is shown to be an analytic function in TC' which satisfies a certain boundedness condition. Analytic functions which satisfy a specified growth condition in TC' have a distributional boundary value which can be used to determine an distribution.

One-sided cluster sets of boundary values of analytic functions

2006 ◽  
Vol 51 (7) ◽  
pp. 661-673 ◽  
Author(s):  
Ricardo Estrada
Keyword(s):  
Analytic Functions ◽  
Boundary Values ◽  
Cluster Sets

scholarly journals Two theorems on boundary values of analytic functions

1978 ◽  
Vol 68 (1) ◽  
pp. 54-54 ◽  
Author(s):  
S. R. Barker
Keyword(s):  
Analytic Functions ◽  
Boundary Values
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