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WROCŁAW UNIVERSITY
OF SCIENCE AND
TECHNOLOGY

Contents of PMS, Vol. 43, Fasc. 1,
pages 83 - 108
DOI: 10.37190/0208-4147.00118
Published online 6.7.2023
 

Ground-state representation for the fractional Laplacian on~the half-line

T. Jakubowski
P. Maciocha

Abstract:

We give a ground-state representation for the fractional Laplacian with Dirichlet condition on the half-line.

2010 AMS Mathematics Subject Classification: Primary 60J35; Secondary 60G52, 60J45.

Keywords and phrases: fractional Laplacian, Dirichlet heat kernel, Hardy identity.

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