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31-XX Potential theory
31Bxx Higher-dimensional theory
31B05 Harmonic, subharmonic, superharmonic functions

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Valiron-Titchmarsh Theorem for Subharmonic Functions in $ℝ^{n}$ With Masses on a Half-Line

Alexander I. Kheyfits (2014)

Annales de la faculté des sciences de Toulouse Mathématiques

The Valiron-Titchmarsh theorem on asymptotic behavior of entire functions with negative zeros is extended to subharmonic functions in $ℝ^{n}, n \geq 3$ , having the Riesz masses on a ray.

Vertical variation of harmonic functions in upper half-spaces

Michael D. O'Neill (2001)

Colloquium Mathematicae

Some results of Bourgain on the radial variation of harmonic functions in the disk are extended to the setting of harmonic functions in upper half-spaces.

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