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A general energy formula

Kathryn E Hare ; Mohanty Parasar ; Maria Roginskaya (Institutionen för matematiska vetenskaper, matematik)
MATHEMATICA SCANDINAVICA Vol. 101 (2007), 1, p. 29-47.
[Artikel, refereegranskad vetenskaplig]

An analogue of the formula relating the Riesz energy of a measure on the torus with a weighted l2 norm of its Fourier transform is given for energies arising frommore general kernels. This involves estimating the Fourier transform of the kernel. The formula is used to study certain measures of (classical) energy dimension zero.



Denna post skapades 2007-11-14. Senast ändrad 2014-09-29.
CPL Pubid: 61753

 

Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)

Ämnesområden

Matematisk analys

Chalmers infrastruktur