A general energy formula

• Autores: Kathryn E. Hare, Parasar Mohanty, Maria Roginskaya
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 101, Nº 1, 2007, págs. 29-47
• Idioma: inglés
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• Resumen

  • 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 from more general kernels. This involves estimating the Fourier transform of the kernel. The formula is used to study certain measures of (classical) energy dimension zero.