A general energy formula

Kathryn E. Hare; Parasar Mohanty; Maria Roginskaya

doi:10.7146/math.scand.a-15030

A general energy formula

Authors

Kathryn E. Hare
Parasar Mohanty
Maria Roginskaya

DOI:

https://doi.org/10.7146/math.scand.a-15030

Abstract

An analogue of the formula relating the Riesz energy of a measure on the torus with a weighted $l^{2}$ 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.

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Published

2007-09-01

How to Cite

Hare, K. E., Mohanty, P., & Roginskaya, M. (2007). A general energy formula. MATHEMATICA SCANDINAVICA, 101(1), 29–47. https://doi.org/10.7146/math.scand.a-15030