Moebius inversion formula and inverting lattice sums

Details Moebius inversion formula and inverting lattice sums Moebius inversion formula and inverting lattice sums

Nov 2000

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000spie.4123..261m&link_type=abstract

Proc. SPIE Vol. 4123, p. 261-268, Image Reconstruction from Incomplete Data, Michael A. Fiddy; Rick P. Millane; Eds.

Computer Science

Scientific paper

The Mobius inversion formula is an interesting theorem from number theory that has application to a number inverse problems, particularly lattice problems. Specific inverse problems, however, often require related Mobius inversion formulae that can be derived from the fundamental formula. Derivation of such formulae is not easy for the non- specialist, however. Examples of the kinds of inversion formulae that can be derived and their application to inverse lattice problems are described.

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