TY - JOUR
T1 - Momentum transforms and Laplacians in fractional spaces
AU - Nardelli, Giuseppe
AU - Calcagni, Gianluca
PY - 2012
Y1 - 2012
N2 - We define an infinite class of unitary transformations between configuration and momentum fractional spaces, thus generalizing the Fourier transform to a special class of fractal geometries. Each transform diagonalizes a unique Laplacian operator. We also introduce a new version of fractional spaces, where coordinates and momenta span the whole real line. In one topological dimension, these results are extended to more general measures.
AB - We define an infinite class of unitary transformations between configuration and momentum fractional spaces, thus generalizing the Fourier transform to a special class of fractal geometries. Each transform diagonalizes a unique Laplacian operator. We also introduce a new version of fractional spaces, where coordinates and momenta span the whole real line. In one topological dimension, these results are extended to more general measures.
KW - Fractional field theory
KW - Fractional field theory
UR - http://hdl.handle.net/10807/43789
UR - http://intlpress.com/site/pub/pages/journals/items/atmp/content/vols/0016/0004/00026468/index.html
U2 - 10.4310/ATMP.2012.v16.n4.a5
DO - 10.4310/ATMP.2012.v16.n4.a5
M3 - Article
SN - 1095-0761
VL - 2012
SP - 1315
EP - 1348
JO - Advances in Theoretical and Mathematical Physics
JF - Advances in Theoretical and Mathematical Physics
ER -