Scalar field on non-integer dimensional spaces

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G. Landi, Introduction to Noncommutative Spaces & Their Geometries , Springer-Verlag New York (1997)

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J. Madore, An Introduction to Noncommutative Differential Geometry & Its Applications , Cambridge University Press (1995, 1998, 2000),

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J.M. Gracia-Bondia, J. C. Varilly and H. Figueroa, Elements of Noncommutative Geometry , Birkhauser Boston (2000)

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See for example, M. Douglas and N. Nekrasov, Noncommutative field theory. Rev. Mod. Phys. 73, 977–1029 (2001)

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E. Christensen, C. Ivan and M. L. Lapidus, Dirac operators and spectral triples for some fractal sets built on curves , Adv. in Math. 217 (2008), 42-78

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R. Trinchero, "Examples of non-integer dimensional geometries" , arXiv:0809.4678,(2008);

Original

2008

Later among the works it cites.