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A. G. Domínguez and S. E. Trione, On the laplace transforms of retarded, lorentz-invariant functions
1979
Earlier work this paper cites.
L. Bombelli, J. Lee, D. Meyer, and R. D. Sorkin, Space-time as a causal set
1987
Earlier work this paper cites.

Similar

R. D. Sorkin, Does Locality Fail at Intermediate Length-Scales
2009
Cited alongside, same era.
D. M. T. Benincasa and F. Dowker, Scalar Curvature of a Causal Set
Original
2010
Cited alongside, same era.

Then

Cambridge University Press, New York, NY, USA, 1st ed., 2010
F. W. Olver, D. W. Lozier, R. F. Boisvert, and C. W. Clark, NIST Handbook of Mathematical Functions · 2010
Later among the works it cites.
F. Dowker and L. Glaser, Causal set d’Alembertians for various dimensions
Original
2013
Later among the works it cites.

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2014

Generalized Causal Set d'Alembertians

Aslanbeigi, Siavash, Saravani, Mehdi, Sorkin, Rafael D.

Understand

We introduce a family of generalized d'Alembertian operators in D-dimensional Minkowski spacetimes which are manifestly Lorentz-invariant, retarded, and non-local, the extent of the nonlocality being governed by a single parameter $\rho$.

The prototypes of these operators arose in earlier work as averages of matrix operators meant to describe the propagation of a scalar field in a causal set.
We generalize the original definitions to produce an infinite family of ''Generalized Causet Box (GCB) operators'' parametrized by certain coefficients $\{a,b_n\}$, and we derive the conditions on the latter needed for the usual d'Alembertian to be recovered in the infrared limit.
The continuum average of a GCB operator is an integral operator, and it is these continuum operators that we mainly study.