Abstract
We define, using difference operators, classes of functions defined on the set of points with integer coordinates which are preserved under the formation of marginal functions. The duality between classes of functions with certain convexity properties and families of second-order difference operators plays an important role and is explained using notions from mathematical morphology.
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Kiselman, C.O., Samieinia, S. (2017). Convexity of Marginal Functions in the Discrete Case. In: Andersson, M., Boman, J., Kiselman, C., Kurasov, P., Sigurdsson, R. (eds) Analysis Meets Geometry. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-52471-9_18
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DOI: https://doi.org/10.1007/978-3-319-52471-9_18
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-52469-6
Online ISBN: 978-3-319-52471-9
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