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On singularities of almost periodic functions. (English) Zbl 1001.42004

Slovák, Jan (ed.) et al., The proceedings of the 20th winter school “Geometry and physics”, Srní, Czech Republic, January 15-22, 2000. Palermo: Circolo Matematico di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 66, 207-211 (2001).
Summary: We consider nondegenerate critical points of almost periodic functions. We present a new explicit method of constructing almost periodic functions in order to show that their critical points need not in general have a well-defined distribution density in the domain.
For the entire collection see [Zbl 0961.00020].

MSC:

42A75 Classical almost periodic functions, mean periodic functions
58E05 Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces