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math.FA2010★ 1 cited
Generalized vectorial Lebesgue and Bochner integration theory
Victor M. Bogdan
This paper contains a development of the Theory of Lebesgue and Bochner spaces of summable functions. It represents a synthesis of the results due to H. Lebesgue, S. Banach, S. Boc…
math-ph2010
Representation of fields associated with any moving point mass by means of fundamental fields corresponding to its trajectory in the frame of Einstein's special theory of relativity
Victor M. Bogdan
Assume that in a Lorentzian frame is given a relativistically admissible trajectory of a point mass. An event in such a frame can be described by four coordinates, first three repr…