Abstract
A concept of generalized bounded variation for functions in s real variables is introduced. It is proved that the space of functions of this kind is a commutative Fréchet algebra with respect to pointwise multiplication. Several properties of this algebra are established.
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Blümlinger, M., Tichy, R.F. Topological algebras of functions of bounded variation I. Manuscripta Math 65, 245–255 (1989). https://doi.org/10.1007/BF01168302
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DOI: https://doi.org/10.1007/BF01168302