Measure theory and variational analysis form a robust framework underpinning modern analysis and partial differential equations. This interdisciplinary field integrates techniques for quantifying ...

Non-additive measure theory extends the traditional framework of measure and integration by allowing for measures that do not necessarily satisfy the additivity property. This broader perspective has ...

This paper is an extension of the efforts to cast the theory of measure and integration into the framework of nonstandard analysis, begun by Robinson [7, particularly Theorem 3.5.2], and continued by ...

Perimeter Institute for Theoretical Physics, in conjunction with the University of Waterloo, is offering a technical but pedagogical lecture series on the problems associated with developing a ...