We argue that there should exist a “noncommutative Fourier transform” which should identify functions of noncommutative variables (say, of matrices of indeterminate size) and ordinary functions or measures on the space of paths. Some examples are considered.
CITATION STYLE
Kapranov, M. (2009). Noncommutative geometry and path integrals. In Progress in Mathematics (Vol. 270, pp. 49–87). Springer Basel. https://doi.org/10.1007/978-0-8176-4747-6_3
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