Can there be a symbol for continuous product?

We know that continuous version of $\sum$ is $\int$, but, can there be a continuous version of $\Pi$?

• Equally loosely speaking, $\,\prod = e^{\sum \ln }\,$. – dxiv Jul 10 '17 at 6:07
• $e^{\int \log}?$ ${}$ – Chris Jul 10 '17 at 6:07
• – Rahul Jul 10 '17 at 6:17
• @dxiv That works if we product integrate a positive (or at least nonnegative) function, but the product integral is more interesting for operators (e.g. matrices) that don't commute. – md2perpe Jul 10 '17 at 7:36