Bell matrices and Bell polynomials

[Daniel]

Thanks Gottfried. It turns out that Androvandi and Freitas' paper has a nice section on Bell polynomials before it moves on to Bell matrices. So I already have the connection between partial Bell polynomials and Bell matrices that I can reference.

JmsNxn, thanks for the clarification of the connection between integrals and operators. As a habit I try and look at new ideas and ask if I am seeing something that can easily be generalized. I am comfortable with operators, but I have no background in integral transforms. I'm aware of the connection between Heisenberg matrices and hyperbolic flows. My first technical job was as a seismologist back in the late Seventies, I ate and drank waveforms, convolution filters and such.

While I have little formal math, I attempt to look at things in the context of Banach and Fréchet space. My specialty is working with total partitions, the combinatoric structure of iterated functions. I need to understand umbral calculus better as I believe there is a neat representation of iterated functions there. Also I think Hopf algebra is important, but beyond me at the moment. Definitely interested in the mathematics developed for QM and QFT.

I'd write more but I am in the guts of writing a paper. Once, again, thanks and best wishes.