Omg... At first I was starting panicking... you were not talking about kernel of operators. Everywhere in algebra, linear algebra, functional analysis, matrix theory, groups, monoids and everywhere, even Hilb the cat. of hilbert spaces, kernel has an universal meaning: it is the set of vectors on which the operator vanishes. It is the set of zeroes of the operator.
In fact you're talking about the integral kernel or Hilbert–Schmidt kernel of an operator!!!
Damn, you are pushing my knowledge always to my limits. I'm seriously shocked by this actually. I was COMPLETELY unaware of this integral presentation and I wasn't expecting that hit... I mean I was wondering since day one what a (infinity x infinity) matrix would look like but damn... this is far worse than your Cauchy black-magic.
Heisenberg vs Schrodinger has to do with some very fundamental duality in mathematics, I red it somewhere multiple times... So if now you are telling me that on one side of the coin there is the matrix formalism for iteration... and on the other side there are integrals.... I'm done. I can feel that this links up heavily with the composition integral too...
My head is exploding... I feel like I can see the holy grail... that's heavy stuff for our iteration business.
Those damn quantum-mechanics guys were fkn paranormal 0.0
ps:
About priorities... idk too. I know less than you about how this works... But I can't unsee what you hinted 0.0
But I'm sure I won't be dangerous for the careers of your colleagues at U of T xD hahah I'll never publish something worthy.
In fact you're talking about the integral kernel or Hilbert–Schmidt kernel of an operator!!!
Damn, you are pushing my knowledge always to my limits. I'm seriously shocked by this actually. I was COMPLETELY unaware of this integral presentation and I wasn't expecting that hit... I mean I was wondering since day one what a (infinity x infinity) matrix would look like but damn... this is far worse than your Cauchy black-magic.
Heisenberg vs Schrodinger has to do with some very fundamental duality in mathematics, I red it somewhere multiple times... So if now you are telling me that on one side of the coin there is the matrix formalism for iteration... and on the other side there are integrals.... I'm done. I can feel that this links up heavily with the composition integral too...
My head is exploding... I feel like I can see the holy grail... that's heavy stuff for our iteration business.
Those damn quantum-mechanics guys were fkn paranormal 0.0
ps:
About priorities... idk too. I know less than you about how this works... But I can't unsee what you hinted 0.0
But I'm sure I won't be dangerous for the careers of your colleagues at U of T xD hahah I'll never publish something worthy.
Mother Law \(\sigma^+\circ 0=\sigma \circ \sigma^+ \)
\({\rm Grp}_{\rm pt} ({\rm RK}J,G)\cong \mathbb N{\rm Set}_{\rm pt} (J, \Sigma^G)\)
