Recent content by philipp_w

Do you know any source e.g. textbook which treats this more general problem? I would like to consider the Lesbegue integral, where this differentiation technique finally reaches its boundaries ;)

I think I got it now, let us try to formalize this a bit: We only consider absolutely continuous RV, but will use the Riemann integral for simplicity. Let ##I \subseteq ℝ## be an open interval and X be an RV with ##X \colon \Omega \to I## of continuous type. Let ##\Phi \colon I \to J## be...

I will try to follow your notation: Your treatments ended with the result P(U \leq u ) = G(u) = F(h^{-1}(u)) But only if I knew in advance that P(U \leq u) is of continuous type, meaning that P_{U} \ll \mathbf{\lambda}, where ##P_{U}## is the image measure of the probability measure...

Hi there, I am currently reading Rohatgi's book "An introduction to probability and statistics" (http://books.google.de/books?id=IMbVyKoZRh8C&lpg=PP1&hl=de&pg=PA62#v=onepage&q&f=true). My questions concerns the "technique" of finding the PDF of a transformed random varibale Y by a function...

thats my problem

Am I right in the assumption that this is a sort of some natural requirement to those field operators fullfiling the equations of motions? Because since we started with our intuitive wave-partivle thinking from the Schrödinger theory to predict a relativistic wave equation, we got stucked in...

Currently I am working through a script concerning QFT. To introduce the concept of canonical filed quantisation one starts with the (complex valued) Klein-Gordon field. I think the conept of quantising fields is clear to me but I am not sure if one can claim that the equations of motion for the...

But this sounds more like a definition to me, something grown out of experience or being a convention. I hope that I am right in thinking of irreducible representations as the fundamental object for any representation(?) And that is the reason for looking such structures if we are doing...

so to understand you right; the reason to look for irred.reps (in physics!) is just something according to their great (mathematical) properties...there's nothing like a 1:1 correspondance in nature that allows us only to look for irreducibel reps. It is sometimes tricky in physics to find...

Hallo, I would like to know why physicists are always seeking for irreducible representation of a given group. I know that a reducible one is decomposable into irreducible representations (under special circumstances), but what is the physical motivation that irreducible reps are fundamental...

hi, i am also trying to do the same as you do. but I got stucked on the formula (2.B.7). It seems that you have the answer, could you please provide me with that one. I am not sure what is really done to achieve this result in (2.B.7). greets - philipp

surjective? I would like to know why the Gelfand transform in the case of a commutative, unital Banach Algebra is isomorphic to a SUBalgebra on C(Omega). So why is the gelfand transform a function "into" C(Omega)? Why does the Gelfand transform not reach all continuous functions which can be...