Paolo CaressaSep 25, 2023
Well, I've found it at a discounted price and I couldn't resist buying it... a piece of history of operator algebras, even if the differential equation stuff is the actual reason I bought it.
#Gelfand
xameerDec 6, 2020

{ A=L^{1}R}*, group algebra A of { {R} }, then { \Phi _{A}} 1 is #homeomorphic H to R #Gelfand transform T of f\in L^1is Fourier T f'

* _{+})} ¢ L^1-conv(A) of R half-line, then 1 is H to {\{z\in {C} ~\colon ~\op Re(z > 0\}}, and Gof an element { f\in ¢ is #Laplace T(L(f))

xameerDec 6, 2020

{ A=L^{1}R}*, group algebra A of { {R} }, then { \Phi _{A}} 1 is #homeomorphic H to R #Gelfand transform T of f\in L^1is Fourier T f'

* _{+})} ¢ L^1-conv(A) of R half-line, then 1 is H to {\{z\in {C} ~\colon ~\op Re(z > 0\}}, and Gof an element { f\in ¢ is #Laplace T(L(f))