book: the theory of fractional powers of operators
I just found out that there is this interesting book about fractional powers of operators.

Maybe it can be useful for our purposes. For example on can consider the infinite Carlemann-matrix of to be an operator (which is the infinite version of our matrix power method). However I didnt have a look into the book yet, so I dont know what they for example say about uniqueness etc.
Cannot be found at elsevier.
Here is a table of contents: (6'2010)

Gottfried Helms, Kassel
Here is an open access paper with a similar title:

Possibly Related Threads…
Thread Author Replies Views Last Post
  Discussing fractional iterates of \(f(z) = e^z-1\) JmsNxn 2 56 11/22/2022, 03:52 AM
Last Post: JmsNxn
  Fibonacci as iteration of fractional linear function bo198214 48 3,448 09/14/2022, 08:05 AM
Last Post: Gottfried
  The iterational paradise of fractional linear functions bo198214 7 473 08/07/2022, 04:41 PM
Last Post: bo198214
  Describing the beta method using fractional linear transformations JmsNxn 5 426 08/07/2022, 12:15 PM
Last Post: JmsNxn
  Apropos "fix"point: are the fractional iterations from there "fix" as well? Gottfried 12 1,039 07/19/2022, 03:18 AM
Last Post: JmsNxn
  Fractional iteration of x^2+1 at infinity and fractional iteration of exp bo198214 17 30,279 06/11/2022, 12:24 PM
Last Post: tommy1729
  " x-theory " tommy1729 1 1,039 08/12/2021, 12:17 AM
Last Post: tommy1729
  Dynamical Systems and Number Theory Daniel 4 2,400 06/01/2021, 11:34 PM
Last Post: JmsNxn
  [exercise] fractional iteration of f(z)= 2*sinh (log(z)) ? Gottfried 4 3,066 03/14/2021, 05:32 PM
Last Post: tommy1729
  Math overflow question on fractional exponential iterations sheldonison 4 10,872 04/01/2018, 03:09 AM
Last Post: JmsNxn

Users browsing this thread: 1 Guest(s)