05/03/2021, 05:31 PM
Hi everyone, I'm an amateur in iteration theory. Lately I've read one of @MphLee's posts and then my previous work occurred to me and I started to reorganize them.
I've been worked for many years on what @MphLee called the generalized superfunctions (which I prefer to call "eigen-decomposit·ive functional equation"), and I have poor knowledge about the set theory so that my work may have some logistic false in it(plz someone help and I really appreciate it
).
I call it "eigen-decomposit·ive" because the equation for which generalized superfunction hold true, is analogous to the eigenvalue decomposition of a matrix in the field of linear algebra, and someone may find it really analogous to conjugacy, so the name doesn't matter at all.
And here I'm posting the previous part of my main work, in which I used the term "multivalued" or the concept of "multivalued function" many times, even if the term remains controversial till modern times, it(or the concept) still helps a lot in iteration theory(the reason will be explained soon, updating). And if someone have any trouble understanding it, I'd recommend to consider it as a function having many branch cuts.
I hope my work could be contributive to the modern iteration theory.
Regards.
I've been worked for many years on what @MphLee called the generalized superfunctions (which I prefer to call "eigen-decomposit·ive functional equation"), and I have poor knowledge about the set theory so that my work may have some logistic false in it(plz someone help and I really appreciate it
).I call it "eigen-decomposit·ive" because the equation for which generalized superfunction hold true, is analogous to the eigenvalue decomposition of a matrix in the field of linear algebra, and someone may find it really analogous to conjugacy, so the name doesn't matter at all.
And here I'm posting the previous part of my main work, in which I used the term "multivalued" or the concept of "multivalued function" many times, even if the term remains controversial till modern times, it(or the concept) still helps a lot in iteration theory(the reason will be explained soon, updating). And if someone have any trouble understanding it, I'd recommend to consider it as a function having many branch cuts.
I hope my work could be contributive to the modern iteration theory.
Regards.
Regards, Leo 