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pro vyhledávání: '"Peretz, Ronen"'
Autor:
Peretz, Ronen
In this paper we give a counterexample to the conjecture: Let $S\in{\rm SInn}$. Then $z\cdot S$ is onto $U$.
Comment: It is not proved that the function $S$ is in fact an inner function
Comment: It is not proved that the function $S$ is in fact an inner function
Externí odkaz:
http://arxiv.org/abs/2205.10165
Autor:
Peretz, Ronen
There are three types of results in this paper. The first, extending a representation theorem on a conformal mapping that omits two values of equal modulus. This was due to Brickman and Wilken. They constructed a representation as a convex combinatio
Externí odkaz:
http://arxiv.org/abs/1806.03616
Autor:
Peretz, Ronen
This paper develops further the theory of the automorphic group of non-constant entire functions. This theory has already a long history that essentially started with two remarkable papers of Tatsujir\^o Shimizu that were published in 1931. The eleme
Externí odkaz:
http://arxiv.org/abs/1709.10262
Autor:
Peretz, Ronen
This paper develops further the theory of the automorphic group of non-constant entire functions. This theory essentially started with two remarkable papers of Tatsujir\^o Shimizu that were published in 1931. There are three results in this paper. Th
Externí odkaz:
http://arxiv.org/abs/1709.10265
Autor:
Peretz, Ronen
We answer a question that was asked by Albert Baernstein II, regarding the coefficients of circular symmetrization. The conjecture is not true generically.
Externí odkaz:
http://arxiv.org/abs/1611.10043
Autor:
Peretz, Ronen
This paper describes a part of the factorization theory of the family of all the entire functions with non vanishing derivatives. In particular it proves that this family of mappings contains primes. This assures that this family of entire functions
Externí odkaz:
http://arxiv.org/abs/1608.07174
Autor:
Peretz, Ronen
In this paper we investigate properties of the Steiner symmetrization in the complex plane. We use two recursive dynamic processes in order to derive some sharp inequalities on analytic functions in the unit disk. We answer a question that was asked
Externí odkaz:
http://arxiv.org/abs/1607.01674
Autor:
Peretz, Ronen
We prove results on fibers of polynomial mappings Rn ! Rn and deduce when such mappings are surjective under certain conditions.
Externí odkaz:
http://arxiv.org/abs/1602.01779
Autor:
Peretz, Ronen
We prove that the weakly singular, non-linear convolution integral equation $\int_{\mathbb{R}^n}|x-y|^{-\lambda}f(y)dy=f(x)^{p-1}$, where $0<\lambda
Externí odkaz:
http://arxiv.org/abs/1508.03274
Autor:
Peretz, Ronen
We prove the Jacobian Conjecture for the space of all the inner functions in the unit disc.
Externí odkaz:
http://arxiv.org/abs/1409.1423