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< * [[Nonlinear Seminar|Nonlinear Seminars in 2014]]
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> * [[Nonlinear Seminar|Nonlinear Seminars in 2016]]
> * [[Nonlinear Seminars in 2015]]
> * [[Nonlinear Seminars in 2014]]
Here are the titles and abstracts of the seminars which were held in 2011:
Jędrzej Sadowski
Definitions of the N-almost periodic functions
We will show differend ways to define N-almost periodic functions and prove their equivalence.
Marcin Wachowiak
Applications of Theorem Hopf-Lefschetz fixed point
(Continuation of the 2011-11-22 Nonlinear Seminar and 2011-11-29 Nonlinear Seminar and 2011-12-06 Nonlinear Seminar).
Marcin Wachowiak
Applications of Theorem Hopf-Lefschetz fixed point
(Continuation of the 2011-11-22 Nonlinear Seminar and 2011-11-29 Nonlinear Seminar).
Marcin Wachowiak
Applications of Theorem Hopf-Lefschetz fixed point
(Continuation of the 2011-11-22 Nonlinear Seminar).
Marcin Wachowiak
Applications of Theorem Hopf-Lefschetz fixed point
In the first part of the discussion we introduce the necessary concepts and facts about the homology and cohomology, then we will discuss the Hopf-Lefschetz theorem and its applications
Marcin Borkowski, Piotr Maćkowiak (Poznań University of Economics)
On superposition of formal power series
(Continuation of the 2011-11-08 Nonlinear Seminar)
Marcin Borkowski, Piotr Maćkowiak (Poznań University of Economics)
On superposition of formal power series
We will present a new proof of a criterion for existence of superposition of formal power series given by Gan and Knox. We will also give some properties concerning the behavior of such series on the boundary of their convergence circle.
Adam Burchardt
Schauder fixed point, revisited
(Continuation of the 2011-10-18, 2011-10-11 and 2011-10-04 nonlinear seminars).
Adam Burchardt
Schauder fixed point, revisited
(Continuation of the 2011-10-11 and 2011-10-04 nonlinear seminars).
Adam Burchardt
Schauder fixed point, revisited
(Continuation of the 2011-10-04 Nonlinear Seminar).
Adam Burchardt
Schauder fixed point, revisited
During the seminar we are going to discuss the following generalization of the classical Schauder fixed point theorem due to R. Cauty:
Let be a convex subset of a topological vector space . If is a continuous function such that is contained in a compact subset of , then has a fixed point.
The talk is based on the following paper: R. Cauty, Solution du problème de point fixe de Schauder, Fund. Math. 170 (2001), 231-246.
Marcin Borkowski
Some remarks on convergence of power series at the boundary of the convergence circle
We will present a theorem concerning convergence of power series—together with all its derivatives—at the boundary of the convergence circle.
Joanna Wypych
On superposition of formal power series
(Continuation of the 2011-05-10 and 2011-05-17 seminars)
Joanna Wypych
On superposition of formal power series
(Continuation of the 2011-05-10 Nonlinear Seminar)
Joanna Wypych
On superposition of formal power series
In the beginning we will present basic definitions concerning formal power series and their properties. Then we will discuss two theorems on superposition of such series. The talk is based on a paper On composition of formal power series by Xiao-Xiong Gan and Nathaniel Knox.
Piotr Kasprzak
On the equivalent characterizations of Levitan almost periodic functions
(Continuation of the 2011-02-22 Nonlinear Seminar)
Marcin Borkowski
On formal power series
(Continuation of the 2010-12-21 and 2011-03-15 Nonlinear Seminar seminars)
Adam Nawrocki
Examples of Henstock-Kurzweil integrable functions
We will present methods of proving Henstock-Kurzweil integrability of real functions.
Piotr Kasprzak
On a new class of almost periodic functions
During the talk not only will we define the so-called quasi almost automorphic functions but also we will prove some basic properties of these functions.
Joanna Wypych
Formal power series
(Continuation of the 2011-01-18 and 2011-03-08 seminars)
Marcin Borkowski
On formal power series
(Continuation of the 2010-12-21 Nonlinear seminar).
Joanna Wypych
Formal power series
(Continuation of the 2011-01-18 Nonlinear Seminar)
On the dual space to the space of Henstock-Kurzweil integrable functions
During the talk we will present the result of Alexiewicz which gives a characterization of the dual space to the space of Henstock-Kurzweil integrable functions defined on a bounded interval.
Piotr Kasprzak
On the equivalent characterizations of Levitan almost periodic functions
Joanna Wypych
Formal power series
We will discuss basic properties of formal power series and the Krull topology. Among others, we will present theorems on the distributive laws and invertibility of a series. The talk will be based on the book by S. Łojasiewicz and J. Stasica Formal analysis and analytic functions (in Polish).
Marcin Wachowiak
A fixed point theorem for mappings satisfying the interior condition
(Continuation of the 2010-11-23, 2010-11-30 and 2010-12-07 Nonlinear seminars).
Wojciech Jankowski
On a certain fixed point theorem for discontinuous mappings