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On the universality of multipliers on H(C)
In this paper we study the universal behaviour of multipliers on the space H(C) of entire functions endowed with the compact open topology....
BA - Obecná matematika
- 2010 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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The infinite products
The aim of this contribution is to show some aspects of the development of the theory of infinite products. Special attention is given to the product representations of the entire functions....
BA - Obecná matematika
- 2002 •
- D
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D - Stať ve sborníku
Complex Analysis
The textbook is devoted to the foundations of the theory of functions of a complex variable. The attention is focused especially on the integration in C, the Cauchy theory, properties of holomorphic functios, calculus of residues and its app...
BA - Obecná matematika
- 2006 •
- O
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O - Ostatní výsledky
On the exceptional set of transcendental entire functions in several variables
We prove that any subset of Qm (closed under complex conjugation and which contains the origin) is the exceptional set of uncountably many transcendental entire functions over Cm with rational coefficients. This result solves a seve...
Pure mathematics
- 2024 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Advanced valve train prototype
, or the entire combustion engine, becomes a key mechanical subsystem, ensuring the replacement of the cylinder filling. Its reliable function has a direct effect on the functioning of the entire internal combustio...
Mechanical engineering
- 2022 •
- Gprot
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Gprot - Prototyp
A remark on the approximation theorems of Whitney and Carleman-Scheinberg
We show that a $C^k$-smooth mapping on an open subset can be approximated in a fine topology and together with its derivatives by a restriction of a holomorphic mapping with explicitly described domain. As a corollary we obtain a generalisation of th...
BA - Obecná matematika
- 2015 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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A note on transcendental analytic functions with rational coefficients mapping Q into itself
In this note, the main focus is on a question about transcendental entire functions mapping Q into Q (which is related to a Mahler’s problem). In particular, we prove that, for any t > 0, there is no a transcendental entire
Pure mathematics
- 2024 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Preface
The preface describes the origin and the significance of the book in the context of the author's career and entire work.
AI - Jazykověda
- 2016 •
- C
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C - Kapitola v odborné knize
On generalized Dhombres equations with nonconstant polynomial solutions in the complex plane
We characterize functional equations of the form f(z f(z)) = f(z)(k+ 1), z is an element of C, with k is an element of N, like those generalized Dhombres equations f(z f(z)) =phi(f(z)), z is an element of C, with given entire fu...
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Discrete analysis on non-cubic lattices
The paper proposes practical and computation methods for discrete analysis of functions defined on the weight lattices or model sets of semisimple Lie groups. They are entirely group theoretical, being based on finite groups and the...
Pure mathematics
- 2019 •
- D •
- Link
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D - Stať ve sborníku
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