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A list of all the posts and pages found on the site. For you robots out there is an XML version available for digesting as well.
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About Me
About Me
Posts
publications
A Besov algebra calculus for generators of operator semigroups and related norm-estimates
Published in Mathematische Annalen, 2019
We construct a new bounded functional calculus for the generators of bounded semigroups on Hilbert spaces and generators of bounded holomorphic semigroups on Banach spaces. The calculus is a natural (and strict) extension of the classical Hille–Phillips functional calculus, and it is compatible with the other well-known functional calculi. It satisfies the standard properties of functional calculi, provides a unified and direct approach to a number of norm-estimates in the literature, and allows improvements of some of them.
Recommended citation: Batty, Charles & Gomilko, Alexander & Tomilov, Yuri. (2019). A Besov algebra calculus for generators of operator semigroups and related norm-estimates. Mathematische Annalen. 10.1007/s00208-019-01924-2. https://link.springer.com/article/10.1007/s00208-019-01924-2
On the asymptotic behaviour of solutions of the Dirac system and applications to the Sturm-Liouville problem with singular potential.
Published in Journal Spectral Theory, 10(2020), 747-786., 2020
Recommended citation: Gomilko, Alexander & Rzepnicki Łukasz. (2020).
teaching
2017
Undergraduate course, UMK, Faculty of Mathematics and Computer Science, 2017
COURSES COORDINATED
- 2017/18 - (in Polish) Przestrzenie Sobolewa 1000-M3M1704
- 2017/18Z - Numerical Methods 1000-M2NUM
- 2017/18L - (in Polish) Elementy teorii operatorów na przestrzeni Banacha 1000-M2ETO
2018
Undergraduate course, UMK, Faculty of Mathematics and Computer Science, 2018
COURSES COORDINATED
- 2018/19 - (in Polish) Analityczna teoria liczb 1000-M3M1805
- 2018/19 - Masters seminar II 1000-M2SEMmgrcd
- 2018/19Z - Numerical Methods 1000-M2NUM
- 2018/19L - Monographic lecture 1000-M2M1801
2019
Undergraduate course, UMK, Faculty of Mathematics and Computer Science, 2019
COURSES COORDINATED
- 2019/20Z - (in Polish) Wykład monograficzny 1000-M2M1801cd
- 2019/20Z - Numerical Methods 1000-M2NUM
2020
Undergraduate course, UMK, Faculty of Mathematics and Computer Science, 2020
