Zobrazeno 1 - 10
of 15
pro vyhledávání: '"Tomasz Goliński"'
This volume collects papers based on lectures given at the XL Workshop on Geometric Methods in Physics, held in Białowieża, Poland in July 2023. These chapters provide readers an overview of cutting-edge research in infinite-dimensional groups, int
This volume collects papers based on lectures given at the XXXIX Workshop on Geometric Methods in Physics, held in Białystok, Poland in June 2022. These chapters provide readers an overview of cutting-edge research in geometry, analysis, and a wide
Autor:
Tomasz Goliński, Zenon Foltynowicz
Publikováno v:
Polish Journal of Environmental Studies. 27:1513-1521
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1bf2ae9a603408eca570316e55967014
https://doi.org/10.15244/pjoes/77097
https://doi.org/10.15244/pjoes/77097
Autor:
Tomasz Goliński
We present an approach to the factorization method for second order difference equations on time scales. We construct Hilbert spaces of functions on the time scale and show how to construct a chain of intertwined first order $\Delta$-difference opera
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cd51b8207619dfe2fc52122c7870a0fe
We give a method to construct Poisson brackets $\{\cdot,\cdot\}$ on Banach manifolds~$M$, for which the value of $\{f,g\}$ at some point $m\in M$ may depend on higher order derivatives of the smooth functions $f,g\colon M\to{\mathbb R}$, and not only
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a139d80e5c9b89fdb5491a7b6062194e
Autor:
Tomasz Goliński, Anatol Odzijewicz
Publikováno v:
Journal of Functional Analysis. 258:3266-3294
Using the Magri method one defines an involutive family of Hamiltonians on Banach Lie-Poisson space iR+UL_res^1 (which contains the restricted Grassmannian as a symplectic leaf) and on its complexification C+L_res^1. The hierarchy of Hamilton equatio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3c536d39723db72605081a75a6cee1cc
https://doi.org/10.1016/j.jfa.2010.01.019
https://doi.org/10.1016/j.jfa.2010.01.019
Publikováno v:
Czechoslovak Journal of Physics. 56:1161-1165
One integrates the infinite-dimensional fermionic system governed by the superconductivity-like Hamiltonian. The theory of orthogonal polynomials is applied.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d5251d681baad1e241aaa78f331cba9d
https://doi.org/10.1007/s10582-006-0418-6
https://doi.org/10.1007/s10582-006-0418-6
Publikováno v:
Czechoslovak Journal of Physics. 54:1257-1263
The factorization is a well-known method of solving difference and differential equations. We discuss the change of variables in the approach based on the notion of generalized derivative operator. It is shown that the method is equivariant with resp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::012781867be71e943fe524bc55154029
https://doi.org/10.1007/s10582-004-9787-x
https://doi.org/10.1007/s10582-004-9787-x
Autor:
Alina Dobrogowska, Tomasz Goliński
Publikováno v:
Trends in Mathematics ISBN: 9783319182117
We consider a dual space to a Lie algebra of deformed skew-symmetric matrices equipped with two compatible Poisson brackets: the Lie–Poisson bracket and the frozen bracket.We obtain a bi-Hamiltonian integrable system. As an example we present a cas
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::66d09108b3d69561ef78a9f435d93a65
https://doi.org/10.1007/978-3-319-18212-4_19
https://doi.org/10.1007/978-3-319-18212-4_19
Autor:
Tomasz Goliński, Anatol Odzijewicz
Publikováno v:
Czechoslovak Journal of Physics. 52:1219-1224
One investigates a generalization of difference calculus and applies it to solve the functional equations of second order.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2c13f9018c9904eb17e72d237b4886db
https://doi.org/10.1023/a:1021380803164
https://doi.org/10.1023/a:1021380803164