Temat: shift invariant - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Shifted model spaces and their orthogonal decompositions
Autorzy:: Câmara, M. Cristina
Kliś-Garlicka, Kamila
Ptak, Marek
Powiązania:: https://bibliotekanauki.pl/articles/29519749.pdf
Data publikacji:: 2024
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: model space
Toeplitz operator
Toeplitz kernel
truncated Toeplitz operator
nearly invariant
shift invariant
Opis:: We generalize certain well known orthogonal decompositions of model spaces and obtain similar decompositions for the wider class of shifted model spaces, allowing us to establish conditions for near invariance of the latter with respect to certain operators which include, as a particular case, the backward shift S*. In doing so, we illustrate the usefulness of obtaining appropriate decompositions and, in connection with this, we prove some results on model spaces which are of independent interest. We show moreover how the invariance properties of the kernel of an operator T, with respect to another operator, follow from certain commutation relations between the two operators involved.
Źródło:: Opuscula Mathematica; 2024, 44, 3; 341-357
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: On some shift invariant integral operators, univariate case
Autorzy:: Anastassiou, George
Gonska, Heinz
Powiązania:: https://bibliotekanauki.pl/articles/1311499.pdf
Data publikacji:: 1995
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: global smoothness preservation
convergence to the unit with rates
Jackson type inequalities
sharp inequalities
modulus of continuity
integral operators
shift invariant operators
convolution type operators
shape preserving operators
probabilistic distribution function
Opis:: In recent papers the authors studied global smoothness preservation by certain univariate and multivariate linear operators over compact domains. Here the domain is ℝ. A very general positive linear integral type operator is introduced through a convolution-like iteration of another general positive linear operator with a scaling type function. For it sufficient conditions are given for shift invariance, preservation of global smoothness, convergence to the unit with rates, shape preserving and preservation of continuous probabilistic functions. Finally, four examples of very general specialized operators are presented fulfilling all the above properties; in particular, the inequalities for global smoothness preservation are proven to be sharp.
Źródło:: Annales Polonici Mathematici; 1995, 61, 3; 225-243
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Decompositions of hypersurface singularities oftype $J_{k,0}$
Autorzy:: Jaworski, Piotr
Powiązania:: https://bibliotekanauki.pl/articles/1311702.pdf
Data publikacji:: 1994
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: hypersurface singularity
j-invariant
underdiagonal deformation
shift transformation
quasihomogeneous transformation
Opis:: Applications of singularity theory give rise to many questions concerning deformations of singularities. Unfortunately, satisfactory answers are known only for simple singularities and partially for unimodal ones. The aim of this paper is to give some insight into decompositions of multi-modal singularities with unimodal leading part. We investigate the $J_{k,0}$ singularities which have modality k - 1 but the quasihomogeneous part of their normal form only depends on one modulus.
Źródło:: Annales Polonici Mathematici; 1994, 59, 2; 117-131
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

Artykuł

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