Pełnotekstowe zasoby PLDML oraz innych baz dziedzinowych są już dostępne w nowej Bibliotece Nauki.
Zapraszamy na https://bibliotekanauki.pl
Preferencje help
Polish version English version Język
Widoczny [Schowaj] Abstrakt
Liczba wyników

Znaleziono wyników: 13

Liczba wyników na stronie
first rewind previous Strona / 1 next fast forward last

Wyniki wyszukiwania

help Sortuj według:

help Ogranicz wyniki do:
first rewind previous Strona / 1 next fast forward last
1
Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik
Content available

A method of holomorphic retractions and pseudoinverse matrices in the theory of continuation of δ-tempered functions

100%
Jarnicki M.
Instytut Matematyczny Polskiej Akademii Nauk
EN
CONTENTS §1. Introduction.................................................................................................................5 §2. Basic properties of δ-tempered holomorphic functions...............................................8 §3. Holomorphic continuation and holomorphic retractions.............................................20 §4. Continuation from regular neighbourhoods...............................................................32 §5. Continuation from δ-regular submanifolds; Main Theorem........................................35 §6. Holomorphic retractions and pseudoinverse matrices; proof of Main Theorem.........39 References.....................................................................................................................49
2
Content available remote

Invariant distances and metrics in complex analysis-revisited

66%
Jarnicki M., Pflug P.
Instytut Matematyczny Polskiej Akademii Nauk
3
Content available remote

An extension theorem for separately holomorphic functions with analytic singularities

60%
Jarnicki M., Pflug P.
Annales Polonici Mathematici
|
2003
|
tom 80
|
nr 1
143-161
EN
Let $D_j ⊂ ℂ^{k_j}$ be a pseudoconvex domain and let $A_j ⊂ D_j$ be a locally pluriregular set, j = 1,...,N. Put $X: = ⋃_{j=1}^N A₁ ×. .. × A_{j-1} × D_j × A_{j+1} ×. .. × A_N ⊂ ℂ^{k₁+...+k_N}$. Let U be an open connected neighborhood of X and let M ⊊ U be an analytic subset. Then there exists an analytic subset M̂ of the "envelope of holomorphy" X̂ of X with M̂ ∩ X ⊂ M such that for every function f separately holomorphic on X∖M there exists an f̂ holomorphic on X̂∖M̂ with $f̂|_{X∖M} = f$. The result generalizes special cases which were studied in [Ökt 1998], [Ökt 1999], [Sic 2001], and [Jar-Pfl 2001].
4
Content available remote

Invariant pseudodistances and pseudometrics - completeness and product property

60%
Jarnicki M., Pflug P.
Annales Polonici Mathematici
|
1991
|
tom 55
|
nr 1
169-189
EN
A survey of properties of invariant pseudodistances and pseudometrics is given with special stress put on completeness and product property.
5
Content available remote

New examples of effective formulas for holomorphically contractible functions

60%
Jarnicki M., Pflug P.
Studia Mathematica
|
1999
|
tom 135
|
nr 3
219-230
EN
Let $G ⊂ ℂ^n$ and $B ⊂ ℂ^m$ be domains and let Φ:G → B be a surjective holomorphic mapping. We characterize some cases in which invariant functions and pseudometrics on G can be effectively expressed in terms of the corresponding functions and pseudometrics on B.
6
Content available remote

A remark on separate holomorphy

60%
Jarnicki M., Pflug P.
Studia Mathematica
|
2006
|
tom 174
|
nr 3
309-317
EN
Let X be a Riemann domain over $ℂ^{k} × ℂ^{ℓ}$. If X is a domain of holomorphy with respect to a family ℱ ⊂𝓞(X), then there exists a pluripolar set $P ⊂ ℂ^{k}$ such that every slice $X_{a}$ of X with a∉ P is a region of holomorphy with respect to the family ${f|_{X_{a}}: f ∈ ℱ}$.
7
Content available remote

On balanced L²-domains of holomorphy

60%
Jarnicki M., Pflug P.
Annales Polonici Mathematici
|
1996
|
tom 63
|
nr 1
101-102
EN
We show that any bounded balanced domain of holomorphy is an $L²_h$-domain of holomorphy.
8
Content available remote

Cross theorem

60%
Jarnicki M., Pflug P.
Annales Polonici Mathematici
|
2001
|
tom 77
|
nr 3
295-302
EN
Let D,G ⊂ ℂ be domains, let A ⊂ D, B ⊂ G be locally regular sets, and let X:= (D×B)∪(A×G). Assume that A is a Borel set. Let M be a proper analytic subset of an open neighborhood of X. Then there exists a pure 1-dimensional analytic subset M̂ of the envelope of holomorphy X̂ of X such that any function separately holomorphic on X∖M extends to a holomorphic function on X̂ ∖M̂. The result generalizes special cases which were studied in [Ökt 1998], [Ökt 1999], and [Sic 2000].
9
Content available remote

On n-circled $ℋ^{∞}$-domains of holomorphy

60%
Jarnicki M., Pflug P.
Annales Polonici Mathematici
|
1996-1997
|
tom 65
|
nr 3
253-264
EN
We present various characterizations of n-circled domains of holomorphy $G ⊂ ℂ^n$ with respect to some subspaces of $ℋ^∞(G)$.
10
Content available remote

A remark on the identity principle for analytic sets

60%
Jarnicki M., Pflug P.
Colloquium Mathematicum
|
2011
|
tom 123
|
nr 1
21-26
EN
We present a version of the identity principle for analytic sets, which shows that the extension theorem for separately holomorphic functions with analytic singularities follows from the case of pluripolar singularities.
11
Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik
Content available

Multiplicative linear functionals on some algebras of holomorphic functions with restricted growth

60%
Jarnicki M.
Annales Polonici Mathematici
|
1984
|
tom 44
|
nr 3
353-361
12
Content available remote

On extremal holomorphically contractible families

49%
Jarnicki M., Jarnicki W., Pflug P.
Annales Polonici Mathematici
|
2003
|
tom 81
|
nr 2
183-199
EN
We prove (Theorem 1.2) that the category of generalized holomorphically contractible families (Definition 1.1) has maximal and minimal objects. Moreover, we present basic properties of these extremal families.
13
Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik
Content available

A note on holomorphic mappings with two fixed points

42%
Jarnicki M., Tworzewski P.
Annales Polonici Mathematici
|
1990
|
tom 51
|
nr 1
179-182
first rewind previous Strona / 1 next fast forward last
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.