Geodesic
Integral holomorphic functions
Verónica Dimant1 ; Pablo Galindo2 ; Manuel Maestre2 ; Ignacio Zalduendo3
1 Departamento de Matemática Universidad de San Andrés CC35-1644 Victoria Buenos Aires, Argentina
2 Departamento de Análisis Matemático Universidad de Valencia 46100 Burjasot Valencia, Spain
3 Departamento de Matemática Universidad Torcuato Di Tella Miñones 2177 (C1428ATG) Buenos Aires, Argentina
Studia Mathematica, Tome 160 (2004) no. 1, pp. 83-99

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We define the class of integral holomorphic functions over Banach spaces; these are functions admitting an integral representation akin to the Cauchy integral formula, and are related to integral polynomials. After studying various properties of these functions, Banach and Fréchet spaces of integral holomorphic functions are defined, and several aspects investigated: duality, Taylor series approximation, biduality and reflexivity.
DOI : 10.4064/sm160-1-4
Keywords: define class integral holomorphic functions banach spaces these functions admitting integral representation akin cauchy integral formula related integral polynomials after studying various properties these functions banach chet spaces integral holomorphic functions defined several aspects investigated duality taylor series approximation biduality reflexivity

Verónica Dimant 1 ; Pablo Galindo 2 ; Manuel Maestre 2 ; Ignacio Zalduendo 3

1 Departamento de Matemática Universidad de San Andrés CC35-1644 Victoria Buenos Aires, Argentina
2 Departamento de Análisis Matemático Universidad de Valencia 46100 Burjasot Valencia, Spain
3 Departamento de Matemática Universidad Torcuato Di Tella Miñones 2177 (C1428ATG) Buenos Aires, Argentina 
@article{10_4064_sm160_1_4,
     author = {Ver\'onica Dimant and Pablo Galindo and Manuel Maestre and Ignacio Zalduendo},
     title = {Integral holomorphic functions},
     journal = {Studia Mathematica},
     pages = {83--99},
     publisher = {mathdoc},
     volume = {160},
     number = {1},
     year = {2004},
     doi = {10.4064/sm160-1-4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm160-1-4/}
}
TY  - JOUR
AU  - Verónica Dimant
AU  - Pablo Galindo
AU  - Manuel Maestre
AU  - Ignacio Zalduendo
TI  - Integral holomorphic functions
JO  - Studia Mathematica
PY  - 2004
SP  - 83
EP  - 99
VL  - 160
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm160-1-4/
DO  - 10.4064/sm160-1-4
LA  - en
ID  - 10_4064_sm160_1_4
ER  - 
%0 Journal Article
%A Verónica Dimant
%A Pablo Galindo
%A Manuel Maestre
%A Ignacio Zalduendo
%T Integral holomorphic functions
%J Studia Mathematica
%D 2004
%P 83-99
%V 160
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/sm160-1-4/
%R 10.4064/sm160-1-4
%G en
%F 10_4064_sm160_1_4
Verónica Dimant; Pablo Galindo; Manuel Maestre; Ignacio Zalduendo. Integral holomorphic functions. Studia Mathematica, Tome 160 (2004) no. 1, pp. 83-99. doi: 10.4064/sm160-1-4

Cité par Sources :