Skip to content

Go to Sitemap

Download PDF - Omnipresent holomorphic operators and maximal cluster sets All rights reserved. Copyright exceptions and limitations apply

ArticleOriginal scientific text

Title

Omnipresent holomorphic operators and maximal cluster sets

Authors ¹

Affiliations

Departamento de Análisis Matemático, Facultad de Matemáticas, Avenida Reina Mercedes, Apartado 1160, 41080 Sevilla, Spain

Keywords

holomorphic operators, maximal cluster sets, boundary behavior, residual sets, derivatives and antiderivatives

E. F. Collingwood and A. J. Lohwater, The Theory of Cluster Sets, Cambridge University Press, 1966.
J. Horváth, Topological Vector Spaces and Distributions, Vol. I, Addison-Wesley, Reading, Mass., 1966.
S. Kierst et E. Szpilrajn, Sur certaines singularités des fonctions analytiques uniformes, Fund. Math. 21 (1933), 276-294.
S. Kierst et E. Szpilrajn, Sur certaines singularités des fonctions analytiques uniformes, C. R. Acad. Sci. Paris 196 (1933), 1453-1455.
K. Noshiro, Cluster Sets, Springer, Berlin 1960.
J. C. Oxtoby, Measure and Category, 2nd ed., Springer, New York 1980.
W. Rudin, Real and Complex Analysis, 2nd ed., Tata McGraw-Hill, Faridabad, India, 1974.
S. Saks and A. Zygmund, Analytic Functions, 3rd ed., PWN and Elsevier, Warszawa-Amsterdam 1971.