Representation of analytic functionals by vector measures

P. AVILÉS-J. MUJICA, Holomorphic germs and homogeneous polynomials on quasi-normable metrizable spaces, Rend. Mat., to appear.
Google Scholar
A. BAERNSTEIN II, Representation of holomorphic functions by boundary integrals, Trans. Amer. Math. Soc. 160(1971), 27–37.
Article MathSciNet MATH Google Scholar
K.-D. BIERSTEDT-R. MEISE, Bemerkungen uber die Approximation-seigenschaft lokalkonvexer Funktionenraume, Math.Ann. 209(1974), 99–107.
Article MathSciNet MATH Google Scholar
K.-D. BIERSTEDT-R. MEISE, Induktive Limites gewichteter Raume stetiger und holomorpher Funktionen, J. reine angew.Math. 282(1976), 186–220.
MathSciNet MATH Google Scholar
K.-D. BIERSTEDT-R. MEISE, Nuclearity and the Schwartz Property in the theory of holomorphic functions on metrizable locally convex spaces, Infinite dimensional holomorphy and applications, Notas de Matemática, North-Holland, Amsterdam, to appear.
Google Scholar
S. B. CHAE, Holomorphic germs on Banach spaces, Ann. Inst. Fourier (Grenoble) 21(1971), 107–141.
Article MathSciNet MATH Google Scholar
K. FLORET-J. WLOKA, Einfuhrung in die Theorie der lokalkonvexen Raume, Lecture Notes in Math. 56, Springer-Verlag, Berlin, 1968.
Book MATH Google Scholar
A. GROTHENDIECK, Sur les espaces (F) et (DF), Summa Brasiliensis, Math. 3(1954), 67–123.
MathSciNet MATH Google Scholar
J. MUJICA, Spaces of germs of holomorphic functions, Doctoral Thesis, University of Rochester, 1974, to appear in Advances in Math.
Google Scholar
L. NACHBIN, Topology on spaces of holomorphic mappings, Ergebnisse der Mathematik und ihrer Grenzgebiete 47, Springer-Verlag, Berlin, 1969.
Book MATH Google Scholar
J. B. PROLLA, Approximation of vector-valued functions, Notas de Matemática, North-Holland, Amsterdam, to appear.
Google Scholar
H. H. SCHAEFER, Topological vector spaces, Graduate Texts in Mathematics 3, Springer-Verlag, Berlin, 1971.
Book Google Scholar
L. SCHWARTZ, Théorie des distributions à valeurs vectorielles. I, Ann. Inst. Fourier (Grenoble) 7(1957), 1–142.
Article MATH Google Scholar
I. SINGER, Sur les applications linéaires intégrales des espaces de fonctions continues. I, Rev. Math. Pures Appl. 4(1959), 391–401.
Google Scholar
R. L. SORAGGI, Partes limitadas nos espaços de germes de applica — ções holomorfas, Doctoral Thesis, Universidade Federal do Rio de Janeiro, 1976.
Google Scholar

Download references

Author information

Authors and Affiliations

Instituto de Matemática, Universidade Estadual de Campinas, Caixa Postal 1170, 13.100, Campinas - SP, Brasil
Jorge Mujica

Authors

Jorge Mujica
View author publications
You can also search for this author in PubMed Google Scholar

Editor information

Richard M. Aron Seán Dineen

Rights and permissions

Reprints and permissions

Copyright information

About this paper

Cite this paper

Mujica, J. (1978). Representation of analytic functionals by vector measures. In: Aron, R.M., Dineen, S. (eds) Vector Space Measures and Applications II. Lecture Notes in Mathematics, vol 645. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069672

Download citation

DOI: https://doi.org/10.1007/BFb0069672
Published: 28 August 2006
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-08669-7
Online ISBN: 978-3-540-35903-6
eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Representation of analytic functionals by vector measures

Access this chapter

Preview

References