71
Views
0
CrossRef citations to date
0
Altmetric
Research Article

Spectrum of banach valued holomorphic functions and polar sets

&
Pages 7650-7655 | Received 04 May 2021, Accepted 02 Nov 2021, Published online: 16 Nov 2021

References

  • Gohberg I, Leiter J. Holomorphic operator functions of one variable and applications. Boston: Birkhauser; 2009.
  • Sadullaev AS. On analytic multifunctions. Math Notes. 2008;5:715–721. (in English).
  • Aupetit B. A primer on spectral theory. New York: Springer; 1991.
  • Aupetit B, Zemánek J. On zeros of analytic multivalued functions. Acta Sci Math. 1983;46:311–316.
  • Ransford TJ. Open mapping, inversion and implicit function theorems for analytic multivalued functions. Proc London Math Soc. 1984;3(49):537–562.
  • Slodkowski Z. Analytic set-valued functions and spectra. Math Ann. 1981;256:363–386.
  • White MC. The representation of analytic multivalued functions by compact operator. Math Proc Cam Phil Soc. 1991;10:161–167.
  • Stessin M, Yang R, Zhu K. Analyticity of a joint spectrum and a multivariable analytic fredholm theorem. New York J Math. 2011;17a:39–44.
  • Bonsall F, Ducan J. Complete normed algebras. Berlin: Springer-Verlag; 1973.
  • Levenberg N, Slodkowski Z. Pseudoconcave pluripolar sets in C2. Math Ann. 1998;312:429–443.
  • Klimek M. Pluripotential theory. New York: Clarendon press; 1991.
  • Ransford TJ. Potential theory in the complex plane. New York: Cambridge University Press; 1995. (London Mathematical Society).
  • Josefson B. On the equivalence between locally polar and globally polar sets for plurisubharmonic functions on Cn. Arkiv För Matematik. 1978;16:109–115.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.