scholarly journals The range of vector-valued analytic functions, II

1976 ◽  
Vol 14 (1-2) ◽  
pp. 297-298 ◽  
Author(s):  
J. Globevnik
Keyword(s):  
Analytic Functions ◽  
Vector Valued

scholarly journals Weighted composition operators between weak spaces of vector-valued analytic functions

Analysis ◽  
2017 ◽  
Vol 37 (1) ◽  
Author(s):  
Mostafa Hassanlou ◽  
Jussi Laitila ◽  
Hamid Vaezi
Keyword(s):  
Analytic Functions ◽  
Composition Operators ◽  
Weighted Composition Operators ◽  
Weighted Composition ◽  
Vector Valued

AbstractWe consider weighted composition operators

Interpolation of Vector-Valued Real Analytic Functions

2002 ◽  
Vol 66 (2) ◽  
pp. 407-420 ◽  
Author(s):  
José Bonet ◽  
Paweł Domański ◽  
Dietmar Vogt
Keyword(s):  
Analytic Functions ◽  
Real Analytic Functions ◽  
Real Analytic ◽  
Vector Valued

scholarly journals On the Fourier coefficients of meromorphic Jacobi forms

2014 ◽  
Vol 10 (06) ◽  
pp. 1519-1540 ◽  
Author(s):  
René Olivetto
Keyword(s):  
Analytic Functions ◽  
Fourier Coefficients ◽  
Jacobi Form ◽  
Jacobi Forms ◽  
Precise Description ◽  
Maass Forms ◽  
Real Analytic Functions ◽  
Harmonic Maass Forms ◽  
Real Analytic ◽  
Vector Valued

In this paper, we describe the automorphic properties of the Fourier coefficients of meromorphic Jacobi forms. Extending results of Dabholkar, Murthy, and Zagier, and Bringmann and Folsom, we prove that the canonical Fourier coefficients of a meromorphic Jacobi form φ(z; τ) are the holomorphic parts of some (vector-valued) almost harmonic Maass forms. We also give a precise description of their completions, which turn out to be uniquely determined by the Laurent coefficients of φ at each pole, as well as some well-known real analytic functions, that appear for instance in the completion of Appell–Lerch sums.

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