Hilbert spaces of holomorphic functions on bounded domains

1970 ◽  
Vol 3 (3) ◽  
pp. 305-314 ◽  
Author(s):  
Gerd Fischer
Keyword(s):  
Hilbert Spaces ◽  
Holomorphic Functions ◽  
Bounded Domains ◽  
Spaces Of Holomorphic Functions

Isometries of weighted spaces of holomorphic functions on unbounded domains

2009 ◽  
Vol 139 (2) ◽  
pp. 253-271 ◽  
Author(s):  
Christopher Boyd ◽  
Pilar Rueda
Keyword(s):  
Half Plane ◽  
Complex Plane ◽  
Unbounded Domains ◽  
Holomorphic Functions ◽  
Weighted Spaces ◽  
Bounded Domains ◽  
Spaces Of Holomorphic Functions ◽  
The Right

We study isometries between weighted spaces of holomorphic functions on unbounded domains in ℂn. We show that weighted spaces of holomorphic functions on unbounded domains may exhibit behaviour different from that observed on bounded domains. We calculate the isometries for specific weights on the complex plane and the right half-plane.

scholarly journals From the reachable space of the heat equation to Hilbert spaces of holomorphic functions

2020 ◽  
Vol 22 (10) ◽  
pp. 3417-3440 ◽  
Author(s):  
Andreas Hartmann ◽  
Karim Kellay ◽  
Marius Tucsnak
Keyword(s):  
Heat Equation ◽  
Hilbert Spaces ◽  
Holomorphic Functions ◽  
Spaces Of Holomorphic Functions
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