The luminosity distribution and total space density of pulsars

1976 ◽  
Vol 205 ◽  
pp. L29 ◽  
Author(s):  
D. H. Roberts
Keyword(s):  
2011 ◽  
Vol 204 ◽  
pp. 19-56 ◽  
Author(s):  
Sachiko Hamano ◽  
Fumio Maitani ◽  
Hiroshi Yamaguchi

AbstractA domainD⊂ Czadmits the circular slit mappingP(z) fora, b∈Dsuch thatP(z) – 1/(z–a) is regular ataandP(b) = 0. We callp(z) =log|P(z)|theLi-principal functionandα= log |P′(b)| theL1-constant, and similarly, the radial slit mappingQ(z) implies theL0-principal functionq(z) and theL0-constantβ. We calls=α–βtheharmonic spanfor (D, a, b). We show the geometric meaning ofs. Hamano showed the variation formula for theL1-constantα(t) for the moving domainD(t) in Czwitht∈B:= {t∈ C: |t| <ρ}. We show the corresponding formula for theL0-constantβ(t) forD(t) and combine these to prove that, if the total spaceD =∪t∈B(t, D(t)) is pseudoconvex inB× Cz, thens(t) is subharmonic onB. As a direct application, we have the subharmonicity of log coshd(t) onB, whered(t) is the Poincaré distance betweenaandbonD(t).


2017 ◽  
Vol 473 (3) ◽  
pp. 3241-3250 ◽  
Author(s):  
J. V. Hernández Santisteban ◽  
C. Knigge ◽  
M. L. Pretorius ◽  
M. Sullivan ◽  
B. Warner

2010 ◽  
Author(s):  
Ezequiel Treister ◽  
Meg Urry ◽  
Carolin Cardamone ◽  
Shanil Virani ◽  
Kevin Schawinski ◽  
...  
Keyword(s):  

2006 ◽  
Vol 73 (2) ◽  
Author(s):  
G. Ferrari ◽  
R. E. Drullinger ◽  
N. Poli ◽  
F. Sorrentino ◽  
G. M. Tino

1991 ◽  
Vol 06 (04) ◽  
pp. 577-598 ◽  
Author(s):  
A.G. SAVINKOV ◽  
A.B. RYZHOV

The scattering wave functions and Green’s functions were found in a total space of a Dirac monopole principal bundle. Also, hidden symmetries of a charge-Dirac monopole system and those joining the states relating to different topological charges n=2eg were found.


2009 ◽  
Vol 696 (1) ◽  
pp. 110-120 ◽  
Author(s):  
E. Treister ◽  
C. Megan Urry ◽  
Shanil Virani

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