CORRECTION TO REFERENCE LIST:

Reference [10] should read:
Chen G and Zhou J 1993  Vibration and Damping in Distributed 
Systems, Vol. I (Boca Raton: CRC Press)


PUBLICATION DATA:

S. A. Fulling, Systematics of the relationship between vacuum 
energy calculations and heat-kernel coefficients, J. Phys. A 36 
(2003), 6857-6873. 


NOTE ADDED IN PROOF:

What we have called "cylinder kernel" is named "Poisson kernel"
in the mathematical literature.  Also, the kernel of the operator
(4.8) equals the restriction to positive t of the Green function
used by C. M. Bender and P. Hays (1976 Phys. Rev. D 14, 2622--32)
and hence the regularization (4.2) is equivalent to the
prescription of Bender and Hays.