* (See also the links under "Professional Interests".)*

S. A. Fulling, Nonuniqueness of canonical field quantization in
Riemannian space-time, *Phys. Rev. D* 7, 2850-2862 (1973).

L. Parker and S. A. Fulling, Adiabatic regularization of the
energy-momentum tensor of a quantized field in homogeneous spaces,
*Phys. Rev. D* 9, 341-354 (1974).

S. A. Fulling and P. C. W. Davies,
Radiation from a moving mirror in two dimensional space-time:
Conformal anomaly,
*Proc. Roy. Soc. London A* **348**, 393-414 (1976).

S. M. Christensen and S. A. Fulling, Trace anomalies and
the Hawking effect, *Phys. Rev. D* 15, 2088-2104 (1977).

S. A. Fulling, F. J. Narcowich, and R. M. Wald,
Singularity structure of the two-point function in quantum field
theory in curved space-time. II, *Ann. Phys. (NY)* 136,
243-272 (1981).

S. A. Fulling, The local geometric asymptotics of continuum
eigenfunction expansions. I, II, *SIAM J. Math. Anal.* 13,
891-912 (1982); *ibid.* 14, 780-795 (1983).

S. A. Fulling and S. N. M. Ruijsenaars, Temperature,
periodicity, and horizons, *Phys. Reports * 152, 135-176
(1987).

S. A. Fulling and G. Kennedy, The resolvent parametrix
of the general elliptic linear differential operator:
A closed form for the intrinsic symbol,
* Transac. Am. Math. Soc.* 310,
583-617 (1988).

S. A. Fulling, *Aspects of Quantum Field Theory in
Curved Space-Time*, Cambridge University Press, 1989.
Corrections available.

S. A. Fulling, The analytic approach to recursion relations,
*J. Symbolic Comput.* 9, 73-85 (1990).

F. H. Molzahn, T. A. Osborn, and S. A. Fulling,
Gauge invariant asymptotic expansion of Schrodinger propagators
on manifolds, *Ann. Phys. (NY)* 204, 64-112 (1990);
Multi-scale semiclassical approximations for
Schrodinger propagators on manifolds,
*ibid.* 214, 102-141 (1992).

G. Chen, S. A. Fulling, F. J. Narcowich, and S. Sun,
Exponential decay of energy of evolution equations with locally
distributed damping, *SIAM J. Appl. Math.* 51, 266-301
(1991).

P. B. Gilkey, T. P. Branson, and S. A. Fulling, Heat equation
asymptotics for `nonminimal' operators on differential forms,
*J. Math. Phys.* 32, 2089-2091 (1991).

S.A. Fulling, C. J. Cummins, R. C. King, and B. G. Wybourne,
Normal forms for tensor polynomials. I,
*Class. Quantum Grav.* 9, 1151-1198 (1992).

S. A. Fulling, Kernel asymptotics of exotic second-order
operators, *Proceedings of the Third International Colloquium on
Differential Equations*,
ed. by D. Bainov and V. Covachev,
VSP International Science Publishers, 1993, pp. 63-76.
Preprint (director's cut) available.

G. Chen, S. A. Fulling, and J. Zhou,
Asymptotic equipartition of energy by nodal points of an eigenfunction,
* J. Math. Phys* 38, 5350-5360 (1997).
Abstract available.

S. A. Fulling, I. Borosh, and A. da Conturbia,
Cataloguing general graphs by point and line spectra,
* Computer Phys. Commun.* 115, 93-112 (1998).
Preprint available on related
Web page.

S. A. Fulling (with appendix by R. A. Gustafson),
Some properties of Riesz means and spectral expansions,
* Electron. J. Diff. Eqs.*
**1999** No. 6, 1-39 (1999)

R. Estrada and S. A. Fulling,
Distributional asymptotic expansions of spectral functions
and of the associated Green kernels,
* Electron. J. Diff. Eqs.*
**1999** No. 7, 1-37 (1999)

S. A. Fulling, E. V. Gorbar, and C. T. Romero,
Spectral Riesz-Cesaro means:
How the square root function helps us to see around the world,
*Mathematical Physics and Quantum Field Theory*,
* Electron. J. Diff. Eqs.*, **Conf. 04** (2000)
(proceedings of the Eyvind H. Wichmann Symposium, Berkeley, 1999),
pp. 87-101.

S. A. Fulling,
TeX and the Web in the higher education of the future:
Dreams and difficulties,
*TUGboat* **20**, 162-166 (1999).

S. A. Fulling, Related rates collide with vectors,
*College Math. J.* **31**, 116-119 (2000).
Preprint of earlier version available
(DVI landscape)
(PDF portrait).

S. A. Fulling (with
M. N. Sinyakov and S. V. Tishchenko),
*Linearity and the Mathematics of Several Variables*,
World Scientific Publishing Co., Singapore, 2000.

S. A. Fulling,
Spectral oscillations, periodic orbits, and
scaling, *J. Phys. A* **35**, 4049-4066 (2002).
Preprint available.

S. A. Fulling and K. S. Güntürk,
Exploring the propagator of a particle in a box,
*Am. J. Phys.* **71**, 55-63 (2003).
Preprint available

S. A. Fulling, B.-G. Englert, and M. D. Pilloff,
Interacting bosons at finite
temperature: How Bogolubov visited a black hole and
came home again,
*Foundations of Physics* **33**, 87-110 (2003)
(special issue in honor of Jacob Bekenstein).
Preprint available at ArXiv

S. A. Fulling,
Systematics of the relationship between vacuum energy calculations and heat kernel
coefficients,
*J. Phys. A* **36**, 6857--6873 (2003).
Preprint available at
ArXiv ._.
Addenda

S. A. Fulling, Large numbers, the Chinese remainder theorem, and the circle of fifths. Preprint available

S. A. Fulling,
Global and local vacuum energy and closed orbit theory,
in *Proceedings of the 6th Workshop on Quantum Field Theory
under the Influence of External Conditions* (Norman, OK, Sept.
2003), ed. by K. Milton, Rinton Press, 2004, pp. 166-174.
Preprint available (including some minor
corrections to the published version)

S. A. Fulling and W. G. Unruh,
Comment on "Boundary conditions in the Unruh problem",
*Physical Review D* **70**, 048701 (2004).
Preprint available

S. A. Fulling, How to do
without the inverse secant (and even
the secant itself), *College Math. J.*

S. A. Fulling, Mass dependence of vacuum energy,
*Phys. Lett. B* **624**, 281-286 (2005).
Preprint
available at ArXiv

J. D. Bondurant and S. A. Fulling,
The Dirichlet-to-Robin transform,
*J. Phys. A* **38**, 1505-1532 (2005).
Preprint available at ArXiv

S. A. Fulling, Local spectral density and vacuum energy
near a quantum graph vertex,
*Quantum Graphs and Their Applications*, ed. by G. Berkolaiko, R.
Carlson, S. A. Fulling, and P. Kuchment, Contemp. Math. **415**,
161-172 (2006) (proceedings of
the AMS-IMS-SIAM Joint Summer Research Conference, Snowbird, Utah, 2005).
Preprint
available at ArXiv

Z. H. Liu and S A. Fulling,
Casimir
energy with a Robin
boundary:
The multiple-reflection cylinder-kernel expansion,
New J. Phys. **8**, 234
(2006) (focus issue on Casimir forces).

R. Estrada and S. A. Fulling,
Functions and distributions in spaces with thick points,
*Internat. J. Appl. Math. Stat.* **10 (S07)** (2007)
25-37
(special issue for the tricentennial of Leonard Euler).
Preprint

S. A. Fulling, L. Kaplan, and J. H. Wilson,
Vacuum energy and repulsive Casimir forces in quantum star
graphs,
*Phys Rev. A* **76** (2007) 012118.
Preprint
available at ArXiv

S. A. Fulling, P. Kuchment, and J. H. Wilson,
Index theorems for quantum graphs,
* J. Phys. A* **40** (2007) 14165--14180.
Preprint
available at ArXiv

S. A. Fulling, L. Kaplan, K. Kirsten, Z. H. Liu, and K. A.
Milton, Vacuum stress and closed paths in rectangles, pistons,
and pistols,
* J. Phys. A* **42** (2009) 155402.
Preprint available at ArXiv

C. S. Trendafilova and S. A. Fulling,
Static solutions of
Einstein's equations with cylindrical symmetry,
*Eur. J. Phys.*
**32**
(2011)
1663-1677.
Preprint available at ArXiv

S. A. Fulling, C. S. Trendafilova, P. N. Truong, and J.
Wagner,
Wedges, cones, cosmic strings and their vacuum
energy,
*J. Phys. A* **45** (2012) 374018
(special issue in honor of J. Stuart Dowker).
Preprint
(director's cut) available at ArXiv

R. Estrada, S. A. Fulling, and F. D. Mera,
Surface vacuum energy in cutoff models: Pressure anomaly and
distributional gravitational limit,
* J. Phys. A* **48** (2012) 455402.
Preprint available at ArXiv

S. A. Fulling, F. D. Mera, and C. S. Trendafilova,
Torque anomaly in quantum field theory,
*Phys. Rev. D* **87** (2013) 047702.
Preprint available at ArXiv

F. D. Mera and S. A. Fulling,
Convergence of the Neumann series for the Schrodinger equation
and general Volterra equations in Banach spaces,
in *Advances in Quantum Mechanics*, edited by P. Bracken
(InTech, Rijeka (Croatia), 2013), pp. 247-268.

S. A. Fulling, J. D. Bouas, and H. B. Carter,
The gravitational field of an infinite
flat slab, *Phys. Scripta* **90** (2015) 088006.

* (Many recent papers appear on the "Professional
Interests" pages, not here.)*

*Last updated Mon 13 Dec 2021 *