Preprints, Thomas Branson
Updated August 15, 2005

11.
Differential operators canonically associated to a conformal
structure
17. (with P.B. Gilkey) The
asymptotics of the Laplacian on a manifold with boundary
18. (with P. Gilkey and B. Orsted) Leading
terms in the heat invariants
19. (with P. Gilkey and B. Orsted) Leading
terms in the heat invariants
for the Laplacians of the de Rham, signature, and spin complexes
20. (with G. Olafsson) Equipartition of energy
for waves in symmetric space
21. (with B. Orsted) Conformal geometry and
global invariants
22. (with B. Orsted) Explicit functional
determinants in four dimensions
23. Harmonic analysis in vector bundles
associated to the rotation and spin groups
24. (with P.B. Gilkey) Residues of the eta
function for an operator of
Dirac type
25. (with P. Gilkey, B. Orsted, and A. Pierzchalski)
Heat equation
asymptotics of a generalized Ahlfors Laplacian on a manifold with
boundary
26. (with S.-Y. A. Chang and P. Yang)
Estimates and extremals for zeta
function determinants on four-manifolds
27. (with P.B. Gilkey)
Residues of the eta function for an operator of
Dirac type with local boundary conditions
28. [monograph] "The Functional Determinant"
29. (with P. Gilkey and A. Pierzchalski)
Heat equation asymptotics of
elliptic differential operators with non-scalar leading symbol
30. (with P.B. Gilkey)
The functional determinant of a four-dimensional
boundary value problem
31. (with G. Olafsson and H. Schlichtkrull)
A bundle valued Radon transform,
with applications to invariant wave equations
32. (with P. Gilkey and J. Pohjanpelto)
Invariants of conformally flat manifolds
33. (with G. Olafsson and H. Schlichtkrull)
Huyghens' principle in
Riemannian symmetric spaces
34. (with N. Blazic, N. Bokan, and P. Gilkey)
When the leading terms in
the heat equation asymptotics are coercive
35. Sharp inequalities, the functional
determinant, and the complementary
series
36. (with G. Olafsson and B. Orsted)
Spectrum generating operators, and
intertwining operators for representations induced from a
maximal parabolic subgroup
37. An anomaly associated with 4-dimensional
quantum gravity
38. Nonlinear phenomena in the spectral
theory of geometric linear
differential operators
39. (with P. Gilkey)
The functional determinant in the standard conformal
class on four dimensional balls and spherical shells
40. Spectral theory of invariant operators,
sharp inequalities, and
representation theory
41. (with G. Olafsson) Helmholtz operators
and symmetric space duality
42. (with P. Gilkey and D. Vassilevich) The
asymptotics of the
Laplacian on a manifold with boundary, II
43. (with R. Lano and V. Rodgers) Yang-Mills, gravity, and 2D string
symmetries
44. (with O. Hijazi) Vanishing theorems and
eigenvalue estimates
in Riemannian spin geometry
45. Stein-Weiss operators and ellipticity
46. (with P. Gilkey and D. Vassilevich) Vacuum expectation value
asymptotics for second order differential operators on manifolds
with boundary
47. Second order conformal covariants
48. (with G. Olafsson) Asymptotics of the
d'Alembertian with potential on
a pseudo-Riemannian manifold
49. Spectra of self-gradients on spheres
50. (with P. Gilkey, K. Kirsten, and D. Vassilevich)
Heat kernel asymptotics with mixed boundary conditions
51. Kato constants in Riemannian geometry
52. (with O. Hijazi)
Improved forms of some vanishing theorems in
Riemannian spin geometry
53. (with V.G.J. Rodgers and T. Yasuda) Interactions of a string
inspired graviton field
54. Automated symbolic computation in spin geometry
55. (with I.G. Avramidi)
Heat kernel asymptotics of operators with non-Laplace principal part
56. (with A.R. Gover) Conformally invariant
non-local operators
57. (with C. Bennett)
Curvature actions on Spin(n) bundles
58. (with O. Hijazi)
Bochner-Weitzenb\"ock formulas associated with
the Rarita-Schwinger operator
59. (with I.G. Avramidi)
A discrete leading symbol and spectral asymptotics for natural differential
operators
60. (with A.R. Gover)
A conformally invariant differential operator on Weyl tensor densities
61. (with A.R. Gover)
Electromagnetism, metric deformations, ellipticity
and gauge operators on conformal 4-manifolds
62. (with A.R. Gover)
Conformally invariant operators, differential forms, cohomology and a
generalisation of Q-curvature
63. (with A. Cap, M.G. Eastwood, and A.R. Gover)
Prolongations of geometric overdetermined systems
64. (with G. Olafsson and A. Pasquale)
The Paley-Wiener Theorem and the
Local Huygens' Principle for Compact Symmetric Spaces
65. (with B. Orsted)
Spontaneous generation of eigenvalues
66. (with G. Olafsson and A. Pasquale)
The Paley-Wiener Theorem for the Jacobi Transform and the Local
Huygens' Principle for Root Systems with Even Multiplicities