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[1] 1 473 656 Branson, Thomas; Ólafsson, Gestur Asymptotics of the d'Alembertian with potential on a pseudo-Riemannian manifold. Proc. Amer. Math. Soc., to appear. 58Gxx (35A08 35C20)

[2] 1 482 970 Branson, Thomas; Hijazi, Oussama Vanishing theorems and eigenvalue estimates in Riemannian spin geometry. Internat. J. Math. 8 (1997), no. 7, 921--934. 58Gxx

[3] 1 469 020 Branson, Thomas Spectral theory of invariant operators, sharp inequalities, and representation theory. The Proceedings of the 16th Winter School "Geometry and Physics" (Srní, 1996). Rend. Circ. Mat. Palermo (2) Suppl. No. 46 (1997), 29--54. 58Gxx (22Exx)

[4] 1 464 866 Branson, Thomas; Ólafsson, Gestur Helmholtz operators and symmetric space duality. Invent. Math. 129 (1997), no. 1, 63--74. 58Gxx

[5] 1 456 250 Branson, Thomas P.; Gilkey, Peter B.; Vassilevich, Dmitri V. The asymptotics of the Laplacian on a manifold with boundary. II. Boll. Un. Mat. Ital. B (7) 11 (1997), no. 2, suppl., 39--67. 58Gxx (35Pxx)

[6] 1 422 849 Branson, Thomas Second order conformal covariants. Proc. Amer. Math. Soc., to appear. 53Axx

[7] 97j:58156 Branson, Thomas Nonlinear phenomena in the spectral theory of geometric linear differential operators. Quantization, nonlinear partial differential equations, and operator algebra (Cambridge, MA, 1994), 27--65, Proc. Sympos. Pure Math., 59, Amer. Math. Soc., Providence, RI, 1996. (Reviewer: Steven Rosenberg) 58G26 (11M35 47F05)

[8] 97g:22009 Branson, Thomas; Ólafsson, Gestur; Ørsted, Bent Spectrum generating operators and intertwining operators for representations induced from a maximal parabolic subgroup. J. Funct. Anal. 135 (1996), no. 1, 163--205. (Reviewer: Kenneth Johnson) 22E46 (22E47)

[9] 97f:58128 Branson, T.; Ólafsson, G.; Schlichtkrull, H. Huygens' principle in Riemannian symmetric spaces. Math. Ann. 301 (1995), no. 3, 445--462. 58G16 (43A90 53C35)

[10] 97b:58146 Branson, Thomas An anomaly associated with $4$-dimensional quantum gravity. Comm. Math. Phys. 178 (1996), no. 2, 301--309. (Reviewer: Giampiero Esposito) 58G26 (58G11 81T50 83C45)

[11] 96m:00020 Quantization, nonlinear partial differential equations, and operator algebra. Proceedings of the 1994 John von Neumann Symposium on Quantization and Nonlinear Wave Equations held at the Massachusetts Institute of Technology, Cambridge, Massachusetts, June 7--11, 1994. Edited by William Arveson, Thomas Branson and Irving Segal. Proceedings of Symposia in Pure Mathematics, 59. American Mathematical Society, Providence, RI, 1996. x+224 pp. ISBN: 0-8218-0381-6 00B25 (35-06 46-06 81-06)

[12] 96j:58160 Bla\v zi\'c, Navica; Bokan, Neda; Branson, Thomas; Gilkey, Peter When the leading terms in the heat equation asymptotics are coercive. Houston J. Math. 21 (1995), no. 1, 75--82. 58G11 (58G18)

[13] 96g:58203 Branson, Thomas P. The functional determinant. Lecture Notes Series, 4. Seoul National University, Research Institute of Mathematics, Global Analysis Research Center, Seoul, 1993. vi+103 pp. (Reviewer: Steven Rosenberg) 58G26 (11M36 20G05 47B38 58E11)

[14] 96e:58162 Branson, Thomas P. Sharp inequalities, the functional determinant, and the complementary series. Trans. Amer. Math. Soc. 347 (1995), no. 10, 3671--3742. (Reviewer: Friedbert Prüfer) 58G26 (22E46 53A30)

[15] 95k:22020 Branson, Thomas P.; Ólafsson, Gestur; Schlichtkrull, Henrik A bundle valued Radon transform, with applications to invariant wave equations. Quart. J. Math. Oxford Ser. (2) 45 (1994), no. 180, 429--461. (Reviewer: Hubert Pesce) 22E46 (43A85 44A12 58G16)

[16] 95j:53069 Branson, Thomas; Gilkey, Peter; Pohjanpelto, Juha Invariants of locally conformally flat manifolds. Trans. Amer. Math. Soc. 347 (1995), no. 3, 939--953. (Reviewer: Friedbert Prüfer) 53C25 (53A30 57R15 58G26)

[17] 95d:58134 Branson, Thomas P.; Gilkey, Peter B.; Pierzchalski, Antoni Heat equation asymptotics of elliptic operators with nonscalar leading symbol. Math. Nachr. 166 (1994), 207--215. (Reviewer: Ivan G. Avramidi) 58G18 (58G11 58G25)

[18] 94m:58221 Branson, Thomas P.; Gilkey, Peter B. Residues of the eta function for an operator of Dirac type with local boundary conditions. Differential Geom. Appl. 2 (1992), no. 3, 249--267. 58G25 (58G18 58G20)

[19] 94k:58155 Branson, Thomas P.; Gilkey, Peter B. The functional determinant of a four-dimensional boundary value problem. Trans. Amer. Math. Soc. 344 (1994), no. 2, 479--531. (Reviewer: Paul C. Yang) 58G26 (58G20)

[20] 94k:58154 Branson, Thomas P.; Ørsted, Bent Conformal geometry and global invariants. Differential Geom. Appl. 1 (1991), no. 3, 279--308. (Reviewer: Jack Quine) 58G26 (32F15 58G11 58G25)

[21] 94i:58192 Branson, Thomas P.; Gilkey, Peter B.; Ørsted, Bent; Pierzchalski, Antoni Heat equation asymptotics of a generalized Ahlfors Laplacian on a manifold with boundary. Operator calculus and spectral theory (Lambrecht, 1991), 1--13, Oper. Theory Adv. Appl., 57, Birkhäuser, Basel, 1992. (Reviewer: Friedbert Prüfer) 58G11

[22] 93m:58116 Branson, Thomas P.; Chang, Sun-Yung A.; Yang, Paul C. Estimates and extremals for zeta function determinants on four-manifolds. Comm. Math. Phys. 149 (1992), no. 2, 241--262. (Reviewer: Steven Rosenberg) 58G26

[23] 93h:58157 Branson, Thomas P. Harmonic analysis in vector bundles associated to the rotation and spin groups. J. Funct. Anal. 106 (1992), no. 2, 314--328. (Reviewer: Johan Tysk) 58G25

[24] 93f:58234 Branson, Thomas P.; Gilkey, Peter B. Residues of the eta function for an operator of Dirac type. J. Funct. Anal. 108 (1992), no. 1, 47--87. (Reviewer: Friedbert Prüfer) 58G25 (58G11 58G26)

[25] 93d:58165 Branson, Thomas P.; Ólafsson, Gestur Equipartition of energy for waves in symmetric space. J. Funct. Anal. 97 (1991), no. 2, 403--416. 58G16 (53C35)

[26] 93d:58156 Gilkey, Peter B.; Branson, Thomas P.; Fulling, Stephen A. Heat equation asymptotics of "nonminimal" operators on differential forms. J. Math. Phys. 32 (1991), no. 8, 2089--2091. 58G11

[27] 92b:58238 Branson, Thomas P.; Ørsted, Bent Explicit functional determinants in four dimensions. Proc. Amer. Math. Soc. 113 (1991), no. 3, 669--682. (Reviewer: Philippe Delanoë) 58G26 (47F05 58E11 58G11)

[28] 91k:58124 Branson, Thomas P.; Gilkey, Peter B.; Ørsted, Bent Leading terms in the heat invariants for the Laplacians of the de Rham, signature, and spin complexes. Math. Scand. 66 (1990), no. 2, 307--319. (Reviewer: Robert Brooks) 58G11

[29] 90m:58201 Branson, Thomas P.; Gilkey, Peter B. The asymptotics of the Laplacian on a manifold with boundary. Comm. Partial Differential Equations 15 (1990), no. 2, 245--272. (Reviewer: Steven Rosenberg) 58G11 (35P20)

[30] 90k:58249 Branson, Thomas P. Conformal transformation, conformal change, and conformal covariants. Proceedings of the Winter School on Geometry and Physics (Srní, 1988). Rend. Circ. Mat. Palermo (2) Suppl. No. 21 (1989), 115--134. (Reviewer: H. D. Fegan) 58G35 (53A30 53C20 58G30)

[31] 90k:58227 Branson, Thomas P.; Gilkey, Peter B.; Ørsted, Bent Leading terms in the heat invariants. Proc. Amer. Math. Soc. 109 (1990), no. 2, 437--450. (Reviewer: John Roe) 58G25 (58G11)

[32] 90c:58180 Branson, Thomas P.; Ørsted, Bent Generalized gradients and asymptotics of the functional trace. Deformations of mathematical structures (\Lód\'z/Lublin, 1985/87), 247--262, Kluwer Acad. Publ., Dordrecht, 1989. (Reviewer: R. Schimming) 58G25

[33] 90b:22016 Branson, Thomas P. Group representations arising from Lorentz conformal geometry. J. Funct. Anal. 74 (1987), no. 2, 199--291. 22E45 (53A30 58G30 58G35 81D25)

[34] 89g:58214 Branson, Thomas P.; Ørsted, Bent Conformal deformation and the heat operator. Indiana Univ. Math. J. 37 (1988), no. 1, 83--110. (Reviewer: R. Schimming) 58G30 (35K05 35S05 58G11 58G25)

[35] 88b:58131 Branson, Thomas P.; Ørsted, Bent Conformal indices of Riemannian manifolds. Compositio Math. 60 (1986), no. 3, 261--293. (Reviewer: Ruishi Kuwabara) 58G11 (58G10 58G15)

[36] 88a:58212 Branson, Thomas P. Differential operators canonically associated to a conformal structure. Math. Scand. 57 (1985), no. 2, 293--345. (Reviewer: Dennis M. DeTurck) 58G35 (53A30 53C20 58G30)

[37] 87a:22026 Branson, Thomas P. Intertwining differential operators for spinor-form representations of the conformal group. Adv. in Math. 54 (1984), no. 1, 1--21. (Reviewer: A. O. Barut) 22E45 (58G35 81C40 81D25)

[38] 86d:35126 Branson, Thomas P. Eventual partition of conserved quantities for Maxwell's equations. Arch. Rational Mech. Anal. 86 (1984), no. 4, 383--394. (Reviewer: Rainer Picard) 35Q20 (78A25)

[39] 85h:35182 Branson, Thomas P. Conserved quantity partition for Dirac's equation. Quart. Appl. Math. 42 (1984), no. 2, 179--191. (Reviewer: Gustavo Perla Menzala) 35Q20 (35L45 81D25)

[40] 85h:35130 Branson, Thomas P. Eventual partition of conserved quantities in wave motion. J. Math. Anal. Appl. 96 (1983), no. 1, 54--62. (Reviewer: James T. Sandefur) 35L05 (35Q20)

[41] 85f:58124 Branson, Thomas P. Symplectic structure and conserved quantities for some new conformally covariant systems. J. Differential Equations 48 (1983), no. 1, 35--59. (Reviewer: Hans Plesner Jakobsen) 58G35 (58F05 81D25)

[42] 84m:58167 Branson, Thomas P.; Steeb, W.-H. Symmetries of nonlinear diffusion equations. J. Phys. A 16 (1983), no. 3, 469--472. (Reviewer: Stanly L. Steinberg) 58G35 (35K55)

[43] 84k:81056 Branson, Thomas P.; Kosmann-Schwarzbach, Yvette Conformally covariant nonlinear equations on tensor-spinors. Lett. Math. Phys. 7 (1983), no. 1, 63--73. (Reviewer: M. I. Monastyrski\u \i) 81D25 (53C80 58G30)

[44] 84g:58110 Branson, Thomas P. Conformally covariant equations on differential forms. Comm. Partial Differential Equations 7 (1982), no. 4, 393--431. (Reviewer: H. D. Fegan) 58G35 (58A12)

[45] 83d:53028 Branson, Thomas P. Quasi-invariance of the Yang\mhy Mills equations under conformal transformations and conformal vector fields. J. Differential Geom. 16 (1981), no. 2, 195--203. (Reviewer: N. J. Hitchin) 53C05 (81E10)

[46] 81d:90071 Solodovnikov, A. S. Systems of linear inequalities. Translated from the Russian by Lawrence M. Glasser and Thomas P. Branson. Popular Lectures in Mathematics. University of Chicago Press, Chicago, Ill.-London, 1980. viii+81 pp. ISBN: 0-226-76786-8 90C05 (52A20)

[47] 81a:52001 Boltyanskii, Vladimir Grigor\cprime evich; Gohberg, Izrail\cprime Tsudikovich The decomposition of figures into smaller parts. Translated from the Russian by Henry Christoffers and Thomas P. Branson. Popular Lectures in Mathematics. University of Chicago Press, Chicago, Ill.-London, 1980. vi+74 pp. ISBN: 0-226-06357-7 52-01

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