Some recent (and a few old) publications and preprints
A characterization of the non-local boundary value problems associated with an elliptic operator, Annali Scuola Normale Superiore Pisa
22 (1968), 425—513.G68.pdf
Properties of normal boundary problems for
elliptic even-order systems,
Ann. Sc. Norm. Sup.
(With R. T. Seeley): Zeta and eta functions for Atiyah-Patodi-Singer operators, Journal of Geometric Analysis 6, (1996 ), 31—77 zet96.pdf
(With R. T. Seeley) Weakly parametric pseudodifferential operators and Atiyah-Patodi-Singer boundary problems, Inventiones Math. 121 (1995), 481—529.
Parametrized pseudodifferential operators and geometric invariants, in Microlocal Analysis
and Spectral Theory (ed L. Rodino), 1997, Kluwer,
Nonhomogeneous Navier-Stokes
problems in $L_p$ Sobolev
spaces over interior and exterior domains, in Theory of the Navier-Stokes
Equations, Ser. Adv. Math. Appl. Sci. 47 (eds.J. G.
Heywood, K. Masuda, R. Rautmann, V. Solonnikov), World Scientific,
(With P. B. Gilkey) Logarithmic terms in asymptotic expansions of heat operator traces, Comm. Part. Diff. Eq. 23 (1998), 777—792. log97.pdf
Trace expansions for pseudodifferential boundary problems for Dirac-type operators and more general systems, Arkiv f. Mat. 37 (1999), 45—86. tra97.ps tra97.pdf
Heat trace and resolvent expansions for elliptic systems with pseudodifferential boundary conditions, preprint May 1997. Longer version of the abovementioned Arkiv f. Mat paper. heat97.ps heat97.pdf
A weakly polyhomogeneous calculus for pseudodifferential boundary problems, J. Functional An. 184 (2001), 19—76. wphg01.pdf
Poles of zeta and eta functions for perturbations of the Atiyah-Patodi-Singer problem, Comm. Math. Phys. 215 (2001) 583—589. pol00.pdf
(With
Nonhomogeneous Dirichlet Navier-Stokes problems in low regularity $L_p$ Sobolev spaces, J. Math. Fluid Mech. 3 (2001) 57—81. dirnav00.pdf
Trace formulas for parameter-dependent pseudodifferential operators, Nuclear Physics B (Proc. Suppl.) 104 (2002), 71—88. nap02.pdf
(With L. Hansen) Complex powers of resolvents of pseudodifferential operators, Comm. Part. Diff. Eq. 27 (2002), 2333—2361. powers02.pdf
Logarithmic terms in trace expansions of Atiyah-Patodi-Singer problems, Ann. Global An. Geom. 24 (2003), 1—51. apslog02.pdf
Spectral boundary conditions for generalizations of Laplace and Dirac operators, Comm. Math. Phys. 240 (2003), 243—280. spec02.pdf
A resolvent approach to traces and zeta Laurent expansions, in AMS Contemp. Math. Proc. 366 ``Spectral Geometry and Manifolds with Boundary and Decomposition of Manifolds'' 2005, 67—93. laur03.pdf
Analysis of invariants associated with spectral boundary problems for elliptic operators, in AMS Contemp. Math. Proc. 366 ``Spectral Geometry and Manifolds with Boundary and Decomposition of Manifolds'' 2005, 43—64. inv04.pdf
(With
On the logarithm component in trace defect formulas, Comm. Part. Diff. Equ. 30 (2005), 1671—1716. cpde0418.pdf
Remarks on nonlocal trace expansion coefficients, in ``Analysis, Geometry and Topology of Elliptic Operators,'' (eds. B. Booss-Bavnbek, S. Klimek, M. Lesch, W. Zhang), World Scientific, Singapore 2006, 215—234. koef05.pdf
Known and unknown results on elliptic boundary problems, Bull. Amer. Math. Soc. 43 (2006), 227—230. know05.pdf
Trace defect formulas and zeta values for boundary operators, Proceedings of a workshop at MPI-Bonn 2005: "Traces in Geometry, Number Theory and Quantum Fields" (Sergio Albeverio, Matilde Marcolli, Sylvie Paycha and Jorge Plazas, eds.) Aspects of Mathematics E 38, Vieweg Verlag , 2008, pages 137--153. bonn06.pdf
(With A. Gaarde) Logarithms and sectorial projections for elliptic boundary problems, Math. Scand. 103 (2008), 243-277, arXiv:math/0703878.
The local and global parts of the basic zeta coefficient for pseudodifferential boundary operators, Math. Ann. 341 (2008), 735—788. arXiv: math.AP/0611854. mathann08.pdf
Book: Distributions and Operators, Graduate Text in Mathematics 252, Springer-Verlag, New York 2009, 461 pp.
(With B.M. Brown and
Krein resolvent formulas for elliptic boundary
problems in nonsmooth domains, Rend. Sem.
Mat. Univ. Pol. Torino 66 (2008),
13-39.
Perturbation of essential spectra of exterior elliptic problems, arXiv:0811.1724 , to appear in J. Applicable Analysis.