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The basic goals of the book are: (i) to introduce the subject to those interested in discovering it, (ii) to coherently present a number of basic techniques and results, currently used in the subject, to those working in it, and (iii) to present some of the results that are attractive in their own right, and which lend themselves to a presentation not overburdened with technical machinery.
Preface. The Laplacian. The Basic Examples. Curvature. Isoperimetric Inequalities. Eigenvalues and Kinematic Measure. The Heat Kernel for Compact Manifolds. The Dirichlet Heat Kernel for Regular Domains. The Heat Kernel for Noncompact Manifolds. Topological Perturbations with Negligible Effect. Surfaces of Constant Negative Curvature. The Selberg Trace Formula. Miscellanea. Laplacian on Forms. Bibliography. Index.
J. M. G. Fell, J. M.G. Fell, R. S. Doran, J. M.G. (University of Pennsylvania) Fell, R. S. (Texas Christian University) Doran, J. M. G. Fell, James M. Fell
J. M. G. Fell, J. M.G. Fell, R. S. Doran, J. M.G. (University of Pennsylvania) Fell, R. S. (Texas Christian University) Doran, J. M. G. Fell, James M. Fell
Igor Frenkel, James Lepowsky, Arne Meurman, Igor B. Frenkel, Connecticut) Frenkel, Igor B. (Yale University, New Haven, James (Rutgers University) Lepowsky, Arne (University of Stockholm) Meurman
S�ren Eilers, Dorte Olesen, Søren Eilers, Denmark) Eilers, Søren (Department of Mathematical Sciences, University of Copenhagen, Copenhagen, Denmark) Olesen, Dorte (Department of Applied Mathematics and Computer Science, Technical University of Denmark, Lyngby
J. M. G. Fell, J. M.G. Fell, R. S. Doran, J. M.G. (University of Pennsylvania) Fell, R. S. (Texas Christian University) Doran, J. M. G. Fell, James M. Fell
Igor Frenkel, James Lepowsky, Arne Meurman, Igor B. Frenkel, Connecticut) Frenkel, Igor B. (Yale University, New Haven, James (Rutgers University) Lepowsky, Arne (University of Stockholm) Meurman
J. M. G. Fell, J. M.G. Fell, R. S. Doran, J. M.G. (University of Pennsylvania) Fell, R. S. (Texas Christian University) Doran, J. M. G. Fell, James M. Fell
S�ren Eilers, Dorte Olesen, Søren Eilers, Denmark) Eilers, Søren (Department of Mathematical Sciences, University of Copenhagen, Copenhagen, Denmark) Olesen, Dorte (Department of Applied Mathematics and Computer Science, Technical University of Denmark, Lyngby