Editorial Board 1
Compactness of composition operators on a Hilbert space of Dirichlet series 2
Introduction 2
Compactness of composition operators on H 4
Concluding remarks and questions 16
Acknowledgements 17
References 17
Global existence of small solutions for quadratic quasilinear Klein-Gordon systems in two space dimensions 19
Introduction 19
Global solutions to the Klein-Gordon equation 22
Statement of the main theorem 22
New coordinates and Klainerman vector fields 26
Energy inequalities 35
Linear energy inequalities 35
Nonlinear energy estimates 39
Global existence and asymptotics 44
Proof of global existence 44
Asymptotic behaviour 51
References 53
Decompositions of a Krein space in regular subspaces invariant under a uniformly bounded C0-semigroup of bi-contractions 55
Introduction 55
Invariant subspaces for two commuting bi-contractions 58
Similarity and C0-semigroups 64
The condition H 69
Stability 76
Power-bounded co-generator 80
Acknowledgements 84
References 84
The Cauchy process and the Steklov problem 86
Introduction 87
Preliminary results 93
The mixed Steklov problem 99
Eigenfunctions and eigenvalues 128
The one-dimensional case 139
Acknowledgements 152
References 152
Eigenvalue asymptotics for the Schr?dinger operators on the hyperbolic plane 155
Introduction and main result 155
Results from functional analysis 158
Brownian motion on the hyperbolic plane 162
Brownian motion on H 162
Generalized expectations 164
Pinned Wiener measures 167
Preliminary stochastic analysis 168
Estimate of the trace of the heat semigroup e-tHV 175
The heat kernel for HV 175
Upper bound for Tre-tHV 177
Lower bound for Tre-tHV 179
Proof of Theorem 1.3 182
Simon [16, Theorem 10.2] 182
Simon [16, Theorem 10.3] 182
Examples 183
Acknowledgements 186
References 186
KMS states of quasi-free dynamics on Pimsner algebras 188
Introduction 188
Preliminary results on induced traces 190
KMS states on Pimsner algebras 192
KMS weights on module algebras 202
Acknowledgements 212
References 212
Chern-Simons theory on R3 in axial gauge: a rigorous approach 214
Introduction 214
Link invariants from the Chern-Simons path integral 216
Axial gauge fixing for M=R3 217
Some notions and results from White noise analysis 218
The Chern-Simons path integral in axial gauge as a generalized distribution 219
Loop smearing 221
Framing 223
Weakly admissible links and weakly admissible framings 225
Computation of the WLOs for G=U1 226
Conclusions and outlook 236
Acknowledgements 237
References 237
Concentration of norms and eigenvalues of random matrices 239
Introduction 239
General concentration results 242
Talagrand 242
Borell, Sudakov-Tsirel’son 248
Norms and eigenvalues of random matrices 248
Acknowledgements 254
References 254
Author Index 256
Volume Contents 257
Table of Contents/Bar code 259

upload/magzdb/ul/3725/JFA 2004 Volume 211 Issue 2.pdf

lgli/z:\!J\!Journal of Functional Analysis\Journal of Functional Analysis 2004-00 v21n02(2).pdf

PDFsharp 1.2.1269-g (www.pdfsharp.com)

3145209

producers:
PDFsharp 1.2.1269-g (www.pdfsharp.com)

(1967-)

JFA 2004 Volume 211 Issue 2

2012-12-07