V Hotine-Marussi Symposium on Mathematical Geodesy: Matera, Italy June 17–21, 2003

Front Matter....Pages I-2
Report on the Symposium....Pages 3-4
Gaussian Differential Geometry and Differential Geodesy....Pages 5-11
Numerical techniques for large least-squares problems with applications to GOCE....Pages 12-21
The numerical treatment of the downward continuation problem for the gravity potential....Pages 22-31
Wiener filters and collocation in satellite gradiometry....Pages 32-38
How to handle colored noise in large least-squares problems in the presence of data gaps?....Pages 39-48
Statistical hypothesis tests in case of imprecise data....Pages 49-56
Multiresolution Data Analysis — Numerical Realization by Use of Domain Decomposition Methods and Fast Multipole Techniques....Pages 57-68
Integer Least-Squares....Pages 69-80
The Use of Wavelets for the Acceleration of Iteration Schemes....Pages 81-87
Helmert Geometry....Pages 88-89
Multiscale Solution of Oblique Boundary-Value Problems by Layer Potentials....Pages 90-98
Fast spherical harmonic synthesis and co-synthesis with applications in gravity field modeling....Pages 99-105
Fixed effects, random effects and the mixed model: new results of geodetic estimation and prediction theory....Pages 106-106
Some Generalized Equivalence Theorems for Least-Squares Adjustment....Pages 107-112
Procrustes Statistics to Test for Significant OLS Similarity Transformation Parameters....Pages 113-119
PDF Evaluation of the Integer Ambiguity Residuals....Pages 120-128
Multiple Models — Fixed, Switching, Interacting....Pages 129-136
A Comparison of Data Weighting Methods for the Combination of Satellite and Local Gravity Data....Pages 137-144
The rank deficiency in estimation theory and the definition of reference systems....Pages 145-156
ITRF2000: From Theory to Implementation....Pages 157-163
Problems in the Definition of Vertical Reference Frames....Pages 164-173
Geodetic Boundary-Value Problems and the Height Datum Problem....Pages 174-178
GPS Permanent Network Solution: the Impact of Temporal Correlations....Pages 179-183
A discussion of the use of spherical approximation or no approximation in gravity field modeling with emphasis on unsolved problems in Least-Squares Collocation....Pages 184-188
Some Topics Related to the Solution of Boundary-Value Problems in Geodesy....Pages 189-200
The estimation theory for random fields in the Bayesian context; a contribution from Geodesy....Pages 201-217
Testing invariance for random field modeling....Pages 218-225
A formal comparison between Marych-Moritz’s series, Sansò’s change of boundary method and a variational approach for solving some linear geodetic boundary value problems....Pages 226-233
Potential Coefficients Recovery from the Spectra of the Full Space-Borne Gravity Gradient Tensor....Pages 234-241
Application of spherical pseudo-differential operators and spherical wavelets for numerical solutions of the fixed altimetry-gravimetry boundary value problem....Pages 242-251
Ellipsoidal Vertical Deflections: Regional, Continental, Global Maps of the Horizontal Derivative of the Incremental Gravity Potential....Pages 252-259
Harmonic Maps....Pages 260-260
The Analytical Solutions of the Dirichlet and Neumann Boundary Value Problems with Ellipsoidal Boundary....Pages 261-261
Applications of Normal Mode Relaxation Theory to Solid Earth Geophysics....Pages 262-263
Geodesy and the Problem of Ice Sheets....Pages 264-273
Angular Momentum in the Earth System....Pages 274-284
Gravity Field Variability, the Geoid, and Ocean Dynamics....Pages 285-292
Estimating Covariance Parameters in Gravity Downward Continuation....Pages 293-300
Relating Gravity, Density, Topography and State of Stress Inside a Planet....Pages 301-308
The A-optimal regularization parameter in uniform Tykhonov-Phillips regularization — α-weighted BLE-....Pages 309-324
Response of the Earth’s Crust due to Topographic Loads Derived by Inverse Isostasy....Pages 325-332
SAR interferometry for deformation control....Pages 333-338
Changes in the Antarctic Ice Sheet Mass and the Instability of the Earth’s Rotation over the Last 110 Years....Pages 339-346
Back Matter....Pages 347-348