Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Aubin, J.P., 1972. Approximations of Elliptic Boundary-Value Problems, Wiley Interscience.
Barzaghi, R. and F. Sansò, 1994. A continuous approach to the integration of tomographic and gravimetric signals, preprint.
Forlani, G., F. Sansò and S. Tarantola, 1994. Digital Photogrammetry: Experiments with the Continuous Approach, in Proc. of the Symp. “Primary Data Acquisition and Evaluation”, Como, Int. Arch. of Photogrammetry and Remote Sensing, 30, Part 1, 229–236.
Franklin, J.N., 1970. Well-Posed Stochastic Extensions of Ill-Posed Linear Problems, Jour. of Math. Analysis and Appl., 31, 682–716.
Lamperti, J., 1977. Stochastic Processes — A Survey of the Mathematical Theory, Appl. Math. Sci. 23, Springer-Verlag.
Lehtinen, M.S., L. Päivärinta and E. Somersalo, 1989. Linear inverse problems for generalised random variables, Inverse Problems, 5, 599–612.
Mandelbaum, A., 1984. Linear Estimators and Measurable Linear Transformations on a Hilbert Space, Z. Wahrscheinlichkeitstheorie verw. Gebiete, 65, 385–397.
Moritz, H., 1980. Advanced Physical Geodesy, H. Wichmann Verlag.
Rozanov, Yu. A., 1971. Infinite-Dimensional Gaussian Distributions, Proc. of the Steklov Inst. of Math., 108, English transl. American Math. Soc.
Sacerdote, F. and F. Sansò, 1985. Overdetermined boundary value problems in physical geodesy, Man. Geod., 10, 195–207.
Sansò, F., 1988. The Wiener Integral and the Overdetermined Boundary Value Problems of Physical Geodesy, Manuscripta Geodaetica, 13, 75–98.
Sansò, F. and G. Sona, 1995. The theory of optimal linear estimation for continuous fields of measurements, Man. Geod., 20, 204–230.
Skorohod, A.V., 1974. Integration in Hilbert Space, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 79, Springer-Verlag.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1996 Springer-Verlag
About this chapter
Cite this chapter
Sacerdote, F., Sansò, F. (1996). Optimal linear estimation theory for continuous fields of observations. In: Jacobsen, B.H., Mosegaard, K., Sibani, P. (eds) Inverse Methods. Lecture Notes in Earth Sciences, vol 63. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0011785
Download citation
DOI: https://doi.org/10.1007/BFb0011785
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-61693-1
Online ISBN: 978-3-540-70687-8
eBook Packages: Springer Book Archive