Contents: Cauchy-Type Integrals in the Theory of a Plane Geopotential Field: Cauchy-Type Integral. Representation of Plane Geopotential Fields in the Form of the Cauchy-Type Integral. Techniques for Separation of Plane Fields. Analytical Continuation of a Plane Field -- Cauchy-Type Integral Analogs in the Theory of a Three-dimensional Geopotential Field: Three-dimensional Cauchy-Type Integral Analogs. Application of Cauchy Integral Analogs to the Theory of a Three-Dimensional Geopotential Field. Analytical Continuation of a Three-Dimensional Geopotential Field -- Stratton-Chu Type Integrals in the Theory of Electromagnetic Fields: Stratton-Chu Type Integrals. Analytical Continuation of the Electromagnetic Field. Migration of the Electromagnetic Field -- Kirchhoff-type Integrals in the Elastic Wave Theory: Kirchhoff-type Integrals. Continuation and Migration of Elastic Wave Fields -- Appendix A: Space Analogs of the Cauchy-Type Integrals and the Quaternion Theory -- Appendix B: Green Electromagnetic Functions for Inhomogeneous Media and Their Properties -- References -- Subject Index.
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Integral Transforms of Geophysical Fields serve as one of the major tools for processing and interpreting geophysical data. In this book the authors present a unified treatment of this theory, ranging from the techniques of the transfor- mation of 2-D and 3-D potential fields to the theory of se- paration and migration of electromagnetic and seismic fields. Of interest primarily to scientists and post-gradu- ate students engaged in gravimetrics, but also useful to geophysicists and researchers in mathematical physics.
9783642726309
Springer eBooks
Title of the original Russian edition:"Analogi integrala tipa, Koshi v teorii geofizicheskikh, Polei",Nauka, 1984