Scale-independent complementary bivariational principles in a complex Hilbert space, and their application to a scattering problem

Scale Continuous, Scale Discretized, and

Scale Continuous, Scale Discretized, and Scale Discrete Harmonic Wavelets for the Outer and the Inner Space of a Sphere and Their Application to an Inverse Problem in Geomathematics

✍ Volker Michel 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 625 KB

In this paper, we construct a multiscale solution method for the gravimetry problem, which is concerned with the determination of the earth's density distribution from gravitational measurements. For this purpose, isotropic scale continuous wavelets for harmonic functions on a ball and on a bounded