Seismic source representation in orthogonal functions

Quasi-orthogonal expansions for functions in BMO

For {φ_n(x)}, x ε [0,1] an orthonormalsystem of uniformly bounded functions, ||φ_n||_{∞}≤ M

Contractive gauge functions in strongly orthogonal metric spaces

Existence of fixed point in orthogonal metric spaces has been initiated recently by Eshaghi and et al. [On orthogonal sets and Banach fixed Point theorem, Fixed Point Theory, in press]. In this paper, we introduce the notion of the strongly orthogonal sets and prove a genuine generalization of Banach' fixed point theorem and Walter's theorem. Also, we give an example showing that our main theor...

Seismic Source Identification Techniques

Orthogonal Functions in H

We construct examples of H functions f on the unit disk such that the push-forward of Lebesgue measure on the circle is a radially symmetric measure μf in the plane, and we characterize which symmetric measures can occur in this way. Such functions have the property that { f n} is orthogonal in H2, and provide counterexamples to a conjecture of W. Rudin, independently disproved by Carl Sundberg...

Quantifying Seismic Source Parameter Uncertainties

We use data from a small aperture array in southern California to quantify variations in source parameter estimates at closely spaced stations (distances ranging from ∼7 to 350 m) to provide constraints on parameter uncertainties. Many studies do not consider uncertainties in these estimates even though they can be significant and have important implications for studies of earthquake source phy...