TL;DR: In this article, a nonlinear singularity-preserving solution to seismic image recovery with sparseness and continuity constraints is proposed, where sparsity in the curvelet domain as well as continuity along the imaged reflectors are jointly promoted.
TL;DR: In this article, the uncertainty principle is extended to symmetric operators and to normal operators, and different function spaces are studied in which they obtain a number of uncertainty principles of same type using various operators.
Abstract: Abstract. The Heisenberg uncertainty principle and the uncertainty principle for self-adjoint operators have been known and applied for decades. Both in quantum mechanics and in time-frequency analysis they play an important role. In this paper, the uncertainty principle is extended to symmetric operators and to normal operators. Further, different function spaces are studied in which we obtain a number of uncertainty principles of same type using various operators.