Some Novel Aspects of the Cauchy Problem -- Analytic and Algebraic Ideas: How to Profit from Their Complementarity -- On Certain First-Order Partial Differential Equations in C n -- Hermite Operator on the Heisenberg Group -- A Div-Curl Lemma in BMO on a Domain -- Subharmonic Functions on Discrete Structures -- Nearly Hyperbolic Varieties and Phragmén-Lindelöf Conditions -- Sampling and Local Deconvolution -- Orthogonal Projections on Hyperbolic Space -- Eigenwavelets of the Wave Equation -- Security Analysis and Extensions of the PCB Algorithm for Distributed Key Generation -- Quotient Signal Estimation.Carlos A. Berenstein has had a profound influence on scholars and practitioners alike amid a distinguished mathematical career spanning nearly four decades. His uncommon capability of adroitly moving between these parallel worlds is demonstrated by the breadth of his research interests, from his early theoretical work on interpolation in spaces of entire functions with growth conditions and residue theory to his later work on deconvolution and its applications to issues ranging from optics to the study of blood flow. This volume, which celebrates his sixtieth birthday, reflects the state-of-the-art in these areas. Original articles and survey articles, all refereed, cover topics in harmonic and complex analysis, as well as more applied work in signal processing. Contributors: C.A. Berenstein; R.W. Braun; O. Calin; D-C. Chang; G. Dafni; L. Ehrenpreis; G. Kaiser; C.O. Kiselman; P. Krishnaprasad; B.Q. Li; B. Matt; R. Meise; D. Napoletani; R. Poovendran; Y. Qiao; J. Ryan; C. Sadosky; D.C. Struppa; B.A. Taylor; J. Tie; D.F. Walnut; and A. Yger.