Denseness, Bases and Frames in Banach Spaces and Applications (2018. XV, 406 S. 12 b/w ill. 240 mm)

§16§§This book is devoted to recent developments concerning linear operators, covering topics such as the Cauchy problem, Riesz basis, frames, spectral theory and applications to the Gribov operator in Bargmann space. § §Also, integral and integro-differential equations as well as applications to problems in mathematical physics and mechanics are discussed. § §Contents§Introduction§Linear operators§Basic notations and results§Bases§Semi-groups§Discrete operator and denseness of the generalized eigenvectors§Frames in Hilbert spaces§Summability of series§ni-convergence operators§ -hypercyclic set of linear operators§Analytic operators in Béla Szökefalvi-Nagy's sense§Bases of the perturbed operator T( ) §Frame of the perturbed operator T( ) §Perturbation method for sound radiation by a vibrating plate in a light fluid §Applications to mathematical models §Reggeon field theory § §02§Aref Jeribi, University of Sfax, Tunisia.