At the intersection of mathematics, engineering, and computer science sits the thriving field of compressive sensing. Based on the premise that data acquisition and compression can be performed simultaneously, compressive sensing finds applications in imaging, signal processing,…
This textbook is an introduction to functional analysis suited to final year undergraduates or beginning graduates. Its various applications of Hilbert spaces, including least squares approximation, inverse problems, and Tikhonov regularization, should appeal not only to mathema…
This book provides the foundations for a rigorous theory of functional analysis with bicomplex scalars. It begins with a detailed study of bicomplex and hyperbolic numbers, and then defines the notion of bicomplex modules. After introducing a number of norms and inner products o…
While Volume I (by W.A.J. Luxemburg and A.C. Zaanen, NHML Volume 1, 1971) is devoted to the algebraic aspects of the theory, this volume emphasizes the analytical theory of Riesz spaces and operators between these spaces. Though the numbering of chapters continues on from the fi…
Riesz Spaces
by Luxemburg, Wilhelmus A. J., Zaanen, Adriaan Cornelis
fromNorth-Holland Mathematical Library
The present volume is devoted mainly to the algebraic aspects of the subject. Volume II will emphasize the functional analytic aspects. Important topics covered are Freudenthal's spectral theorem (with applications to spectral theory in Hilbert space), the theory of prime ideals…