Series: Applied and Numerical Harmonic Analysis
2012, 2012, XVI, 260 p. 14 illus.
ISBN 978-0-8176-8306-1
Due: December 28, 2011
Channel modeling and analysis of multiband signals are becoming increasingly important in the field of communications, and the study of time and band limiting is a crucial component of these processes. This concise but comprehensive monograph is the first to be devoted specifically to this study, providing a thorough investigation of its theory and applications. Via state-of-the-art numerical methods, it develops the tools for applications not only to communications engineering, but also to optical engineering, geosciences, planetary sciences, and biomedicine.
Duration and Bandwidth Limiting begins with a discussion of the Bell Labs theory, both discrete and continuous, and goes on to address various related numerical and analytical techniques. It introduces a number of problems relevant to finite signal processing, and finally builds a theoretical framework for the sampling of time- and band-limited signals. Throughout, the book contains extensive supplemental material, giving greater depth on these subtopics to those who desire it.
With an unprecedented breadth of coverage and a careful balance between rigor and readability, Duration and Bandwidth Limiting is a particularly convenient resource both for mathematicians interested in the field and for professional engineers with an interest in theory. While its main target audience is practicing scientists, the book may also serve as useful supplemental reading material for mathematically-based graduate courses in communications and signal processing.
Preface.- Chapter 1: The Bell Labs Theory.- Chapter 2: Numerical Aspects of Time- and Bandlimiting.- Chapter 3: Thomson's Multitaper Method and Applications to Channel Modeling.- Chapter 4: Time- and Bandlimiting of Multiband Signals.- Chapter 5: Sampling of Bandlimited and Multiband Signals.- Chapter 6: Time-localized Sampling Approximations.- Appendix: Notation and Mathematical Prerequisites.- References.- Index.
Series: Operator Theory: Advances and Applications, Vol. 219
2012, 2012, XII, 264 p. 3 illus.
ISBN 978-3-0348-0262-8
Due: October 31, 2011
This is a collection of contributed papers which focus on recent results in areas of differential equations, function spaces, operator theory and interpolation theory. In particular, it covers current work on measures of non-compactness and real interpolation, sharp Hardy-Littlewood-Sobolev inequalites, the HELP inequality, error estimates and spectral theory of elliptic operators, pseudo differential operators with discontinuous symbols, variable exponent spaces and entropy numbers. These papers contribute to areas of analysis which have been and continue to be heavily influenced by the leading British analysts David Edmunds and Des Evans. This book marks their respective 80th and 70th birthdays.
Series: Progress in Mathematics, Vol. 297
1st Edition., 2012, Approx. 420 p.
Hardcover, ISBN 978-3-0348-0256-7
Due: March 31, 2012
Metric and Differential Geometry grew out of a similarly named conference held at Chern Institute of Mathematics, Tianjin and Capital Normal University, Beijing. The various contributions to this volume cover a broad range of topics in metric and differential geometry, including metric spaces, Ricci flow, Einstein manifolds, Kahler geometry, index theory, hypoelliptic Laplacian and analytic torsion. It offers the most recent advances as well as surveys the new developments.
Preface.- Blaine Lawson, Early Work of Jeff Cheeger.- Mike Anderson, Boundary value problems for metrics on 3-manifolds.- Xiuxiong Chen and Song Sun, Space of Kaehler metrics (V) ? Kaehler quantization.- Reese Harvey and Blaine Lawson, Split special Lagrangian geometry.- Christina Sormani, How Riemannian manifolds converge: a survey.- Gang Tian, Existence of Einstein metrics on Fano manifolds.- Pekka Koskela and K. Wildrick, Analytic properties of quasiconformal mappings between metric spaces.- Assaf Naor, An application of metric cotype to quasisymmetric embeddings.- Jean-Michel Bismut, Index theory and the hypoelliptic Laplacian.- Xianzhe Dai and Richard Melrose, Adiabatic limits, heat kernels and analytic torsion.- Xiaonan Ma and Weiping Zhang, Transversal index and L2-index for manifolds with boundary.- Werner Mueller, The asymptotics of the Ray-Singer analytic torsion of hyperbolic 3-manifolds.- James Simons and Dennis Sullivan, Differential characters for K-theory.
Volume package: Collected Papers of Bertram Kostant
1st Edition., 2012, Approx. 645 p. 3 illus.
Hardcover, ISBN 978-0-387-09584-4
Due: April 30, 2012
Kostant is an architect of modern Lie theory. Kostant's interests span a tremondous range of Lie theory, from differential geometry to representation theory, abstract algebra and mathematical phyiscs. Kostant's papers reach deep results, giving rise to whole new fields of activities. Kostant has been honored by numerous prestigious organizations over the six decades of his career.
For more than five decades Bertram Kostant has been one of the major architects of modern Lie theory. Virtually all his papers are pioneering with deep consequences, many giving rise to whole new fields of activities. His interests span a tremendous range of Lie theory, from differential geometry to representation theory, abstract algebra, and mathematical physics. Some specific topics cover algebraic groups and invariant theory, the geometry of homogeneous spaces, representation theory, geometric quantization and symplectic geometry, Lie algebra cohomology, Hamiltonian mechanics, modular forms, Whittaker theory, Toda lattice, and much more. It is striking to note that Lie theory (and symmetry in general) now occupies an ever increasing larger role in mathematics than it did in the fifties. During his years as professor at the Masachusetts Institute of Technology from 1962 until retiring from teaching in 1993, he was elected to the National Academy of Sciences USA, the American Academy of Arts and Sciences, the AMS Steele Prize, Honorary Doctorates from University of Codoba, Argentina, the University of Salamanca, Spain, Purdue University. Now in the sixth decade of his career, he continues to produce results of astonishing beauty and significance for which he is invited to lecture all over the world. This is the second volume (1965-1975) of a five-volume set of Bertram Kostant's collected papers. A distinguished feature of this second volume is Kostant's commentaries and summaries of his papers in his own words.
Volume package: Collected Papers of Bertram Kostant
1st Edition., 2012, Approx. 645 p. 3 illus.
Hardcover, ISBN 978-0-387-09586-8
Due: June 29, 2012
Kostant is an architect of modern Lie theory. Kostant's interests span a tremondous range of Lie theory, from differential geometry to representation theory, abstract algebra and mathematical phyiscs. Kostant's papers reach deep results, giving rise to whole new fields of activities. Kostant has been honored by numerous prestigious organizations over the six decades of his career.
For more than five decades Bertram Kostant has been one of the major architects of modern Lie theory. Virtually all his papers are pioneering with deep consequences, many giving rise to whole new fields of activities. His interests span a tremendous range of Lie theory, from differential geometry to representation theory, abstract algebra, and mathematical physics. Some specific topics cover algebraic groups and invariant theory, the geometry of homogeneous spaces, representation theory, geometric quantization and symplectic geometry, Lie algebra cohomology, Hamiltonian mechanics, modular forms, Whittaker theory, Toda lattice, and much more. It is striking to note that Lie theory (and symmetry in general) now occupies an ever increasing larger role in mathematics than it did in the fifties. During his years as professor at the Masachusetts Institute of Technology from 1962 until retiring from teaching in 1993, he was elected to the National Academy of Sciences USA, the American Academy of Arts and Sciences, the AMS Steele Prize, Honorary Doctorates from University of Codoba, Argentina, the University of Salamanca, Spain, Purdue University. Now in the sixth decade of his career, he continues to produce results of astonishing beauty and significance for which he is invited to lecture all over the world. This is the third volume (1975-1985) of a five-volume set of Bertram Kostant's collected papers. A distinguished feature of this third volume is Kostant's commentaries and summaries of his papers in his own words.