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1. |
Record Nr. |
UNINA9910483511503321 |
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Autore |
Arabia Alberto |
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Titolo |
Equivariant Poincaré duality on G-manifolds : equivariant Gysin morphism and equivariant Euler classes / / Alberto Arabia |
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Pubbl/distr/stampa |
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Cham, Switzerland : , : Springer, , [2021] |
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©2021 |
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ISBN |
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Edizione |
[1st ed. 2021.] |
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Descrizione fisica |
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1 online resource (XV, 376 p. 272 illus., 2 illus. in color.) |
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Collana |
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Lecture Notes in Mathematics ; ; 2288 |
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Disciplina |
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Soggetti |
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Duality theory (Mathematics) |
Cohomology operations |
Teoria de la dualitat (Matemàtica) |
Homologia |
Llibres electrònics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Sommario/riassunto |
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This book carefully presents a unified treatment of equivariant Poincaré duality in a wide variety of contexts, illuminating an area of mathematics that is often glossed over elsewhere. The approach used here allows the parallel treatment of both equivariant and nonequivariant cases. It also makes it possible to replace the usual field of coefficients for cohomology, the field of real numbers, with any field of arbitrary characteristic, and hence change (equivariant) de Rham cohomology to the usual singular (equivariant) cohomology . The book will be of interest to graduate students and researchers wanting to learn about the equivariant extension of tools familiar from non-equivariant differential geometry. |
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2. |
Record Nr. |
UNINA9910255455903321 |
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Titolo |
Compressed Sensing and its Applications : Second International MATHEON Conference 2015 / / edited by Holger Boche, Giuseppe Caire, Robert Calderbank, Maximilian März, Gitta Kutyniok, Rudolf Mathar |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2017 |
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ISBN |
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Edizione |
[1st ed. 2017.] |
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Descrizione fisica |
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1 online resource (XIX, 388 p. 77 illus., 57 illus. in color.) |
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Collana |
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Applied and Numerical Harmonic Analysis, , 2296-5009 |
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Disciplina |
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Soggetti |
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Information theory |
Numerical analysis |
Signal processing |
Image processing |
Speech processing systems |
Coding theory |
Matrix theory |
Algebra |
Computer science - Mathematics |
Information and Communication, Circuits |
Numerical Analysis |
Signal, Image and Speech Processing |
Coding and Information Theory |
Linear and Multilinear Algebras, Matrix Theory |
Computational Science and Engineering |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references at the end of each chapters. |
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Nota di contenuto |
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Preface -- On the Global-Local Dichotomy in Sparsity Modeling, Batenkov, Romano, Elad -- Fourier Phase Retrieval: Uniqueness and Algorithms, Bendory, Beinert, Eldar -- Compressed Sensing Approaches for Polynomial Approximation of High-Dimensional Functions, Adcock, Brugiapaglia, Webster -- Multisection in the Stochastic Block Model |
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using Semidefinite Programming, Agarwal, Bandeira, Koiliaris, Kolla -- Recovering Signals with Unknown Sparsity in Multiple Dictionaries, Ahmad, Schniter -- Compressive Classification and the Rare Eclipse Problem, Bandeira, Mixon, Recht -- Weak Phase Retrieval, Bothelo-Andrade, Casazza, Ghoreishi, Jose, Tremain -- Cubatures on Grassmannians: Moments, Dimension Reduction, and Related Topics, Breger, Ehler, Gräf, Peter -- A Randomized Tensor Train Singular Value Decomposition, Huber, Schneider, Wolf -- Versatile and Scalable Cosparse Methods for Phsyics-driven Inverse Problems, Kitić, Bensiad, Albera, Bertin, Gribonval -- Total Variation Minimization in Compressed Sensing, Felix Krahmer, Kruschel, Sandbichler -- Compressed Sensing in Hilbert Spaces, Traonmilin, Puy, Gribonval, Davies. |
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Sommario/riassunto |
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This contributed volume contains articles written by the plenary and invited speakers from the second international MATHEON Workshop 2015 that focus on applications of compressed sensing. Article authors address their techniques for solving the problems of compressed sensing, as well as connections to related areas like detecting community-like structures in graphs, curbatures on Grassmanians, and randomized tensor train singular value decompositions. Some of the novel applications covered include dimensionality reduction, information theory, random matrices, sparse approximation, and sparse recovery. This book is aimed at both graduate students and researchers in the areas of applied mathematics, computer science, and engineering, as well as other applied scientists exploring the potential applications for the novel methodology of compressed sensing. An introduction to the subject of compressed sensing is also provided for researchers interested in the field who are not as familiar with it. . |
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