
Sampling, Approximation, and Signal Analysis by Stephen D Casey
During his long and distinguished career, J. Rowland Higgins (1935-2020) made a substantial impact on many mathematical fields through his work on sampling theory, his deep knowledge of its history, and his service to the community. This volume is a tribute to his work and legacy, featuring chapters written by distinguished mathematicians that explore cutting-edge research in sampling, approximation, signal analysis, and other related areas. An introductory chapter provides a biography of Higgins that explores his rich and unique life, along with a bibliography of his papers; a brief history of the SampTA meetings - of which he was a Founding Member - is also included. The remaining articles are grouped into four sections - classical sampling, theoretical extensions, frame theory, and applications of sampling theory - and explore Higgins' contributions to these areas, as well as some of the latest developments.-
Fourier Analysis and Convexity
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Explorations in the Mathematics of Data Science
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Generalized Multiresolution Analyses
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Sampling, Frames, and Harmonic Analysis
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Metrics, Norms, Inner Products, and Operator Theory
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Recent Advances in Approximation and Potential Theory
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Sampling: Theory and Applications
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Harmonic and Applied Analysis
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The XFT Quadrature in Discrete Fourier Analysis
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The Mathematical Heritage of Guido Weiss
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Theoretical Physics, Wavelets, Analysis, Genomics
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Wavelet Transforms and Time-Frequency Signal Analysis
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Realtime Data Mining
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Computational Methods for Three-Dimensional Microscopy Reconstruction
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Lectures on Constructive Approximation
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Distributions in the Physical and Engineering Sciences, Volume 2
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An Introduction to Wavelet Analysis
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Wavelets Through a Looking Glass
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Sampling, Wavelets, and Tomography
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Landscapes of Time-Frequency Analysis
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Mathematical Image Processing
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Discrete Tomography
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Compressed Sensing and Its Applications
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Methods of Fourier Analysis and Approximation Theory
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New Perspectives on Approximation and Sampling Theory
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Analysis of Divergence
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Time-Frequency Representations
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Recent Advances in Mathematics and Technology
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Modulation Spaces
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Geometry of Digital Spaces
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Distributions in the Physical and Engineering Sciences
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Functions of Bounded Variation and Their Fourier Transforms
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Distributions in the Physical and Engineering Sciences, Volume 3
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Multiscale Potential Theory
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Computational Signal Processing with Wavelets
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Adventures in Graph Theory
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Transionospheric Synthetic Aperture Imaging
Stephen D. Casey is a Professor of Mathematics at American University. His work includes multichannel deconvolution and multi-rate sampling, sampling in Euclidean and non-Euclidean geometries, sampling for wideband signals, signal adaptive frame theory, and the analysis of pulse train signals. He has published over 70 articles and edited two books, and has given over one hundred and twenty talks. His research has been funded by twenty-four research grants and four contracts, and he was awarded three provisional patents and two full patents for work in signal processing. He received the 2019 Drew University Alumni Achievement Award in the Sciences.
Maurice Dodson is a Professor Emeritus of Mathematics at the University of York. He wrote over seventy papers, co-authored 1 book and co-edited another. His interests broadened to Diophantine approximation and the metrical theory and further to dynamical systems and their many applications, including the WKS sampling theorem and its variety of applications, the last stemming from a connection with X-ray crystallography. This led to meeting Rowland Higgins in 1985 and the start of a long productive collaboration, often with a number of authors, in sampling theory and its applications and extensions, particularly to LCA groups and Kluvanek’s theorem and to sampling for function spaces.
Paulo Jorge S. G. Ferreira is a Professor of Electrical Engineering at University of Aveiro, Portugal. He serves as Rector of the University of Aveiro since May 2022, in his second term. He has been editor of international scientific journals in engineering and mathematics and he is author or co-author of works published in well-known scientific journals in the fields of Electrical Engineering, Computer Science, Agriculture, Bioinformatics, Mathematics, Physics and other fields. He is listed in the top 1% cited scientists in the so-called Stanford Ranking ("Updated science-wide author databases of standardized citation indicators", 2022).
Ahmed I. Zayed is a Professor of Mathematics at the Department of Mathematical Sciences, DePaul University, Chicago, and was the Chair of the department from 2001 until 2021. His research interest is applied harmonic analysis, sampling, and integral transforms. He has published 2 books and edited 7 research monographs. He has written 22 book chapters, published 118 research articles, and reviewed 173 publications for the Mathematical Reviews and 81 for the Zentralblatt für Mathematik (zbMath). He has served on the editorial boards of 22 scientific research journals.
Maurice Dodson is a Professor Emeritus of Mathematics at the University of York. He wrote over seventy papers, co-authored 1 book and co-edited another. His interests broadened to Diophantine approximation and the metrical theory and further to dynamical systems and their many applications, including the WKS sampling theorem and its variety of applications, the last stemming from a connection with X-ray crystallography. This led to meeting Rowland Higgins in 1985 and the start of a long productive collaboration, often with a number of authors, in sampling theory and its applications and extensions, particularly to LCA groups and Kluvanek’s theorem and to sampling for function spaces.
Paulo Jorge S. G. Ferreira is a Professor of Electrical Engineering at University of Aveiro, Portugal. He serves as Rector of the University of Aveiro since May 2022, in his second term. He has been editor of international scientific journals in engineering and mathematics and he is author or co-author of works published in well-known scientific journals in the fields of Electrical Engineering, Computer Science, Agriculture, Bioinformatics, Mathematics, Physics and other fields. He is listed in the top 1% cited scientists in the so-called Stanford Ranking ("Updated science-wide author databases of standardized citation indicators", 2022).
Ahmed I. Zayed is a Professor of Mathematics at the Department of Mathematical Sciences, DePaul University, Chicago, and was the Chair of the department from 2001 until 2021. His research interest is applied harmonic analysis, sampling, and integral transforms. He has published 2 books and edited 7 research monographs. He has written 22 book chapters, published 118 research articles, and reviewed 173 publications for the Mathematical Reviews and 81 for the Zentralblatt für Mathematik (zbMath). He has served on the editorial boards of 22 scientific research journals.
| SKU | Unavailable |
| ISBN 13 | 9783031411298 |
| ISBN 10 | 3031411293 |
| Title | Sampling, Approximation, and Signal Analysis |
| Author | Stephen D Casey |
| Series | Applied And Numerical Harmonic Analysis |
| Condition | Unavailable |
| Binding Type | Hardback |
| Publisher | Birkhauser Verlag AG |
| Year published | 2024-01-06 |
| Number of pages | 558 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |




































