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Hardy Spaces on Ahlfors-Regular Quasi Metric Spaces A Sharp Theory
Systematically constructing an optimal theory, this monograph develops and explores several approaches to Hardy spaces in the setting of Alhlfors-regular quasi-metric spaces. The text is divided into two main parts, with the first part providing atomic, molecular, and grand maximal function characterizations of Hardy spaces and formulates sharp versions of basic analytical tools for quasi-metri…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-18131-8
- Collation
- VIII, 486
- Series Title
- Lecture Notes in Mathematics
- Call Number
- 510 ALV h
Theory of Reproducing Kernels and Applications
This book provides a large extension of the general theory of reproducing kernels published by N. Aronszajn in 1950, with many concrete applications. In Chapter 1, many concrete reproducing kernels are first introduced with detailed information. Chapter 2 presents a general and global theory of reproducing kernels with basic applications in a self-contained way. Many fundamental operations amo…
- Edition
- -
- ISBN/ISSN
- 978-981-10-0530-5
- Collation
- -
- Series Title
- -
- Call Number
- -
Theory of Distributions
This book explains many fundamental ideas on the theory of distributions. The theory of partial differential equations is one of the synthetic branches of analysis that combines ideas and methods from different fields of mathematics, ranging from functional analysis and harmonic analysis to differential geometry and topology. This presents specific difficulties to those studying this field. Thi…
- Edition
- -
- ISBN/ISSN
- 978-3-319-19527-8
- Collation
- -
- Series Title
- -
- Call Number
- -
Operator-Related Function Theory and Time-Frequency Analysis
This book collects the proceedings of the 2012 Abel Symposium, held at the Norwegian Academy of Science and Letters, Oslo. The Symposium, and this book, are focused on two important fields of modern mathematical analysis: operator-related function theory and time-frequency analysis; and the profound interplay between them. Among the original contributions and overview lectures gathered here …
- Edition
- 1
- ISBN/ISSN
- 2193-2808
- Collation
- XII, 195
- Series Title
- Abel Symposia
- Call Number
- -
An Introduction to Ultrametric Summability Theory
This is the second, completely revised and expanded edition of the author’s first book, covering numerous new topics and recent developments in ultrametric summability theory. Ultrametric analysis has emerged as an important branch of mathematics in recent years. This book presents a brief survey of the research to date in ultrametric summability theory, which is a fusion of a classical branc…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-81-322-2559-1
- Collation
- XIII, 159
- Series Title
- Forum for Interdisciplinary Mathematics
- Call Number
- 519.4 NAT i
New Trends in Applied Harmonic Analysis
This volume is a selection of written notes corresponding to courses taught at the CIMPA School: "New Trends in Applied Harmonic Analysis: Sparse Representations, Compressed Sensing and Multifractal Analysis". New interactions between harmonic analysis and signal and image processing have seen striking development in the last 10 years, and several technological deadlocks have been solved throug…
- Edition
- 1
- ISBN/ISSN
- 2296-5009
- Collation
- XXVIII, 334
- Series Title
- Applied and Numerical Harmonic Analysis
- Call Number
- -
Writing Proofs in Analysis
This is a textbook on proof writing in the area of analysis, balancing a survey of the core concepts of mathematical proof with a tight, rigorous examination of the specific tools needed for an understanding of analysis. Instead of the standard "transition" approach to teaching proofs, wherein students are taught fundamentals of logic, given some common proof strategies such as mathematical ind…
- Edition
- -
- ISBN/ISSN
- 978-3-319-30967-5
- Collation
- -
- Series Title
- -
- Call Number
- -
Digital Fourier Analysis: Advanced Techniques
This textbook is a thorough, accessible introduction to advanced digital Fourier analysis for advanced undergraduate and graduate students. Assuming knowledge of the Fast Fourier Transform, this book covers advanced topics including the Hilbert transform, cepstrum analysis, and the two-dimensional Fourier transform. Saturated with clear, coherent illustrations, "Digital Fourier Analysis - Advan…
- Edition
- -
- ISBN/ISSN
- 9781493911271
- Collation
- xiii, 178 pages
- Series Title
- -
- Call Number
- 515.243 3
Extensions of Positive Definite Functions Applications and Their Harmonic An…
This monograph deals with the mathematics of extending given partial data-sets obtained from experiments; Experimentalists frequently gather spectral data when the observed data is limited, e.g., by the precision of instruments; or by other limiting external factors. Here the limited information is a restriction, and the extensions take the form of full positive definite function on some pres…
- Edition
- -
- ISBN/ISSN
- 978-3-319-39780-1
- Collation
- 39 b/w illustrations, 9 illustrations in colour
- Series Title
- -
- Call Number
- -
Methods of Applied Mathematics with a Software Overview
This textbook, now in its second edition, provides students with a firm grasp of the fundamental notions and techniques of applied mathematics as well as the software skills to implement them. The text emphasizes the computational aspects of problem solving as well as the limitations and implicit assumptions inherent in the formal methods. Readers are also given a sense of the wide variety of p…
- Edition
- 2
- ISBN/ISSN
- 978-3-319-43369-1
- Collation
- XVII, 781
- Series Title
- Applied and Numerical Harmonic Analysis
- Call Number
- -
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