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Sampling, Approximation, and Signal Analysis Harmonic Analysis: in the Spirit of J. Rowland Higgins

Posted By: AvaxGenius
Sampling, Approximation, and Signal Analysis Harmonic Analysis: in the Spirit of J. Rowland Higgins

Sampling, Approximation, and Signal Analysis Harmonic Analysis: in the Spirit of J. Rowland Higgins by Stephen D. Casey, M. Maurice Dodson, Paulo J. S. G. Ferreira, Ahmed Zayed
English | PDF EPUB (True) | 2023 | 580 Pages | ISBN : 3031411293 | 67.7 MB

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.

Wavelets in Signal and Image Analysis: From Theory to Practice

Posted By: AvaxGenius
Wavelets in Signal and Image Analysis: From Theory to Practice

Wavelets in Signal and Image Analysis: From Theory to Practice by Arthur A. Petrosian, François G. Meyer
English | PDF | 2001 | 548 Pages | ISBN : 1402000537 | 50.2 MB

Despite their novelty, wavelets have a tremendous impact on a number of modern scientific disciplines, particularly on signal and image analysis. Because of their powerful underlying mathematical theory, they offer exciting opportunities for the design of new multi-resolution processing algorithms and effective pattern recognition systems.

Tauberian Theory: A Century of Developments

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Tauberian Theory: A Century of Developments

Tauberian Theory: A Century of Developments by Jacob Korevaar
English | PDF | 2004 | 497 Pages | ISBN : 354021058X | 37.4 MB

Tauberian theory compares summability methods for series and integrals, helps to decide when there is convergence, and provides asymptotic and remainder estimates. The author shows the development of the theory from the beginning and his expert commentary evokes the excitement surrounding the early results. He shows the fascination of the difficult Hardy-Littlewood theorems and of an unexpected simple proof, and extolls Wiener's breakthrough based on Fourier theory. There are the spectacular "high-indices" theorems and Karamata's "regular variation", which permeates probability theory. The author presents Gelfand's elegant algebraic treatment of Wiener theory and his own distributional approach. There is also a new unified theory for Borel and "circle" methods. The text describes many Tauberian ways to the prime number theorem. A large bibliography and a substantial index round out the book.

Mathematics and Computation

Posted By: AvaxGenius
Mathematics and Computation

Mathematics and Computation: IACMC 2022, Zarqa, Jordan, May 11–13 by Dia Zeidan, Juan C. Cortés, Aliaa Burqan, Ahmad Qazza, Jochen Merker, Gharib Gharib
English | EPUB (True) | 2023 | 476 Pages | ISBN : 9819904463 | 55 MB

This book collects select papers presented at the 7th International Arab Conference on Mathematics and Computations (IACMC 2022), held from 11–13 May 2022, at Zarqa University, Zarqa, Jordan. These papers discuss a new direction for mathematical sciences. Researchers, professionals and educators will be exposed to research results contributed by worldwide scholars in fundamental and advanced interdisciplinary mathematical research such as differential equations, dynamical systems, matrix analysis, numerical methods and mathematical modelling. The vision of this book is to establish prototypes in completed, current and future mathematical and applied sciences research from advanced and developing countries. The book is intended to make an intellectual contribution to the theory and practice of mathematics. This proceedings would connect scientists in this part of the world to the international level.

Integral Geometry and Convolution Equations (Repost)

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Integral Geometry and Convolution Equations (Repost)

Integral Geometry and Convolution Equations by V. V. Volchkov
English | PDF | 2003 | 466 Pages | ISBN : 140201628X | 3.85 MB

Integral geometry deals with the problem of determining functions by their integrals over given families of sets. These integrals de?ne the corresponding integraltransformandoneofthemainquestionsinintegralgeometryaskswhen this transform is injective.

The Mathematics of Marine Modelling: Water, Solute and Particle Dynamics in Estuaries and Shallow Seas

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The Mathematics of Marine Modelling: Water, Solute and Particle Dynamics in Estuaries and Shallow Seas

The Mathematics of Marine Modelling: Water, Solute and Particle Dynamics in Estuaries and Shallow Seas by Henk Schuttelaars, Arnold Heemink, Eric Deleersnijder
English | PDF,EPUB | 2022 | 324 Pages | ISBN : 3031095588 | 58 MB

Over the past few decades, numerical simulation has become instrumental in understanding the dynamics of seas, coastal regions and estuaries. The decision makers rely more and more frequently on model results for the management of these regions. Some modellers are insufficiently aware of the theoretical underpinning of the simulation tools they are using. On the other hand, a number of applied mathematicians tend to view marine sciences as a domain in which they would like to use the tools they have a good command of. Bridging the gap between model users and applied mathematicians is the main objective of the present book. In this respect a vast number of issues in which mathematics plays a crucial role will be addressed.

Kernel Mode Decomposition and the Programming of Kernels

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Kernel Mode Decomposition and the Programming of Kernels

Kernel Mode Decomposition and the Programming of Kernels by Houman Owhadi, Clint Scovel, Gene Ryan Yoo
English | PDF,EPUB | 2021 | 125 Pages | ISBN : 3030821706 | 19.8 MB

This monograph demonstrates a new approach to the classical mode decomposition problem through nonlinear regression models, which achieve near-machine precision in the recovery of the modes. The presentation includes a review of generalized additive models, additive kernels/Gaussian processes, generalized Tikhonov regularization, empirical mode decomposition, and Synchrosqueezing, which are all related to and generalizable under the proposed framework.

Solved Problems in Quantum and Statistical Mechanics

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Solved Problems in Quantum and Statistical Mechanics

Solved Problems in Quantum and Statistical Mechanics by Michele Cini, Francesco Fucito, Mauro Sbragaglia
English | PDF(True) | 2012 | 400 Pages | ISBN : 8847023149 | 3 MB

This work arises from our teaching this subject during many years. The vast majority of these exercises are the exams we gave to our students in this period. We carefully selected the subjects of the exercises to cover all the material which is most needed and which is treated in the most well known texts on these subjects.

Index Analysis: Approach Theory at Work (Repost)

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Index Analysis: Approach Theory at Work (Repost)

Index Analysis: Approach Theory at Work by R. Lowen
English | PDF | 2015 | 477 Pages | ISBN : 1447164849 | 6.4 MB

A featured review of the AMS describes the author’s earlier work in the field of approach spaces as, ‘A landmark in the history of general topology’. In this book, the author has expanded this study further and taken it in a new and exciting direction.

Essential Wavelets for Statistical Applications and Data Analysis

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Essential Wavelets for Statistical Applications and Data Analysis

Essential Wavelets for Statistical Applications and Data Analysis by R. Todd Ogden
English | PDF | 1997 | 218 Pages | ISBN : 0817638644 | 17.5 MB

I once heard the book by Meyer (1993) described as a "vulgarization" of wavelets. While this is true in one sense of the word, that of making a sub­ ject popular (Meyer's book is one of the early works written with the non­ specialist in mind), the implication seems to be that such an attempt some­ how cheapens or coarsens the subject. I have to disagree that popularity goes hand-in-hand with debasement. is certainly a beautiful theory underlying wavelet analysis, there is While there plenty of beauty left over for the applications of wavelet methods.

Discrete Calculus: Methods for Counting

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Discrete Calculus: Methods for Counting

Discrete Calculus: Methods for Counting by Carlo Mariconda
English | PDF(True) | 2016 | 674 Pages | ISBN : 331903037X | 8.8 MB

This book provides an introduction to combinatorics, finite calculus, formal series, recurrences, and approximations of sums. Readers will find not only coverage of the basic elements of the subjects but also deep insights into a range of less common topics rarely considered within a single book, such as counting with occupancy constraints, a clear distinction between algebraic and analytical properties of formal power series, an introduction to discrete dynamical systems with a thorough description of Sarkovskii’s theorem, symbolic calculus, and a complete description of the Euler-Maclaurin formulas and their applications.

Nonlinear Partial Differential Equations: Asymptotic Behavior of Solutions and Self-Similar Solutions

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Nonlinear Partial Differential Equations: Asymptotic Behavior of Solutions and Self-Similar Solutions

Nonlinear Partial Differential Equations: Asymptotic Behavior of Solutions and Self-Similar Solutions by Mi-Ho Giga
English | PDF | 2010 | 307 Pages | ISBN : 0817641734 | 2.9 MB

The main focus of this textbook, in two parts, is on showing how self-similar solutions are useful in studying the behavior of solutions of nonlinear partial differential equations, especially those of parabolic type. The exposition moves systematically from the basic to more sophisticated concepts with recent developments and several open problems. With challenging exercises, examples, and illustrations to help explain the rigorous analytic basis for the Navier–-Stokes equations, mean curvature flow equations, and other important equations describing real phenomena, this book is written for graduate students and researchers, not only in mathematics but also in other disciplines.

Topics in Hyperplane Arrangements, Polytopes and Box-Splines (Repost)

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Topics in Hyperplane Arrangements, Polytopes and Box-Splines (Repost)

Topics in Hyperplane Arrangements, Polytopes and Box-Splines by Corrado De Concini
English | PDF | 2010 | 387 Pages | ISBN : 0387789626 | 3.6 MB

Several mathematical areas that have been developed independently over the last 30 years are brought together revolving around the computation of the number of integral points in suitable families of polytopes. The problem is formulated here in terms of partition functions and multivariate splines.

Functional Analysis in Asymmetric Normed Spaces (Repost)

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Functional Analysis in Asymmetric Normed Spaces (Repost)

Functional Analysis in Asymmetric Normed Spaces by Ştefan Cobzaş
English | PDF | 2013 | 229 Pages | ISBN : 3034804776 | 2.4 MB

An asymmetric norm is a positive definite sublinear functional p on a real vector space X. The topology generated by the asymmetric norm p is translation invariant so that the addition is continuous, but the asymmetry of the norm implies that the multiplication by scalars is continuous only when restricted to non-negative entries in the first argument. The asymmetric dual of X, meaning the set of all real-valued upper semi-continuous linear functionals on X, is merely a convex cone in the vector space of all linear functionals on X.

Functional Analysis in China

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Functional Analysis in China

Functional Analysis in China by Bingren Li
English | PDF | 1996 | 391 Pages | ISBN : 0792338804 | 43.4 MB

Functional Analysis has become one of the main branches in Chinese mathematics. Many outstanding contributions and results have been achieved over the past sixty years.
This authoritative collection is complementary to Western studies in this field, and seeks to summarise and introduce the historical progress of the development of Functional Analysis in China from the 1940s to the present.