Format: Hardback, 378 pages, height x width: 235x155 mm, 14 Illustrations, color;
1 Illustrations, black and white; X, 378 p. 15 illus., 14 illus. in color., 1 Hardback
Series: Applied and Numerical Harmonic Analysis
Pub. Date: 07-Feb-2025
ISBN-13: 9783031767920
This work is a tribute to the life and work of Guido Weiss, a mathematician whose profound contributions shaped the field of harmonic analysis over a span of more than six decades. His groundbreaking research, from pioneering real and complex analysis to his later work on wavelets, continues to influence generations of scholars. More than just a researcher, Guido was a mentor, collaborator, and friend to many, creating a global community of mathematicians. His charisma and generosity fostered lasting professional and personal connections across continents, touching lives far beyond academia.
This volume features contributions of collaborators, students, and colleagues of Guido, who had a particularly intense relationship with him. From a heartfelt remembrance of Guido Weiss to advanced discussions on spectral synthesis and wavelet theory, this collection contains a diverse landscape of mathematical results.
Readers will delve into topics such as the compactness of bilinear commutators, the intricacies of analytic families in extrapolation theory, and the intersections of time-frequency analysis with modern learning techniques. With contributions to Hardy spaces, Haar multipliers, and crystalline measures, this book serves both as a tribute to past achievements and a beacon for future exploration.
1. Guido Weiss: a few memories of a friend and an influential
mathematician.- 2. Optimal non-absolute domains for the Ces?ro operator minus
the identity.- 3. An applicable variant of spectral synthesis for wavelets.-
4. An update on the compactness of bilinear commutators.- 5. Irregularities
of distribution on two-point homogeneous spaces.- 6. Analytic families of
operators in extrapolation theory with application to average operators.-
7. On Complex Analytic tools, and the Holomorphic Rotation methods.- 8. Speed
of convergence in an ergodic theorem.- 9. Characterizations of product Hardy
spaces on stratified groups by singular integrals and maximal functions.-
10. A sufficient condition for Haar multipliers in Triebel-Lizorkin spaces.-
11. On frames of smooth, compactly-supported wave packets adapted to tilings
of frequency space.- 12. Singular integral operators and Holder spaces in
Dunkl Setting.- 13. An homage to Guido Weiss and his leadership of the Saint
Louis team: Commutators of Singular Integrals and Sobolev inequalities.-
14. Time-Frequency Analysis Meets Adversarial Learning.- 15. On Low-Rank
Convex-Convex Quadratic Fractional Programming.- 16. Crystalline measures and
wave front sets.- 17. Muckenhoupt matrix weights for general bases.
Format: Hardback, 356 pages, height x width: 235x155 mm, 1 Illustrations, black and white; XII, 356 p. 1 illus., 1 Hardback
Series: Infosys Science Foundation Series
Pub. Date: 21-Feb-2025
ISBN-13: 9789819798117
This book presents a collection of significant and original contributions that delve into the realm of nonlinear evolution equations and their applications, encompassing both theory and practical usage. Serving as a dynamic platform for interdisciplinary collaboration, it facilitates the exchange of innovative ideas among scientists from diverse fields who share a keen interest in the intricate world of evolution equations. The book bridges the gap between theory and practicality, offering valuable insights for researchers and enthusiasts alike, transcending disciplinary boundaries.
Evolution equations, a subset of partial differential equations, serve as mathematical tools to depict the temporal transformation of physical systems from their initial states. These equations find widespread utility in modeling various real-world phenomena across diverse disciplines. Notable examples of nonlinear evolution equations include the heat equation, which characterizes the evolution of heat distribution over time; the nonlinear Schrodinger equation, instrumental in understanding data transmission in fiber optic communication systems; the Korteweg-de Vries equation, illuminating the dynamics of surface water waves; and the portrayal of ion-acoustic waves in cold plasma.
Chapter 1 Initial Trace of Positive Solutions of Some Diffusion
Equations with Absorption.
Chapter 2 Graph Gradient Glows: from Discrete to
Continuum.
Format: Hardback, 356 pages, height x width: 235x155 mm, 1 Illustrations, black and white; XII, 356 p. 1 illus., 1 Hardback
Series: Infosys Science Foundation Series
Pub. Date: 21-Feb-2025
ISBN-13: 9789819798117
This book presents a collection of significant and original contributions that delve into the realm of nonlinear evolution equations and their applications, encompassing both theory and practical usage. Serving as a dynamic platform for interdisciplinary collaboration, it facilitates the exchange of innovative ideas among scientists from diverse fields who share a keen interest in the intricate world of evolution equations. The book bridges the gap between theory and practicality, offering valuable insights for researchers and enthusiasts alike, transcending disciplinary boundaries.
Evolution equations, a subset of partial differential equations, serve as mathematical tools to depict the temporal transformation of physical systems from their initial states. These equations find widespread utility in modeling various real-world phenomena across diverse disciplines. Notable examples of nonlinear evolution equations include the heat equation, which characterizes the evolution of heat distribution over time; the nonlinear Schrodinger equation, instrumental in understanding data transmission in fiber optic communication systems; the Korteweg-de Vries equation, illuminating the dynamics of surface water waves; and the portrayal of ion-acoustic waves in cold plasma.
Chapter 1 Initial Trace of Positive Solutions of Some Diffusion
Equations with Absorption.
Chapter 2 Graph Gradient Glows: from Discrete to
Continuum.
Format: Hardback, 342 pages, height x width: 235x155 mm, 133 Illustrations, color; 10 Illustrations,
black and white; XV, 342 p. 143 illus., 133 illus. in color., 1 Hardback
Pub. Date: 27-Jan-2025
ISBN-13: 9783031763045
This book focuses on nonlinear investing with a quantamental approach. Pricing relationships in financial markets are often nonlinear, which raises serious questions for portfolio management: How can we characterize nonlinear patterns in asset pricing? Why do such nonlinear patterns occur and in what contexts? How can we know whether such relationships will persist in the future? And how much is the value added by a nonlinear over a linear model?
These questions cannot be answered by piecing together fundamental information based on personal experience and preference, which can be biased, or by torturing the data to make it confess whatever we want (particularly big data, which allows more freedom for data mining). Rather, nonlinear investing should rely on both fundamental insights and quantitative analysis: the former ensures that similar nonlinear patterns will occur in the future and the latter validates the nonlinear pattern with historical data. In this way, quant marries fundamental: a quantamental approach!
The book provides a systematic guide to conducting nonlinear investing through quantamental analysis. The author demonstrates how nonlinear investment strategies, achieving both depth and breadth, add significant value to portfolio performance for different asset classes.
The primary audience for this book is senior professional investors and quant/fundamental investment shops who look for new ideas to enhance their existing products or develop new products. The book will also be helpful to finance faculty and graduate students who are interested in frontier industry practices.
This book focuses on nonlinear investing with a quantamental approach. Pricing relationships in financial markets are often nonlinear, which raises serious questions for portfolio management: How can we characterize nonlinear patterns in asset pricing? Why do such nonlinear patterns occur and in what contexts? How can we know whether such relationships will persist in the future? And how much is the value added by a nonlinear over a linear model?
These questions cannot be answered by piecing together fundamental information based on personal experience and preference, which can be biased, or by torturing the data to make it confess whatever we want (particularly big data, which allows more freedom for data mining). Rather, nonlinear investing should rely on both fundamental insights and quantitative analysis: the former ensures that similar nonlinear patterns will occur in the future and the latter validates the nonlinear pattern with historical data. In this way, quant marries fundamental: a quantamental approach!
The book provides a systematic guide to conducting nonlinear investing through quantamental analysis. The author demonstrates how nonlinear investment strategies, achieving both depth and breadth, add significant value to portfolio performance for different asset classes.
The primary audience for this book is senior professional investors and quant/fundamental investment shops who look for new ideas to enhance their existing products or develop new products. The book will also be helpful to finance faculty and graduate students who are interested in frontier industry practices.
Format: Hardback, 348 pages, height x width: 235x155 mm, 6 Illustrations, black and white; XIV, 348 p. 6 illus., 1 Hardback
Series: Mathematical Physics Studies
Pub. Date: 09-Feb-2025
ISBN-13: 9789819794034
This book presents the interplay between topological Markov shifts and CuntzKrieger algebras by providing notations, techniques, and ideas in detail. The main goal of this book is to provide a detailed proof of a classification theorem for continuous orbit equivalence of one-sided topological Markov shifts. The continuous orbit equivalence of one-sided topological Markov shifts is classified in terms of several different mathematical objects: the etale groupoids, the actions of the continuous full groups on the Markov shifts, the algebraic type of continuous full groups, the CuntzKrieger algebras, and the K-theory dates of the CuntzKrieger algebras. This classification result shows that topological Markov shifts have deep connections with not only operator algebras but also groupoid theory, infinite non-amenable groups, group actions, graph theory, linear algebras, K-theory, and so on. By using this classification result, the complete classification of flow equivalence in two-sided topological Markov shifts is described in terms of CuntzKrieger algebras. The authors will also study the relationship between the topological conjugacy of topological Markov shifts and the gauge actions of CuntzKrieger algebras.
Chapter 1 Introduction.
Chapter 2 Quantamental Analysis.
Chapter 3 Nonlinear Factor Effects on Returns.
Chapter 4 Nonlinear Alpha Modeling.
Chapter 5 Tail Portfolios.
Chapter 6 Nonlinear Investing: Japan Stock Selection Strategy.
Chapter 7 Nonlinear Investing: Currency.
Chapter 9 Nonlinear Investing: Commodity.- Index.
Format: Hardback, 655 pages, height x width: 235x155 mm, 85 Illustrations, color; 52 Illustrations,
black and white; XIX, 655 p. 137 illus., 85 illus. in color., 1 Hardback
Series: University Texts in the Mathematical Sciences
Pub. Date: 13-Feb-2025
ISBN-13: 9789819600687
This book serves as a core text in discrete mathematics. It discusses topics such as symbolic logic, enumerative combinatorics, algebraic structures, graph theory, and related applications to computer science and other allied subjects. The presentation of related concepts is suitable for sophomore, junior, and senior-level undergraduate students. Exercises provided at the end of each chapter are designed to help the reader have an active learning experience throughout the study.
Mathematical Logic.- Sets and Relations.- Functions.- Methods of Proofs.- Elementary Combinatorics.- Recurrences and Generating Functions.- Graph Theory.- Algebraic Systems.- Posets, Lattices and Boolean Algebras.- Automata Theory and Formal Languages.- Some Further Applications.
Format: Hardback, 283 pages, height x width: 235x155 mm, XVIII, 283 p., 1 Hardback
Series: CMS/CAIMS Books in Mathematics 999
Pub. Date: 12-Feb-2025
ISBN-13: 9783031765674
Inspired by the classic Recreations in the Theory of Numbers?The Queen of Mathematics Entertains by Albert H. Beiler, this book brings the excitement of recreational number theory into the 21st century through the lens of computational techniques. While Beilerfs work, originally published in 1964, captivated readers with its breadth and charm, some sections have become dated. Here, we re-examine most of the key topics Beiler covered, while introducing fresh updates and insights rooted in computational number theory.
The authors aim to present efficient computer algorithms to tackle various problems that arise in the theory of numbers, providing a deeper and more modern perspective on these timeless puzzles. Though we cannot rival Beilerfs exuberant prose, we hope our enduring fascination with these topics ? cultivated over decades of study and teaching ? will shine through and resonate with readers.
The book is structured into 21 chapters, each focusing on different facets of number theory with which the authors have extensive expertise. From ancient problems to contemporary computational challenges, this volume will reignite the joy and wonder found in numbers while incorporating the power of modern computation. Whether you're a seasoned mathematician or a curious learner, this book promises a journey through the rich and playful landscape of number theory, making both historical and new discoveries accessible to all.
Introduction.- Division, factors, primes, congruences, gcd, etc.- Representations of Integers.- Integer Powers.- The Binomial Congruence.- The Binomial Coe?cients.- Public-Key Cryptography.- Fibonacci and Lucas Numbers.- Sociable Numbers.- Lucas and Lehmer Sequences.- Primality.- Prime Curios.- Linear Recurrence Sequences.- Simple Continued Fractions.- Integer Factorization.- Sieve Devices.- Simple Continued Fraction of v.- Formulas for Primes.- The Pell Equation.- Some Diophantine Equations.- Conclusion.