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Modern Fourier Analysis
This text is aimed at graduate students in mathematics and to interested researchers who wish to acquire an in depth understanding of Euclidean Harmonic analysis. The text covers modern topics and techniques in function spaces, atomic decompositions, singular integrals of nonconvolution type and the boundedness and convergence of Fourier series and integrals. The exposition and style are designed to stimulate further study and promote research. Historical information and references are included at the end of each chapter. This third edition includes a new chapter entitled "Multilinear Harmonic Analysis" which focuses on topics related to multilinear operators and their applications. Sections 1.1 and 1.2 are also new in this edition. Numerous corrections have been made to the text from the previous editions and several improvements have been incorporated, such as the adoption of clear and elegant statements. A few more exercises have been added with relevant hints when necessary.
Management and Sustainability in the Belt and Road
China’s Belt and Road Initiatives (BRI) is an ambitious infrastructure project conceived in 2013 by President Xi Jinping with development and investment initiatives stretching from Asia and Europe that reflect the original Silk Road with business networks through countries such as Afghanistan, Kazakhstan, Kyrgyzstan, Tajikistan, Turkmenistan, and Uzbekistan, as well as India and Pakistan, spanning a route of more than 4,000 miles and history that can be dated back more than 2,200 years. Given the background of China’s unique approach in fighting COVID-19, and against the backdrop of sluggish economic growth, innovation, and management, sustainable development of BRI will be the key and t...
The Hardy Space H1 with Non-doubling Measures and Their Applications
The present book offers an essential but accessible introduction to the discoveries first made in the 1990s that the doubling condition is superfluous for most results for function spaces and the boundedness of operators. It shows the methods behind these discoveries, their consequences and some of their applications. It also provides detailed and comprehensive arguments, many typical and easy-to-follow examples, and interesting unsolved problems. The theory of the Hardy space is a fundamental tool for Fourier analysis, with applications for and connections to complex analysis, partial differential equations, functional analysis and geometrical analysis. It also extends to settings where the doubling condition of the underlying measures may fail.
Geometric Potential Analysis
This monograph contains papers that were delivered at the special session on Geometric Potential Analysis, that was part of the Mathematical Congress of the Americas 2021, virtually held in Buenos Aires. The papers, that were contributed by renowned specialists worldwide, cover important aspects of current research in geometrical potential analysis and its applications to partial differential equations and mathematical physics.
ICEKIM 2023
This book contains the proceedings of the 4th International Conference on Education, Knowledge and Information Management (ICEKIM 2023) held via hybrid form in Nanjing, China during May 26th to 28th, 2023. The specific topics covered in this conference include the application of artificial intelligence in education, learning management systems, collaborative learning, e-learning methodologies, intellectual property rights, and patents. The aim of the conference is to bring together various professionals from the scientific community to foster connections between science, technology, and industry, and provide a platform for exploring fundamental issues and new applications in related fields. ...
Next Generation Entrepreneurship
The book deals with next-generation entrepreneurship and aims to answer the questions of in which ways, how, through which focal directions, and by which means will next-generation entrepreneurship emerge and shape the market processes. Under this broad overview, the book is sub-divided into three sections: “Entrepreneurship Education and Young Perspectives”, “New Challenges for Entrepreneurship”, and “Shaping the Next Generation of Entrepreneurship”. The book balances empirical evidence with conceptual contributions.
Sustainable Development Research in the Asia-Pacific Region
This multidisciplinary book focuses on best practices in sustainability research in the Asia-Pacific Region. Drawing links between research, practice, education for sustainability and the needs of industry, it addresses the sustainable development goals (SDGs). The book also presents research undertaken by a wide range of universities on matters related to sustainable development, in order to promote research in this area across multiple disciplines. Four key themes are explored: (1) Education for Sustainability. (2) Sustainable Cities. (3) Sustainable Buildings. (4) Sustainable Infrastructure. This unique book documents and disseminates the wealth of know-how on sustainable development research in the Asia-Pacific Region today. It presents lessons learned and comparative case studies from various countries, including India, China, Indonesia, the Philippines, Bangladesh, New Zealand and Australia.
Classical Fourier Analysis
The main goal of this text is to present the theoretical foundation of the field of Fourier analysis on Euclidean spaces. It covers classical topics such as interpolation, Fourier series, the Fourier transform, maximal functions, singular integrals, and Littlewood–Paley theory. The primary readership is intended to be graduate students in mathematics with the prerequisite including satisfactory completion of courses in real and complex variables. The coverage of topics and exposition style are designed to leave no gaps in understanding and stimulate further study. This third edition includes new Sections 3.5, 4.4, 4.5 as well as a new chapter on “Weighted Inequalities,” which has been moved from GTM 250, 2nd Edition. Appendices I and B.9 are also new to this edition. Countless corrections and improvements have been made to the material from the second edition. Additions and improvements include: more examples and applications, new and more relevant hints for the existing exercises, new exercises, and improved references.
