In this work, Han and Sawyer extend Littlewood-Paley theory, Besov spaces, and Triebel-Lizorkin spaces to the general setting of a space of homogeneous type. For this purpose, they establish a suitable analogue of the Calder 'on reproducing formula and use it to extend classical results on atomic decomposition, interpolation, and T1 and Tb theorems. Some new results in the classical setting are also obtained: atomic decompositions with vanishing b-moment, and Littlewood-Paley characterizations of Besov and Triebel-Lizorkin spaces with only half the usual smoothness and cancellation conditions on the approximate identity.
This book could have been entitled “Analysis and Geometry.” The authors are addressing the following issue: Is it possible to perform some harmonic analysis on a set? Harmonic analysis on groups has a long tradition. Here we are given a metric set X with a (positive) Borel measure ? and we would like to construct some algorithms which in the classical setting rely on the Fourier transformation. Needless to say, the Fourier transformation does not exist on an arbitrary metric set. This endeavor is not a revolution. It is a continuation of a line of research whichwasinitiated,acenturyago,withtwofundamentalpapersthatIwould like to discuss brie?y. The ?rst paper is the doctoral dissertation of Alfred Haar, which was submitted at to University of Gottingen ̈ in July 1907. At that time it was known that the Fourier series expansion of a continuous function may diverge at a given point. Haar wanted to know if this phenomenon happens for every 2 orthonormal basis of L [0,1]. He answered this question by constructing an orthonormal basis (today known as the Haar basis) with the property that the expansion (in this basis) of any continuous function uniformly converges to that function.
This book systematically introduces the petroleum geological characteristics and exploration theory of marine strata in China. On the basis of four major basins, 14 typical cases have been studied in which 13 cases are from conventional oil and gas fields and 1 case is from shale gas field, along with their hydrocarbon generation, migration, accumulation, and distribution characteristics. The book provides a reference for geologists around the globe to understand the exploration history, methods and advances in marine strata oil and gas exploration in China.
This book presents state-of-the-art research advances in the field of biologically inspired cooperative control theories and their applications. It describes various biologically inspired cooperative control and optimization approaches and highlights real-world examples in complex industrial processes. Multidisciplinary in nature and closely integrating theory and practice, the book will be of interest to all university researchers, control engineers and graduate students in intelligent systems and control who wish to learn the core principles, methods, algorithms, and applications.
Advances in Ultra-low Emission Control Technologies for Coal-Fired Power Plants discusses the emissions standards of dust, SO2, NOx and mercury pollution, also presenting the key technologies available to control emissions in coal-fired power plants. The practical effects of ultra-low emissions projects included help the reader understand related implications in plants. Emphasis is placed on 300MW subcritical, 600MW subcritical, 660MW supercritical and 1000MW ultra-supercritical coal-fired units. The influence of different pollutant control units, such as wet electrostatic precipitator, desulfurization equipment and the electrostatic precipitator are also analyzed, and the pollutant levels before and after retrofitted ultra-low emissions are compared throughout. - Provides a unique analysis of advanced technologies, such as dust-removal, desulfurization and denitrification used for ultra-low emissions in coal-fired power plants - Introduces emission standards for dust, SO2, NOx and Mercury pollution from coal-fired power plants in China, the US and Europe - Provides solutions to reducing emissions based on technological advances in China - Analyzes the environmental and economic effects of these technologies
This anthology is comprised of three hundred Chinese cut verses, each followed by an English translation. The anthology consists of six parts: poems about photographs; poems about paintings; initiation and response; chanting; poems about exchanges with friends; and poems in memory of late parents, scholars and sages. All the poems revolve around the poet’s life at Beijing Geely University and his vacations in Huainan, including poems depicting the fight against the coronavirus. The poet is aware that translating a Chinese cut verse into an English verse is, in fact, writing what is said in Chinese in accordance with the English versification, and all the translations are completed accordingly.
The cut verse, ci and sanqu are the three categories of the Chinese metric verse; this anthology includes three hundred verses, one hundred for each of the three categories. The verses are based on Chinese culture in general, and the author’s personal life in particular. All the verses are written in Chinese, but all have English translations, in some cases with notes. The anthology is designed for readers interested in the Chinese verse, or Chinese culture at large, for those who are engaged in Chinese studies, and for Chinese courses, symposiums and libraries.
Lanthanide-Doped Luminescent Nanomaterials reviews the latest advances in the development of lanthanide-doped luminescent inorganic nanoparticles for potential bioapplications. This book covers the chemical and physical fundamentals of these nanoparticles, such as the controlled synthesis methodology, surface modification chemistry, optical physics, and their promising applications in diverse bioassays, with an emphasis on heterogeneous and homogeneous in-vitro biodetection of tumor biomarkers. This book is intended for those readers who are interested in systematically understanding the materials design strategy, optical behavior of lanthanide ions, and practical bioapplications of lanthanide nanoparticles. It primarily focuses on the interdisciplinary frontiers in chemistry, physics and biological aspects of luminescent nanomaterials. All chapters were written by scientists active in this field and for a broad audience, providing both beginners and advanced researchers with comprehensive information on the subject. Xueyuan Chen is a Professor at Fujian Institute of Research on the Structure of Matter (FJIRSM), Chinese Academy of Sciences. Yongsheng Liu is a Research Associate Professor at FJIRSM, Chinese Academy of Sciences. Datao Tu is a Research Assistant Professor at FJIRSM, Chinese Academy of Sciences.
This book could have been entitled “Analysis and Geometry.” The authors are addressing the following issue: Is it possible to perform some harmonic analysis on a set? Harmonic analysis on groups has a long tradition. Here we are given a metric set X with a (positive) Borel measure ? and we would like to construct some algorithms which in the classical setting rely on the Fourier transformation. Needless to say, the Fourier transformation does not exist on an arbitrary metric set. This endeavor is not a revolution. It is a continuation of a line of research whichwasinitiated,acenturyago,withtwofundamentalpapersthatIwould like to discuss brie?y. The ?rst paper is the doctoral dissertation of Alfred Haar, which was submitted at to University of Gottingen ̈ in July 1907. At that time it was known that the Fourier series expansion of a continuous function may diverge at a given point. Haar wanted to know if this phenomenon happens for every 2 orthonormal basis of L [0,1]. He answered this question by constructing an orthonormal basis (today known as the Haar basis) with the property that the expansion (in this basis) of any continuous function uniformly converges to that function.
In this work, Han and Sawyer extend Littlewood-Paley theory, Besov spaces, and Triebel-Lizorkin spaces to the general setting of a space of homogeneous type. For this purpose, they establish a suitable analogue of the Calder 'on reproducing formula and use it to extend classical results on atomic decomposition, interpolation, and T1 and Tb theorems. Some new results in the classical setting are also obtained: atomic decompositions with vanishing b-moment, and Littlewood-Paley characterizations of Besov and Triebel-Lizorkin spaces with only half the usual smoothness and cancellation conditions on the approximate identity.
Modern economics come from western countries. They are the mirrors of the economic conditions of these countries and the way they talk about economic phenomena is under the logic of western philosophy. But in fact, as a culture of long history, China has its own "e;classic economics"e;, though it hides behind modern context. The author re-discovers the Chinese classic economics from scriptures and historical records. This book not only contains the academic explanation of a long forgotten economic theory system but also offers us a new prospect to understand the modern world.This area this book covers is unique and totally new. People always consider economics is rather young. But in fact, economic thoughts, which influenced by many different aspects, exist for a long time. This book tries to re-discover the long hidden economic thoughts in ancient Chinese culture. It provides us a new way to understand the model and the unique patterns of modern China's economic behavior.Whenever we refer to economics, whether economics of Adam Smith, Keynes or even Karl Marx, we are always referring to something "e;western"e;. There are few books talking about the economic thoughts in ancient China. This book has few competitors. It will appeal to a worldwide audience of students and scholars of economics.This area this book covers is unique and totally new. People always consider economics is rather young. But in fact, economic thoughts, which influenced by many different aspects, exist for a long time. This book tries to re-discover the long hidden economic thoughts in ancient Chinese culture. It provides us a new way to understand the model and the unique patterns of modern China's economic behavior.Whenever we refer to economics, whether economics of Adam Smith, Keynes or even Karl Marx, we are always referring to something "e;western"e;. There are few books talking about the economic thoughts in ancient China. This book has few competitors. It will appeal to a worldwide audience of students and scholars of economics.
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