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Soil water constants --- Soil water constants --- Soil water potential --- Soil water potential --- Models --- Models
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Groundwater --- Water quality --- Water --- Pollution --- Measurement. --- Pollution potential
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Groundwater --- Water quality --- Water --- Pollution --- Measurement. --- Pollution potential
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2012 --- Global Renaissance --- human potential --- spirituality --- human history --- New Age
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Groundwater --- Water quality --- Water --- Pollution --- Measurement. --- Pollution potential
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Groundwater --- Water quality --- Water --- Pollution --- Measurement. --- Pollution potential
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In this book an account of the growth theory of subharmonic functions is given, which is directed towards its applications to entire functions of one and several complex variables. The presentation aims at converting the noble art of constructing an entire function with prescribed asymptotic behaviour to a handicraft. For this one should only construct the limit set that describes the asymptotic behaviour of the entire function. All necessary material is developed within the book, hence it will be most useful as a reference book for the construction of entire functions.
Electronic books. -- local. --- Potential theory (Mathematics). --- Subharmonic functions. --- Subharmonic functions --- Operations Research --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Potential theory (Mathematics) --- Green's operators --- Green's theorem --- Potential functions (Mathematics) --- Potential, Theory of --- Functions, Subharmonic --- Mathematics. --- Potential Theory. --- Mathematical analysis --- Mechanics --- Functions of real variables
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This book is intended as an introduction to harmonic analysis and generalized Gelfand pairs. Starting with the elementary theory of Fourier series and Fourier integrals, the author proceeds to abstract harmonic analysis on locally compact abelian groups and Gelfand pairs. Finally a more advanced theory of generalized Gelfand pairs is developed. This book is aimed at advanced undergraduates or beginning graduate students. The scope of the book is limited, with the aim of enabling students to reach a level suitable for starting PhD research. The main prerequisites for the book are elementary real, complex and functional analysis. In the later chapters, familiarity with some more advanced functional analysis is assumed, in particular with the spectral theory of (unbounded) self-adjoint operators on a Hilbert space. From the contents Fourier series Fourier integrals Locally compact groups Haar measures Harmonic analysis on locally compact abelian groups Theory and examples of Gelfand pairs Theory and examples of generalized Gelfand pairs
Harmonic analysis. --- Fourier analysis. --- Analysis, Fourier --- Analysis (Mathematics) --- Functions, Potential --- Potential functions --- Mathematical analysis --- Banach algebras --- Calculus --- Mathematics --- Bessel functions --- Fourier series --- Harmonic functions --- Time-series analysis --- Generalized Gelfand Pairs. --- Harmonic Analysis. --- Locally Compact Abelian Groups.
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Serge Alinhac (1948–) received his PhD from l'Université Paris-Sud XI (Orsay). After teaching at l'Université Paris Diderot VII and Purdue University, he has been a professor of mathematics at l'Université Paris-Sud XI (Orsay) since 1978. He is the author of Blowup for Nonlinear Hyperbolic Equations (Birkhäuser, 1995) and Pseudo-differential Operators and the Nash–Moser Theorem (with P. Gérard, American Mathematical Society, 2007). His primary areas of research are linear and nonlinear partial differential equations. This excellent introduction to hyperbolic differential equations is devoted to linear equations and symmetric systems, as well as conservation laws. The book is divided into two parts. The first, which is intuitive and easy to visualize, includes all aspects of the theory involving vector fields and integral curves; the second describes the wave equation and its perturbations for two- or three-space dimensions. Over 100 exercises are included, as well as "do it yourself" instructions for the proofs of many theorems. Only an understanding of differential calculus is required. Notes at the end of the self-contained chapters, as well as references at the end of the book, enable ease-of-use for both the student and the independent researcher.
Differential equations, Hyperbolic. --- Differential equations, Hyperbolic --- Mathematics --- Physical Sciences & Mathematics --- Calculus --- Differential equations, Partial. --- Hyperbolic differential equations --- Partial differential equations --- Mathematics. --- Mathematical analysis. --- Analysis (Mathematics). --- Partial differential equations. --- Potential theory (Mathematics). --- Analysis. --- Partial Differential Equations. --- Potential Theory. --- Green's operators --- Green's theorem --- Potential functions (Mathematics) --- Potential, Theory of --- Mathematical analysis --- Mechanics --- 517.1 Mathematical analysis --- Math --- Science --- Differential equations, Partial --- Global analysis (Mathematics). --- Differential equations, partial. --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic
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Stable Lévy processes and related stochastic processes play an important role in stochastic modelling in applied sciences, in particular in financial mathematics. This book is about the potential theory of stable stochastic processes. It also deals with related topics, such as the subordinate Brownian motions (including the relativistic process) and Feynman–Kac semigroups generated by certain Schroedinger operators. The authors focus on classes of stable and related processes that contain the Brownian motion as a special case. This is the first book devoted to the probabilistic potential theory of stable stochastic processes, and, from the analytical point of view, of the fractional Laplacian. The introduction is accessible to non-specialists and provides a general presentation of the fundamental objects of the theory. Besides recent and deep scientific results the book also provides a didactic approach to its topic, as all chapters have been tested on a wide audience, including young mathematicians at a CNRS/HARP Workshop, Angers 2006. The reader will gain insight into the modern theory of stable and related processes and their potential analysis with a theoretical motivation for the study of their fine properties.
Functional analysis. --- Potential theory (Mathematics). --- Stochastic process. --- Potential theory (Mathematics) --- Functional analysis --- Civil & Environmental Engineering --- Mathematics --- Mathematical Statistics --- Operations Research --- Engineering & Applied Sciences --- Physical Sciences & Mathematics --- Green's operators --- Green's theorem --- Potential functions (Mathematics) --- Potential, Theory of --- Functional calculus --- Mathematics. --- Mathematical models. --- Probabilities. --- Probability Theory and Stochastic Processes. --- Mathematical Modeling and Industrial Mathematics. --- Potential Theory. --- Probability --- Statistical inference --- Combinations --- Chance --- Least squares --- Mathematical statistics --- Risk --- Models, Mathematical --- Simulation methods --- Mathematical analysis --- Mechanics --- Math --- Science --- Calculus of variations --- Functional equations --- Integral equations --- Distribution (Probability theory. --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Analyse fonctionnelle.
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