[PDF] On Restrictions Of Functions In The Spaces P Superscript Alpha Superscript P And B Superscript Alpha Superscript P - eBooks Review

On Restrictions Of Functions In The Spaces P Superscript Alpha Superscript P And B Superscript Alpha Superscript P


On Restrictions Of Functions In The Spaces P Superscript Alpha Superscript P And B Superscript Alpha Superscript P
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Theory Of H Superscript P Spaces


Theory Of H Superscript P Spaces
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Author :
language : en
Publisher: Academic Press
Release Date : 1970-07-31

Theory Of H Superscript P Spaces written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970-07-31 with Mathematics categories.


The theory of HP spaces has its origins in discoveries made forty or fifty years ago by such mathematicians as G. H. Hardy, J. E. Littlewood, I. I. Privalov, F. and M. Riesz, V. Smirnov, and G. Szego. Most of this early work is concerned with the properties of individual functions of class HP, and is classical in spirit. In recent years, the development of functional analysis has stimulated new interest in the HP classes as linear spaces. This point of viewhas suggested a variety of natural problems and has provided new methods of attack, leading to important advances in the theory. This book is an account of both aspects of the subject, the classical and the modern. It is intended to provide a convenient source for the older parts of the theory (the work of Hardy and Littlewood, for example), as well as to give a self-contained exposition of more recent developments such as Beurling's theorem on invariant subspaces, the Macintyre-RogosinskiShapiro-Havinson theory of extremal problems, interpolation theory, the dual space structure of HP with p



On Restrictions Of Functions In The Spaces P Superscript Alpha Superscript P And B Superscript Alpha Superscript P


On Restrictions Of Functions In The Spaces P Superscript Alpha Superscript P And B Superscript Alpha Superscript P
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Author : P. Szeptycki
language : en
Publisher:
Release Date : 1964

On Restrictions Of Functions In The Spaces P Superscript Alpha Superscript P And B Superscript Alpha Superscript P written by P. Szeptycki and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Bessel functions categories.




Scientific And Technical Aerospace Reports


Scientific And Technical Aerospace Reports
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Author :
language : en
Publisher:
Release Date : 1988-11

Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-11 with Aeronautics categories.




Discrete Energy On Rectifiable Sets


Discrete Energy On Rectifiable Sets
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Author : Sergiy V. Borodachov
language : en
Publisher: Springer Nature
Release Date : 2019-10-31

Discrete Energy On Rectifiable Sets written by Sergiy V. Borodachov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-31 with Mathematics categories.


This book aims to provide an introduction to the broad and dynamic subject of discrete energy problems and point configurations. Written by leading authorities on the topic, this treatise is designed with the graduate student and further explorers in mind. The presentation includes a chapter of preliminaries and an extensive Appendix that augments a course in Real Analysis and makes the text self-contained. Along with numerous attractive full-color images, the exposition conveys the beauty of the subject and its connection to several branches of mathematics, computational methods, and physical/biological applications. This work is destined to be a valuable research resource for such topics as packing and covering problems, generalizations of the famous Thomson Problem, and classical potential theory in Rd. It features three chapters dealing with point distributions on the sphere, including an extensive treatment of Delsarte–Yudin–Levenshtein linear programming methods for lower bounding energy, a thorough treatment of Cohn–Kumar universality, and a comparison of 'popular methods' for uniformly distributing points on the two-dimensional sphere. Some unique features of the work are its treatment of Gauss-type kernels for periodic energy problems, its asymptotic analysis of minimizing point configurations for non-integrable Riesz potentials (the so-called Poppy-seed bagel theorems), its applications to the generation of non-structured grids of prescribed densities, and its closing chapter on optimal discrete measures for Chebyshev (polarization) problems.



Heat Conduction As An Equivalent Eigenvalue Problem


Heat Conduction As An Equivalent Eigenvalue Problem
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Author : John H. Lynch
language : en
Publisher:
Release Date : 1967

Heat Conduction As An Equivalent Eigenvalue Problem written by John H. Lynch and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with categories.




Control Theory Of Partial Differential Equations


Control Theory Of Partial Differential Equations
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Author : Guenter Leugering
language : en
Publisher: CRC Press
Release Date : 2005-05-27

Control Theory Of Partial Differential Equations written by Guenter Leugering and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-05-27 with Mathematics categories.


The field of control theory in PDEs has broadened considerably as more realistic models have been introduced and investigated. This book presents a broad range of recent developments, new discoveries, and mathematical tools in the field. The authors discuss topics such as elasticity, thermo-elasticity, aero-elasticity, interactions between fluids a



Inelastic Analysis Of Structures Under Variable Loads


Inelastic Analysis Of Structures Under Variable Loads
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Author : Dieter Weichert
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Inelastic Analysis Of Structures Under Variable Loads written by Dieter Weichert and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.


The question whether a structure or a machine component can carry the applied loads, and with which margin of safety, or whether it will become unserviceable due to collapse or excessive inelastic deformations, has always been a major concern for civil and mechanical engineers. The development of methods to answer this technologically crucial question without analysing the evolution of the system under varying loads, has a long tradition that can be traced back even to the times of emerging mechanical sciences in the early 17th century. However, the scientific foundations of the theories underlying these methods, nowadays frequently called "direct", were established sporadically in the Thirties of the 20th century and systematically and rigorously in the Fifties. Further motivations for the development of direct analysis techniques in applied mechanics of solids and structures arise from the circumstance that in many engineering situations the external actions fluctuate according to time histories not a priori known except for some essential features, e.g. variation intervals. In such situations the critical events (or "limit states") to consider, besides plastic collapse, are incremental collapse (or "ratchetting") and alternating plastic yielding, namely lack of "shakedown". Non evolutionary, direct methods for ultimate limit state analysis of structures subjected to variably-repeated external actions are the objectives of most papers collected in this book, which also contains a few contributions on related topics.



Numerical Simulation In Hydraulic Fracturing Multiphysics Theory And Applications


Numerical Simulation In Hydraulic Fracturing Multiphysics Theory And Applications
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Author : Xinpu Shen
language : en
Publisher: CRC Press
Release Date : 2017-03-27

Numerical Simulation In Hydraulic Fracturing Multiphysics Theory And Applications written by Xinpu Shen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-27 with Science categories.


The expansion of unconventional petroleum resources in the recent decade and the rapid development of computational technology have provided the opportunity to develop and apply 3D numerical modeling technology to simulate the hydraulic fracturing of shale and tight sand formations. This book presents 3D numerical modeling technologies for hydraulic fracturing developed in recent years, and introduces solutions to various 3D geomechanical problems related to hydraulic fracturing. In the solution processes of the case studies included in the book, fully coupled multi-physics modeling has been adopted, along with innovative computational techniques, such as submodeling. In practice, hydraulic fracturing is an essential project component in shale gas/oil development and tight sand oil, and provides an essential measure in the process of drilling cuttings reinjection (CRI). It is also an essential measure for widened mud weight window (MWW) when drilling through naturally fractured formations; the process of hydraulic plugging is a typical application of hydraulic fracturing. 3D modeling and numerical analysis of hydraulic fracturing is essential for the successful development of tight oil/gas formations: it provides accurate solutions for optimized stage intervals in a multistage fracking job. It also provides optimized well-spacing for the design of zipper-frac wells. Numerical estimation of casing integrity under stimulation injection in the hydraulic fracturing process is one of major concerns in the successful development of unconventional resources. This topic is also investigated numerically in this book. Numerical solutions to several other typical geomechanics problems related to hydraulic fracturing, such as fluid migration caused by fault reactivation and seismic activities, are also presented. This book can be used as a reference textbook to petroleum, geotechnical and geothermal engineers, to senior undergraduate, graduate and postgraduate students, and to geologists, hydrogeologists, geophysicists and applied mathematicians working in this field. This book is also a synthetic compendium of both the fundamentals and some of the most advanced aspects of hydraulic fracturing technology.



Symmetric Spaces And The Kashiwara Vergne Method


Symmetric Spaces And The Kashiwara Vergne Method
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Author : François Rouvière
language : en
Publisher: Springer
Release Date : 2014-10-14

Symmetric Spaces And The Kashiwara Vergne Method written by François Rouvière and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-14 with Mathematics categories.


Gathering and updating results scattered in journal articles over thirty years, this self-contained monograph gives a comprehensive introduction to the subject. Its goal is to: - motivate and explain the method for general Lie groups, reducing the proof of deep results in invariant analysis to the verification of two formal Lie bracket identities related to the Campbell-Hausdorff formula (the "Kashiwara-Vergne conjecture"); - give a detailed proof of the conjecture for quadratic and solvable Lie algebras, which is relatively elementary; - extend the method to symmetric spaces; here an obstruction appears, embodied in a single remarkable object called an "e-function"; - explain the role of this function in invariant analysis on symmetric spaces, its relation to invariant differential operators, mean value operators and spherical functions; - give an explicit e-function for rank one spaces (the hyperbolic spaces); - construct an e-function for general symmetric spaces, in the spirit of Kashiwara and Vergne's original work for Lie groups. The book includes a complete rewriting of several articles by the author, updated and improved following Alekseev, Meinrenken and Torossian's recent proofs of the conjecture. The chapters are largely independent of each other. Some open problems are suggested to encourage future research. It is aimed at graduate students and researchers with a basic knowledge of Lie theory.



Effect Of The Ionosphere On Space Systems And Communications


Effect Of The Ionosphere On Space Systems And Communications
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Author :
language : en
Publisher:
Release Date : 1975

Effect Of The Ionosphere On Space Systems And Communications written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Astronautics categories.