This comprehensive book explores the intricate realm of fine potential theory. Delving into the real theory, it navigates through harmonic and subharmonic functions, addressing the famed Dirichlet problem within finely open sets of R^n. T...Lasīt vairāk
(Izdošanas datums: 30-Dec-2024, Hardback, Izdevniecība: De Gruyter, ISBN-13: 9783110725964)
This monograph is devoted to harmonic analysis and potential theory. The authors study these essentials carefully and present recent researches based on the papers including by authors in an accessible manner for graduate students and researchers...Lasīt vairāk
Sērija : Contemporary Mathematics And Its Applications: Monographs, Expositions And Lecture Notes
(Izdošanas datums: 15-Nov-2024, Paperback / softback, Izdevniecība: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789811294778)
In this book, potential theory is presented in an inclusive and accessible manner, with the emphasis reaching from classical to modern, from analytic to probabilistic, and from Newtonian to abstract or axiomatic potential theory (including Dirichlet...Lasīt vairāk
Sērija : Contemporary Mathematics And Its Applications: Monographs, Expositions And Lecture Notes
(Izdošanas datums: 15-Nov-2024, Hardback, Izdevniecība: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789811294310)
In this book, potential theory is presented in an inclusive and accessible manner, with the emphasis reaching from classical to modern, from analytic to probabilistic, and from Newtonian to abstract or axiomatic potential theory (including Dirichlet...Lasīt vairāk
The Cauchy Transform, Potential Theory and Conformal Mapping explores the most central result in all of classical function theory, the Cauchy integral formula, in a new and novel way based on an advance made by Kerzman and Stein i...Lasīt vairāk
Marco Cirant, F. Reese Harvey, H. Blaine Lawson, Kevin R. Payne
Sērija : Annals of Mathematics Studies
(Izdošanas datums: 03-Oct-2023, Hardback, Izdevniecība: Princeton University Press, ISBN-13: 9780691243610)
An examination of the symbiotic and productive relationship between fully nonlinear partial differential equations and generalized potential theories. In recent years, there has evolved a symbiotic and productive relationship between fully nonlinear...Lasīt vairāk
An examination of the symbiotic and productive relationship between fully nonlinear partial differential equations and generalized potential theoriesIn recent years, there has evolved a symbiotic and productive relationship between...Lasīt vairāk
We derive generalizations of McShanes identity for higher ranked surface group representations by studying a family of mapping class group invariant functions introduced by Goncharov and Shen, which generalize the notion of horocycle lengths. In pa...Lasīt vairāk
Discusses advances in maximal function methods related to Poincare and Sobolev inequalities, pointwise estimates and approximation for Sobolev functions, Hardys inequalities, and partial differential equations....Lasīt vairāk
Akman and colleagues study two classical potential-theoretic problems in convex geometry. The first problem in an inequality of Brunn-Minkowski type for a nonlinear capacity, CapA, where A-capacity is associated with a nonlinear elliptic partial...Lasīt vairāk
Although the analysis of scattering for closed bodies of simple geometric shape is well developed, structures with edges, cavities, or inclusions have seemed, until now, intractable to analytical methods. This two-volume set describes a breakthrough...Lasīt vairāk
Although the analysis of scattering for closed bodies of simple geometric shape is well developed, structures with edges, cavities, or inclusions have seemed, until now, intractable to analytical methods. This two-volume set describes a breakthrough...Lasīt vairāk
Jaye and colleagues characterize the non-negative locally finite non-atomic Borel measures in Rd for which the associated s-Riesz transform is bounded in L2(µ) in terms of the Wolff energy. This extends the range of s in which the Mateu-Prat-Verd...Lasīt vairāk
This self-contained book lays the foundations for a systematic understanding of potential theoretic and uniformization problems on fractal Sierpinski carpets, and proposes a theory based on the latest developments in the field of analysis on metri...Lasīt vairāk
This monograph develops the Gaussian functional capacity theory with applications to restricting the Gaussian Campanato/Sobolev/BV space....Lasīt vairāk
(Izdošanas datums: 30-Aug-2018, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9781470437800)
Khavinson and Lundberg introduce linear holomorphic partial differential equations and classical potential theory to graduate students and young analysts who may have had no previous exposure to them, but are familiar with multivariate calculus a...Lasīt vairāk
A self-contained treatment appropriate for advanced undergraduate and graduate students, this volume offers a detailed development of the necessary background for its survey of the nonlinear potential theory of superharmonic functions.Starting wi...Lasīt vairāk
(Izdošanas datums: 24-Apr-2018, Hardback, Izdevniecība: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789813227972)
In virtue of its features, Bohms quantum potential introduces interesting and relevant perspectives towards a satisfactory geometrodynamic description of quantum processes. This book makes a comprehensive state-of-the-art review of some of the most...Lasīt vairāk
This volume highlights the main results of the research performed within the network Harmonic and Complex Analysis and its Applications (HCAA), which was a five-year (2007-2012) European Science Foundation Programme intended to explore and to stren...Lasīt vairāk
A new edition of this book explores more theorems than ever that may be deduced from simple facts about the Cauchy integral formula, the most central result in all of classical function theory. The book provides new numerical methods for computing...Lasīt vairāk
The analysis of PDEs is a prominent discipline in mathematics research, both in terms of its theoretical aspects and its relevance in applications. In recent years, the geometric properties of linear and nonlinear second order PDEs of elliptic and...Lasīt vairāk
This book, which is based on several courses of lectures given by the author at the Independent University of Moscow, is devoted to Sobolev-type spaces and boundary value problems for linear elliptic partial differential equations. Its main focus...Lasīt vairāk
The structure of the set of all the invariant probabilities and the structure of various types of individual invariant probabilities of a transition function are two topics of significant interest in the theory of transition functions, and are stu...Lasīt vairāk
This book, which is based on several courses of lectures given by the author at the Independent University of Moscow, is devoted to Sobolev-type spaces and boundary value problems for linear elliptic partial differential equations. Its main focus...Lasīt vairāk
This detailed explanation of Burkholders method presents, for most estimates, the steps leading to the discovery of the corresponding special functions, and deploys diverse analytic and probabilistic methods to solve the corresponding boundary value...Lasīt vairāk
The structure of the set of all the invariant probabilities and the structure of various types of individual invariant probabilities of a transition function are two topics of significant interest in the theory of transition functions, and are stu...Lasīt vairāk
Potential Theory presents a clear path from calculus to classical potential theory and beyond, with the aim of moving the reader into the area of mathematical research as quickly as possible. The subject matter is developed from first princ...Lasīt vairāk
This volume highlights the main results of the research performed within the network Harmonic and Complex Analysis and its Applications (HCAA), which was a five-year (20072012) European Science Foundation Programme intended to explore and to st...Lasīt vairāk
(Izdošanas datums: 20-Sep-2013, Paperback / softback, Izdevniecība: Springer-Verlag New York Inc., ISBN-13: 9781461482079)
Šī grāmata vairs netiek publicēta. Jums tiks paziņota lietotas grāmatas cena
?The theory of distributions constitutes an essential tool in the study of partial differential equations. This textbook would offer, in a concise, largely self-contained form, a rapid introduction to the theory of distributions and its applications...Lasīt vairāk
From a June 2011 international conference in Montreal, 24 surveys and research papers explore a wide range of topics relating to complex analysis and potential theory. Among them are a simple numerical approach to the Riemann hypothesis, aunifying co...Lasīt vairāk
Alano Ancona, K. David Elworthy, Michel Emery, Hiroshi Kunita
Sērija : Probability at Saint-Flour
(Izdošanas datums: 22-Dec-2012, Paperback / softback, Izdevniecība: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, ISBN-13: 9783642341700)
Kunita, H.:Stochastic differential equations and stochastic flows of diffeomorphisms.-Elworthy, D.: Geometric aspects of diffusions on manifolds.-Ancona, A.:Théorie du potential sur les graphs et les variétiés.-Emery, M.:Co...Lasīt vairāk
(Izdošanas datums: 27-Nov-2013, Paperback / softback, Izdevniecība: Springer-Verlag New York Inc., ISBN-13: 9781461374282)
Line and hyperplane location problems play an important role not only in operations research and location theory, but also in computational geometry and robust statistics. This book provides a survey on line and hyperplane location combining analy...Lasīt vairāk
This work explores and presents the principles of surface potential theory for the sphere, in addition to those in the Euclidean space R3, and breaks new mathematical ground in dealing generically with potential theoretic aspects of gravitation an...Lasīt vairāk
This book contains the proceedings of the conference Fractals in Graz 2001 - Analysis, Dynamics, Geometry, Stochastics that was held in June 2001 at Graz University of Technology, Styria, Austria. The volume presents a multitude of different direct...Lasīt vairāk
This detailed explanation of Burkholders method presents, for most estimates, the steps leading to the discovery of the corresponding special functions, and deploys diverse analytic and probabilistic methods to solve the corresponding boundary value...Lasīt vairāk
(Izdošanas datums: 01-Aug-2012, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9780821889817)
Kresin (Ariel U.) and Mazya (U. of Liverpool) examine necessary and sufficient conditions for validity of the classical maximum modulus principles of strongly elliptical systems of the second order and systems of parabolic equations. The first part...Lasīt vairāk
(Izdošanas datums: 30-May-2012, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9780821849989)
This is the first book to be devoted entirely to the potential theory of the heat equation, and thus deals with time dependent potential theory. Its purpose is to give a logical, mathematically precise introduction to a subject where previously many...Lasīt vairāk
(Izdošanas datums: 29-Apr-2013, Paperback / softback, Izdevniecība: Springer-Verlag New York Inc., ISBN-13: 9781441929631)
This book provides a broad overview of the basic theory and methods of applied multivariate analysis. The presentation integrates both theory and practice including both the analysis of formal linear multivariate models and exploratory data analysis...Lasīt vairāk
Panos M. Pardalos, Themistocles M. Rassias, Akhtar A. Khan
Sērija : Springer Optimization and Its Applications
(Izdošanas datums: 25-Feb-2012, Paperback / softback, Izdevniecība: Springer-Verlag New York Inc., ISBN-13: 9781461424819)
The chapters in this volume, written by international experts from different fields of mathematics, are devoted to honoring George Isac, a renowned mathematician. These contributions focus on recent developments in complementarity theory, variational...Lasīt vairāk
Sērija : Grundlehren der mathematischen Wissenschaften
(Izdošanas datums: 22-Dec-2012, Paperback / softback, Izdevniecība: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, ISBN-13: 9783642633812)
In recent years, the study of the theory of Brownian motion has become a powerful tool in the solution of problems in mathematical physics. This self-contained and readable exposition by leading authors, provides a rigorous account of the subject, em...Lasīt vairāk
A NATO Advanced Research Workshop on Classical and Modern Potential The ory and Applications was held at the Chateau de Bonas, France, during the last week of July 1993. The workshop was organized by the Co-Directors M. Goldstein (Ari zona) and K....Lasīt vairāk
V.G. Maz'ya, Albrecht Böttcher, S. M. Nikol'skii, Siegfried Prößdorf
Sērija : Encyclopaedia of Mathematical Sciences
(Izdošanas datums: 01-Nov-2012, Paperback / softback, Izdevniecība: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, ISBN-13: 9783642634918)
A linear integral equation is an equation of the form XEX. (1) 2a(x)cp(x) - Ix k(x, y)cp(y)dv(y) = f(x), Here (X, v) is a measure space with a-finite measure v, 2 is a complex parameter, and a, k, f are given (complex-valued) functions, which are ref...Lasīt vairāk
Exactly one hundred years ago, in 1895, G. de Vries, under the supervision of D. J. Korteweg, defended his thesis on what is now known as the Korteweg-de Vries Equation. They published a joint paper in 1895 in the Philosophical Magazine,...Lasīt vairāk
G.M. Khenkin, V.S. Vladimirov, P.M. Gauthier, L.A. Aizenberg, A.G. Vitushkin, J.R. King, A.B. Aleksandrov, A. Sadullaev, A.G. Sergeev, A.K. Tsikh...
Sērija : Encyclopaedia of Mathematical Sciences
(Izdošanas datums: 14-Oct-2012, Paperback / softback, Izdevniecība: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, ISBN-13: 9783642633911)
Plurisubharmonic functions playa major role in the theory of functions of several complex variables. The extensiveness of plurisubharmonic functions, the simplicity of their definition together with the richness of their properties and. most importan...Lasīt vairāk
Many special functions occuring in physics and partial differential equations can be represented by integral transformatIons: the fundamental solutions of many PDEs, Newton-Coulomb potentials, hypergeometric functions, Feynman integrals, initial dat...Lasīt vairāk
