Lectures on Balayage

Download Lectures on Balayage PDF Online Free

Author :
Publisher :
ISBN 13 :
Total Pages : 43 pages
Book Rating : 4.:/5 (186 download)

DOWNLOAD NOW!


Book Synopsis Lectures on Balayage by : Björn Gustafsson

Download or read book Lectures on Balayage written by Björn Gustafsson and published by . This book was released on 2003 with total page 43 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fourier Analysis in Several Complex Variables

Download Fourier Analysis in Several Complex Variables PDF Online Free

Author :
Publisher : Courier Corporation
ISBN 13 : 0486153037
Total Pages : 532 pages
Book Rating : 4.4/5 (861 download)

DOWNLOAD NOW!


Book Synopsis Fourier Analysis in Several Complex Variables by : Leon Ehrenpreis

Download or read book Fourier Analysis in Several Complex Variables written by Leon Ehrenpreis and published by Courier Corporation. This book was released on 2011-11-30 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: Suitable for advanced undergraduates and graduate students, this text develops comparison theorems to establish the fundamentals of Fourier analysis and to illustrate their applications to partial differential equations. 1970 edition.

Analysis on Fock Spaces

Download Analysis on Fock Spaces PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1441988017
Total Pages : 350 pages
Book Rating : 4.4/5 (419 download)

DOWNLOAD NOW!


Book Synopsis Analysis on Fock Spaces by : Kehe Zhu

Download or read book Analysis on Fock Spaces written by Kehe Zhu and published by Springer Science & Business Media. This book was released on 2012-05-26 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: Several natural Lp spaces of analytic functions have been widely studied in the past few decades, including Hardy spaces, Bergman spaces, and Fock spaces. The terms “Hardy spaces” and “Bergman spaces” are by now standard and well established. But the term “Fock spaces” is a different story. Numerous excellent books now exist on the subject of Hardy spaces. Several books about Bergman spaces, including some of the author’s, have also appeared in the past few decades. But there has been no book on the market concerning the Fock spaces. The purpose of this book is to fill that void, especially when many results in the subject are complete by now. This book presents important results and techniques summarized in one place, so that new comers, especially graduate students, have a convenient reference to the subject. This book contains proofs that are new and simpler than the existing ones in the literature. In particular, the book avoids the use of the Heisenberg group, the Fourier transform, and the heat equation. This helps to keep the prerequisites to a minimum. A standard graduate course in each of real analysis, complex analysis, and functional analysis should be sufficient preparation for the reader.

Classical and Stochastic Laplacian Growth

Download Classical and Stochastic Laplacian Growth PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 3319082876
Total Pages : 329 pages
Book Rating : 4.3/5 (19 download)

DOWNLOAD NOW!


Book Synopsis Classical and Stochastic Laplacian Growth by : Björn Gustafsson

Download or read book Classical and Stochastic Laplacian Growth written by Björn Gustafsson and published by Springer. This book was released on 2014-11-14 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph covers a multitude of concepts, results, and research topics originating from a classical moving-boundary problem in two dimensions (idealized Hele-Shaw flows, or classical Laplacian growth), which has strong connections to many exciting modern developments in mathematics and theoretical physics. Of particular interest are the relations between Laplacian growth and the infinite-size limit of ensembles of random matrices with complex eigenvalues; integrable hierarchies of differential equations and their spectral curves; classical and stochastic Löwner evolution and critical phenomena in two-dimensional statistical models; weak solutions of hyperbolic partial differential equations of singular-perturbation type; and resolution of singularities for compact Riemann surfaces with anti-holomorphic involution. The book also provides an abundance of exact classical solutions, many explicit examples of dynamics by conformal mapping as well as a solid foundation of potential theory. An extensive bibliography covering over twelve decades of results and an introduction rich in historical and biographical details complement the eight main chapters of this monograph. Given its systematic and consistent notation and background results, this book provides a self-contained resource. It is accessible to a wide readership, from beginner graduate students to researchers from various fields in natural sciences and mathematics.

The Mother Body Phase Transition in the Normal Matrix Model

Download The Mother Body Phase Transition in the Normal Matrix Model PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 1470441845
Total Pages : 144 pages
Book Rating : 4.4/5 (74 download)

DOWNLOAD NOW!


Book Synopsis The Mother Body Phase Transition in the Normal Matrix Model by : Pavel M. Bleher

Download or read book The Mother Body Phase Transition in the Normal Matrix Model written by Pavel M. Bleher and published by American Mathematical Soc.. This book was released on 2020-09-28 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this present paper, the authors consider the normal matrix model with cubic plus linear potential.

Hyponormal Quantization of Planar Domains

Download Hyponormal Quantization of Planar Domains PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 3319658107
Total Pages : 152 pages
Book Rating : 4.3/5 (196 download)

DOWNLOAD NOW!


Book Synopsis Hyponormal Quantization of Planar Domains by : Björn Gustafsson

Download or read book Hyponormal Quantization of Planar Domains written by Björn Gustafsson and published by Springer. This book was released on 2017-09-29 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book exploits the classification of a class of linear bounded operators with rank-one self-commutators in terms of their spectral parameter, known as the principal function. The resulting dictionary between two dimensional planar shapes with a degree of shade and Hilbert space operators turns out to be illuminating and beneficial for both sides. An exponential transform, essentially a Riesz potential at critical exponent, is at the heart of this novel framework; its best rational approximants unveil a new class of complex orthogonal polynomials whose asymptotic distribution of zeros is thoroughly studied in the text. Connections with areas of potential theory, approximation theory in the complex domain and fluid mechanics are established. The text is addressed, with specific aims, at experts and beginners in a wide range of areas of current interest: potential theory, numerical linear algebra, operator theory, inverse problems, image and signal processing, approximation theory, mathematical physics.

Lectures on Choquet's Theorem

Download Lectures on Choquet's Theorem PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3540418342
Total Pages : 123 pages
Book Rating : 4.5/5 (44 download)

DOWNLOAD NOW!


Book Synopsis Lectures on Choquet's Theorem by : Robert R. Phelps

Download or read book Lectures on Choquet's Theorem written by Robert R. Phelps and published by Springer Science & Business Media. This book was released on 2001-05-08 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt: A well written, readable and easily accessible introduction to "Choquet theory", which treats the representation of elements of a compact convex set as integral averages over extreme points of the set. The interest in this material arises both from its appealing geometrical nature as well as its extraordinarily wide range of application to areas ranging from approximation theory to ergodic theory. Many of these applications are treated in this book. This second edition is an expanded and updated version of what has become a classic basic reference in the subject.

Laplacian Growth on Branched Riemann Surfaces

Download Laplacian Growth on Branched Riemann Surfaces PDF Online Free

Author :
Publisher : Springer Nature
ISBN 13 : 3030698637
Total Pages : 156 pages
Book Rating : 4.0/5 (36 download)

DOWNLOAD NOW!


Book Synopsis Laplacian Growth on Branched Riemann Surfaces by : Björn Gustafsson

Download or read book Laplacian Growth on Branched Riemann Surfaces written by Björn Gustafsson and published by Springer Nature. This book was released on 2021-03-22 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book studies solutions of the Polubarinova–Galin and Löwner–Kufarev equations, which describe the evolution of a viscous fluid (Hele-Shaw) blob, after the time when these solutions have lost their physical meaning due to loss of univalence of the mapping function involved. When the mapping function is no longer locally univalent interesting phase transitions take place, leading to structural changes in the data of the solution, for example new zeros and poles in the case of rational maps. This topic intersects with several areas, including mathematical physics, potential theory and complex analysis. The text will be valuable to researchers and doctoral students interested in fluid dynamics, integrable systems, and conformal field theory.

Quadrature Domains and Their Applications

Download Quadrature Domains and Their Applications PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3764373164
Total Pages : 298 pages
Book Rating : 4.7/5 (643 download)

DOWNLOAD NOW!


Book Synopsis Quadrature Domains and Their Applications by : Peter Ebenfelt

Download or read book Quadrature Domains and Their Applications written by Peter Ebenfelt and published by Springer Science & Business Media. This book was released on 2006-03-10 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quadrature domains were singled out about 30 years ago by D. Aharonov and H.S. Shapiro in connection with an extremal problem in function theory. Since then, a series of coincidental discoveries put this class of planar domains at the center of crossroads of several quite independent mathematical theories, e.g., potential theory, Riemann surfaces, inverse problems, holomorphic partial differential equations, fluid mechanics, operator theory. The volume is devoted to recent advances in the theory of quadrature domains, illustrating well the multi-facet aspects of their nature. The book contains a large collection of open problems pertaining to the general theme of quadrature domains.

Sampling Theory, a Renaissance

Download Sampling Theory, a Renaissance PDF Online Free

Author :
Publisher : Birkhäuser
ISBN 13 : 3319197495
Total Pages : 532 pages
Book Rating : 4.3/5 (191 download)

DOWNLOAD NOW!


Book Synopsis Sampling Theory, a Renaissance by : Götz E. Pfander

Download or read book Sampling Theory, a Renaissance written by Götz E. Pfander and published by Birkhäuser. This book was released on 2015-12-08 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reconstructing or approximating objects from seemingly incomplete information is a frequent challenge in mathematics, science, and engineering. A multitude of tools designed to recover hidden information are based on Shannon’s classical sampling theorem, a central pillar of Sampling Theory. The growing need to efficiently obtain precise and tailored digital representations of complex objects and phenomena requires the maturation of available tools in Sampling Theory as well as the development of complementary, novel mathematical theories. Today, research themes such as Compressed Sensing and Frame Theory re-energize the broad area of Sampling Theory. This volume illustrates the renaissance that the area of Sampling Theory is currently experiencing. It touches upon trendsetting areas such as Compressed Sensing, Finite Frames, Parametric Partial Differential Equations, Quantization, Finite Rate of Innovation, System Theory, as well as sampling in Geometry and Algebraic Topology.

Conformal and Potential Analysis in Hele-Shaw Cells

Download Conformal and Potential Analysis in Hele-Shaw Cells PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3764377046
Total Pages : 235 pages
Book Rating : 4.7/5 (643 download)

DOWNLOAD NOW!


Book Synopsis Conformal and Potential Analysis in Hele-Shaw Cells by : Björn Gustafsson

Download or read book Conformal and Potential Analysis in Hele-Shaw Cells written by Björn Gustafsson and published by Springer Science & Business Media. This book was released on 2006-08-13 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents recent and new ideas arising from the study of problems of planar fluid dynamics, and which are interesting from the point of view of geometric function theory and potential theory. the book is concerned with geometric problems for Hele-Shaw flows. Additionally, Hele-Shaw flows on parameter spaces are discussed, and connections with string theory are revealed. Assumes a graduate level understanding of real and complex analysis, and fluid mechanics.

Henri Poincaré

Download Henri Poincaré PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1461424070
Total Pages : 266 pages
Book Rating : 4.4/5 (614 download)

DOWNLOAD NOW!


Book Synopsis Henri Poincaré by : Ferdinand Verhulst

Download or read book Henri Poincaré written by Ferdinand Verhulst and published by Springer Science & Business Media. This book was released on 2012-08-11 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book describes the life of Henri Poincaré, his work style and in detail most of his unique achievements in mathematics and physics. Apart from biographical details, attention is given to Poincaré's contributions to automorphic functions, differential equations and dynamical systems, celestial mechanics, mathematical physics in particular the theory of the electron and relativity, topology (analysis situs). A chapter on philosophy explains Poincaré's conventionalism in mathematics and his view of conventionalism in physics; the latter has a very different character. In the foundations of mathematics his position is between intuitionism and axiomatics. One of the purposes of the book is to show how Poincaré reached his fundamentally new results in many different fields, how he thought and how one should read him. One of the new aspects is the description of two large fields of his attention: dynamical systems as presented in his book on `new methods for celestial mechanics' and his theoretical physics papers. At the same time it will be made clear how analysis and geometry are intertwined in Poincaré's thinking and work.In dynamical systems this becomes clear in his description of invariant manifolds, his association of differential equation flow with mappings and his fixed points theory. There is no comparable book on Poincaré, presenting such a relatively complete vision of his life and achievements. There exist some older biographies in the French language, but they pay only restricted attention to his actual work. The reader can obtain from this book many insights in the working of a very original mind while at the same time learning about fundamental results for modern science

Lecture notes series

Download Lecture notes series PDF Online Free

Author :
Publisher :
ISBN 13 :
Total Pages : 530 pages
Book Rating : 4.:/5 (319 download)

DOWNLOAD NOW!


Book Synopsis Lecture notes series by :

Download or read book Lecture notes series written by and published by . This book was released on 1963* with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lectures from Markov Processes to Brownian Motion

Download Lectures from Markov Processes to Brownian Motion PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1475717768
Total Pages : 248 pages
Book Rating : 4.4/5 (757 download)

DOWNLOAD NOW!


Book Synopsis Lectures from Markov Processes to Brownian Motion by : Kai Lai Chung

Download or read book Lectures from Markov Processes to Brownian Motion written by Kai Lai Chung and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book evolved from several stacks of lecture notes written over a decade and given in classes at slightly varying levels. In transforming the over lapping material into a book, I aimed at presenting some of the best features of the subject with a minimum of prerequisities and technicalities. (Needless to say, one man's technicality is another's professionalism. ) But a text frozen in print does not allow for the latitude of the classroom; and the tendency to expand becomes harder to curb without the constraints of time and audience. The result is that this volume contains more topics and details than I had intended, but I hope the forest is still visible with the trees. The book begins at the beginning with the Markov property, followed quickly by the introduction of option al times and martingales. These three topics in the discrete parameter setting are fully discussed in my book A Course In Probability Theory (second edition, Academic Press, 1974). The latter will be referred to throughout this book as the Course, and may be considered as a general background; its specific use is limited to the mate rial on discrete parameter martingale theory cited in § 1. 4. Apart from this and some dispensable references to Markov chains as examples, the book is self-contained.

Potential Theory

Download Potential Theory PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1461309816
Total Pages : 352 pages
Book Rating : 4.4/5 (613 download)

DOWNLOAD NOW!


Book Synopsis Potential Theory by : Josef Kral

Download or read book Potential Theory written by Josef Kral and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Within the tradition of meetings devoted to potential theory, a conference on potential theory took place in Prague on 19-24, July 1987. The Conference was organized by the Faculty of Mathematics and Physics, Charles University, with the collaboration of the Institute of Mathematics, Czechoslovak Academy of Sciences, the Department of Mathematics, Czech University of Technology, the Union of Czechoslovak Mathematicians and Physicists, the Czechoslovak Scientific and Technical Society, and supported by IMU. During the Conference, 69 scientific communications from different branches of potential theory were presented; the majority of them are in cluded in the present volume. (Papers based on survey lectures delivered at the Conference, its program as well as a collection of problems from potential theory will appear in a special volume of the Lecture Notes Series published by Springer-Verlag). Topics of these communications truly reflect the vast scope of contemporary potential theory. Some contributions deal with applications in physics and engineering, other concern potential theoretic aspects of function theory and complex analysis. Numerous papers are devoted to the theory of partial differential equations. Included are also many articles on axiomatic and abstract potential theory with its relations to probability theory. The present volume may thus be of intrest to mathematicians speciali zing in the above-mentioned fields and also to everybody interested in the present state of potential theory as a whole.

Brownian Motion and Stochastic Calculus

Download Brownian Motion and Stochastic Calculus PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9780387976556
Total Pages : 500 pages
Book Rating : 4.9/5 (765 download)

DOWNLOAD NOW!


Book Synopsis Brownian Motion and Stochastic Calculus by : Ioannis Karatzas

Download or read book Brownian Motion and Stochastic Calculus written by Ioannis Karatzas and published by Springer Science & Business Media. This book was released on 1991 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: For readers familiar with measure-theoretic probability and discrete time processes, who wish to explore stochastic processes in continuous time. Annotation copyrighted by Book News, Inc., Portland, OR

Finely Harmonic Functions

Download Finely Harmonic Functions PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 354037986X
Total Pages : 192 pages
Book Rating : 4.5/5 (43 download)

DOWNLOAD NOW!


Book Synopsis Finely Harmonic Functions by : Bent Fuglede

Download or read book Finely Harmonic Functions written by Bent Fuglede and published by Springer. This book was released on 2006-11-15 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: