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Moment Theory And Some Inverse Problems In Potential Theory And Heat Conduction


Moment Theory And Some Inverse Problems In Potential Theory And Heat Conduction
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Moment Theory And Some Inverse Problems In Potential Theory And Heat Conduction


Moment Theory And Some Inverse Problems In Potential Theory And Heat Conduction
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Author : Dang D. Ang
language : en
Publisher: Springer
Release Date : 2004-10-13

Moment Theory And Some Inverse Problems In Potential Theory And Heat Conduction written by Dang D. Ang and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-13 with Mathematics categories.


Moment Theory is not a new subject; however, in classical treatments, the ill-posedness of the problem is not taken into account - hence this monograph. Assuming a "true" solution to be uniquely determined by a sequence of moments (given as integrals) of which only finitely many are inaccurately given, the authors describe and analyze several regularization methods and derive stability estimates. Mathematically, the task often consists in the reconstruction of an analytic or harmonic function, as is natural from concrete applications discussed (e.g. inverse heat conduction problems, Cauchy's problem for the Laplace equation, gravimetry). The book can be used in a graduate or upper undergraduate course in Inverse Problems, or as supplementary reading for a course on Applied Partial Differential Equations.



Operator Valued Measures And Integrals For Cone Valued Functions


Operator Valued Measures And Integrals For Cone Valued Functions
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Author : Walter Roth
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-02-05

Operator Valued Measures And Integrals For Cone Valued Functions written by Walter Roth 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 2009-02-05 with Mathematics categories.


Integration theory deals with extended real-valued, vector-valued, or operator-valued measures and functions, but different approaches are used for each case. This book develops a general theory of integration that simultaneously deals with all three cases.



Modules Over Operads And Functors


Modules Over Operads And Functors
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Author : Benoit Fresse
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-03-26

Modules Over Operads And Functors written by Benoit Fresse 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 2009-03-26 with Mathematics categories.


The notion of an operad supplies both a conceptual and effective device to handle a variety of algebraic structures in various situations. Operads were introduced 40 years ago in algebraic topology in order to model the structure of iterated loop spaces. Since then, operads have been used fruitfully in many fields of mathematics and physics. This monograph begins with a review of the basis of operad theory. The main purpose is to study structures of modules over operads as a new device to model functors between categories of algebras as effectively as operads model categories of algebras.



Posn R And Eisenstein Series


Posn R And Eisenstein Series
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Author :
language : en
Publisher: Springer Science & Business Media
Release Date : 2005

Posn R And Eisenstein Series written by 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 2005 with Eisenstein series categories.




Simplicial Complexes Of Graphs


Simplicial Complexes Of Graphs
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Author : Jakob Jonsson
language : en
Publisher: Springer
Release Date : 2007-12-10

Simplicial Complexes Of Graphs written by Jakob Jonsson and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-10 with Mathematics categories.


A graph complex is a finite family of graphs closed under deletion of edges. Graph complexes show up naturally in many different areas of mathematics. Identifying each graph with its edge set, one may view a graph complex as a simplicial complex and hence interpret it as a geometric object. This volume examines topological properties of graph complexes, focusing on homotopy type and homology. Many of the proofs are based on Robin Forman's discrete version of Morse theory.



Abstract Harmonic Analysis Of Continuous Wavelet Transforms


Abstract Harmonic Analysis Of Continuous Wavelet Transforms
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Author :
language : en
Publisher: Springer Science & Business Media
Release Date : 2005

Abstract Harmonic Analysis Of Continuous Wavelet Transforms written by 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 2005 with categories.




From Hahn Banach To Monotonicity


From Hahn Banach To Monotonicity
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Author : Stephen Simons
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-02-13

From Hahn Banach To Monotonicity written by Stephen Simons 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 2008-02-13 with Mathematics categories.


This new edition of LNM 1693 aims to reduce questions on monotone multifunctions to questions on convex functions. However, rather than using a "big convexification" of the graph of the multifunction and the "minimax technique" for proving the existence of linear functionals satisfying certain conditions, the Fitzpatrick function is used. The journey begins with the Hahn-Banach theorem and culminates in a survey of current results on monotone multifunctions on a Banach space.



Zeta Functions Of Groups And Rings


Zeta Functions Of Groups And Rings
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Author : Marcus du Sautoy
language : en
Publisher: Springer Science & Business Media
Release Date : 2008

Zeta Functions Of Groups And Rings written by Marcus du Sautoy 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 2008 with Mathematics categories.


Zeta functions have been a powerful tool in mathematics over the last two centuries. This book considers a new class of non-commutative zeta functions which encode the structure of the subgroup lattice in infinite groups. The book explores the analytic behaviour of these functions together with an investigation of functional equations. Many important examples of zeta functions are calculated and recorded providing an important data base of explicit examples and methods for calculation.



Stochastic Calculus For Fractional Brownian Motion And Related Processes


Stochastic Calculus For Fractional Brownian Motion And Related Processes
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Author : Yuliya Mishura
language : en
Publisher: Springer
Release Date : 2008-04-12

Stochastic Calculus For Fractional Brownian Motion And Related Processes written by Yuliya Mishura and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-04-12 with Mathematics categories.


This volume examines the theory of fractional Brownian motion and other long-memory processes. Interesting topics for PhD students and specialists in probability theory, stochastic analysis and financial mathematics demonstrate the modern level of this field. It proves that the market with stock guided by the mixed model is arbitrage-free without any restriction on the dependence of the components and deduces different forms of the Black-Scholes equation for fractional market.



Axiom Of Choice


Axiom Of Choice
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Author : Horst Herrlich
language : en
Publisher: Springer
Release Date : 2006-07-21

Axiom Of Choice written by Horst Herrlich and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-07-21 with Mathematics categories.


AC, the axiom of choice, because of its non-constructive character, is the most controversial mathematical axiom. It is shunned by some, used indiscriminately by others. This treatise shows paradigmatically that disasters happen without AC and they happen with AC. Illuminating examples are drawn from diverse areas of mathematics, particularly from general topology, but also from algebra, order theory, elementary analysis, measure theory, game theory, and graph theory.