Author: Bert SchroerPublisher:
ISBN:
Category :
Languages : en
Pages : 24
Book Description
Positivity and Integrability
Positive Solutions of Differential, Difference and Integral Equations
Author: R.P. AgarwalPublisher: Springer Science & Business Media
ISBN: 9401591717
Category : Mathematics
Languages : en
Pages : 425
Book Description
In analysing nonlinear phenomena many mathematical models give rise to problems for which only nonnegative solutions make sense. In the last few years this discipline has grown dramatically. This state-of-the-art volume offers the authors' recent work, reflecting some of the major advances in the field as well as the diversity of the subject. Audience: This volume will be of interest to graduate students and researchers in mathematical analysis and its applications, whose work involves ordinary differential equations, finite differences and integral equations.
Infinitely Differentiable Positive Definite Functions and Integrability of Ultraspherical Series
Author: Carl Coleman GanserPublisher:
ISBN:
Category : Fourier series
Languages : en
Pages : 130
Book Description
Measures, Integrals and Martingales
Author: René L. SchillingPublisher: Cambridge University Press
ISBN: 9780521850155
Category : Mathematics
Languages : en
Pages : 404
Book Description
This book, first published in 2005, introduces measure and integration theory as it is needed in many parts of analysis and probability.
Integrability Theorems for Trigonometric Transforms
Author: Ralph P.Jr. BoasPublisher: Springer Science & Business Media
ISBN: 3642871089
Category : Mathematics
Languages : en
Pages : 71
Book Description
This monograph is areport on the present state of a fairly coherent collection of problems about which a sizeable literature has grown up in recent years. In this literature, some of the problems have, as it happens, been analyzed in great detail, whereas other very similar ones have been treated much more superficially. I have not attempted to improve on the literature by making equally detailed presentations of every topic. I have also not aimed at encyclopedic completeness. I have, however, pointed out some possible generalizations by stating a number of questions; some of these could doubtless be disposed of in a few minutes; some are probably quite difficult. This monograph was written at the suggestion of B. SZ.-NAGY. I take this opportunity of pointing out that his paper [1] inspired the greater part of the material that is presented here; in particular, it contains the happy idea of focusing Y attention on the multipliers nY-i, x- . R. ASKEY, P. HEYWOOD, M. and S. IZUMI, and S. WAINGER have kindly communicated some of their recent results to me before publication. I am indebted for help on various points to L. S. BOSANQUET, S. M. EDMONDS, G. GOES, S. IZUMI, A. ZYGMUND, and especially to R. ASKEY. My work was supported by the National Science Foundation under grants GP-314, GP-2491, GP-3940 and GP-5558. Evanston, Illinois, February, 1967 R. P. Boas, Jr. Contents Notations ... § 1. Introduetion 3 §2. Lemmas .. 7 § 3. Theorems with positive or decreasing functions .
Symmetries and Integrability of Difference Equations
Author: Decio LeviPublisher: American Mathematical Soc.
ISBN: 9780821870501
Category : Mathematics
Languages : en
Pages : 404
Book Description
Real and Functional Analysis
Author: Serge LangPublisher: Springer Science & Business Media
ISBN: 1461208971
Category : Mathematics
Languages : en
Pages : 591
Book Description
This book is meant as a text for a first-year graduate course in analysis. In a sense, it covers the same topics as elementary calculus but treats them in a manner suitable for people who will be using it in further mathematical investigations. The organization avoids long chains of logical interdependence, so that chapters are mostly independent. This allows a course to omit material from some chapters without compromising the exposition of material from later chapters.
Positivity in Arakelov Geometry Over Adelic Curves
Author: Huayi ChenPublisher: Springer Nature
ISBN: 3031616685
Category : Arakelov theory
Languages : en
Pages : 254
Book Description
This monograph presents new research on Arakelov geometry over adelic curves, a novel theory of arithmetic geometry developed by the authors. It explores positivity conditions and establishes the Hilbert-Samuel formula and the equidistribution theorem in the context of adelic curves. Connections with several classical topics in Arakelov geometry and Diophantine geometry are highlighted, such as the arithmetic Hilbert-Samuel formula, positivity of line bundles, equidistribution of small subvarieties, and theorems resembling the Bogomolov conjecture. Detailed proofs and explanations are provided to ensure the text is accessible to both graduate students and experienced researchers.
The Integrability of the Differential Equation Representing the Sum of a Family of Series
Author: Louis O'ShaughnessyPublisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 32
Book Description
Integral Closure of Ideals, Rings, and Modules
Author: Craig HunekePublisher: Cambridge University Press
ISBN: 0521688604
Category : Mathematics
Languages : en
Pages : 446
Book Description
Ideal for graduate students and researchers, this book presents a unified treatment of the central notions of integral closure.