Transplantation Theorems and Multiplier Theorems for Jacobi Series

Transplantation Theorems and Multiplier Theorems for Jacobi Series PDF Author: Benjamin Muckenhoupt
Publisher: American Mathematical Soc.
ISBN: 082182418X
Category : Jacobi polynomials
Languages : en
Pages : 94

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Transplantation Theorems and Multiplier Theorems for Jacobi Series

Transplantation Theorems and Multiplier Theorems for Jacobi Series PDF Author: Benjamin Muckenhoupt
Publisher: American Mathematical Soc.
ISBN: 082182418X
Category : Jacobi polynomials
Languages : en
Pages : 94

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Weak Type Estimates for Cesaro Sums of Jacobi Polynomial Series

Weak Type Estimates for Cesaro Sums of Jacobi Polynomial Series PDF Author: Sagun Chanillo
Publisher: American Mathematical Soc.
ISBN: 0821825488
Category : Mathematics
Languages : en
Pages : 105

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This work completely characterizes the behaviour of Cesaro means of any order of the Jacobi polynomials. In particular, pointwise estimates are derived for the Cesaro mean kernel. Complete answers are given for the convergence almost everywhere of partial sums of Cesaro means of functions belonging to the critical L ]p spaces. This characterization is deduced from weak type estimates for the maximal partial sum operator. The methods used are fairly general and should apply to other series of special functions.

Selected Papers on Analysis and Related Topics

Selected Papers on Analysis and Related Topics PDF Author:
Publisher: American Mathematical Soc.
ISBN: 9780821839287
Category : Mathematics
Languages : en
Pages : 190

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Book Description
This volume contains translations of papers that originally appeared in the Japanese journal 'Sugaku'. The papers range over a variety of topics, including operator algebras, analysis, and statistics.

$q$-Series from a Contemporary Perspective

$q$-Series from a Contemporary Perspective PDF Author: Mourad Ismail
Publisher: American Mathematical Soc.
ISBN: 0821811509
Category : Mathematics
Languages : en
Pages : 446

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Book Description
This volume presents the proceedings of the Summer Research Conference on q-series and related topics held at Mount Holyoke College (Hadley, Massachusetts). All of the papers were contributed by participants and offer original research. Articles in the book reflect the diversity of areas that overlap with q-series, as well as the usefulness of q-series across the mathematical sciences. The conference was held in honour of Richard Askey on the occasion of his 65th birthday.

Function Spaces, Differential Operators and Nonlinear Analysis

Function Spaces, Differential Operators and Nonlinear Analysis PDF Author: Dorothee Haroske
Publisher: Birkhäuser
ISBN: 3034880359
Category : Mathematics
Languages : en
Pages : 462

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Book Description
This volume is dedicated to our teacher and friend Hans Triebel. The core of the book is based on lectures given at the International Conference "Function Spaces, Differential Operators and Nonlinear Analysis" (FSDONA--01) held in Teistungen, Thuringia / Germany, from June 28 to July 4,2001, in honour of his 65th birthday. This was the fifth in a series of meetings organised under the same name by scientists from Finland (Helsinki, Oulu) , the Czech Republic (Prague, Plzen) and Germany (Jena) promoting the collaboration of specialists in East and West, working in these fields. This conference was a very special event because it celebrated Hans Triebel's extraordinary impact on mathematical analysis. The development of the mod ern theory of function spaces in the last 30 years and its application to various branches in both pure and applied mathematics is deeply influenced by his lasting contributions. In a series of books Hans Triebel has given systematic treatments of the theory of function spaces from different points of view, thus revealing its interdependence with interpolation theory, harmonic analysis, partial differential equations, nonlinear operators, entropy, spectral theory and, most recently, anal ysis on fractals. The presented collection of papers is a tribute to Hans Triebel's distinguished work. The book is subdivided into three parts: • Part I contains the two invited lectures by O.V. Besov (Moscow) and D.E. Edmunds (Sussex) having a survey character and honouring Hans Triebel's contributions.

Gaussian Harmonic Analysis

Gaussian Harmonic Analysis PDF Author: Wilfredo Urbina-Romero
Publisher: Springer
ISBN: 3030055973
Category : Mathematics
Languages : en
Pages : 501

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Book Description
Authored by a ranking authority in Gaussian harmonic analysis, this book embodies a state-of-the-art entrée at the intersection of two important fields of research: harmonic analysis and probability. The book is intended for a very diverse audience, from graduate students all the way to researchers working in a broad spectrum of areas in analysis. Written with the graduate student in mind, it is assumed that the reader has familiarity with the basics of real analysis as well as with classical harmonic analysis, including Calderón-Zygmund theory; also some knowledge of basic orthogonal polynomials theory would be convenient. The monograph develops the main topics of classical harmonic analysis (semigroups, covering lemmas, maximal functions, Littlewood-Paley functions, spectral multipliers, fractional integrals and fractional derivatives, singular integrals) with respect to the Gaussian measure. The text provide an updated exposition, as self-contained as possible, of all the topics in Gaussian harmonic analysis that up to now are mostly scattered in research papers and sections of books; also an exhaustive bibliography for further reading. Each chapter ends with a section of notes and further results where connections between Gaussian harmonic analysis and other connected fields, points of view and alternative techniques are given. Mathematicians and researchers in several areas will find the breadth and depth of the treatment of the subject highly useful.

Acta Scientiarum Mathematicarum

Acta Scientiarum Mathematicarum PDF Author: József Attila Tudományegyetem
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 838

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Sūgaku Expositions

Sūgaku Expositions PDF Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 542

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Methods and Applications of Analysis

Methods and Applications of Analysis PDF Author:
Publisher:
ISBN:
Category : Mathematical analysis
Languages : en
Pages : 648

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Revista de la Unión Matemática Argentina

Revista de la Unión Matemática Argentina PDF Author: Unión Matemática Argentina
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 434

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