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Interpolation of Operators
  • Language: en
  • Pages: 489

Interpolation of Operators

This book presents interpolation theory from its classical roots beginning with Banach function spaces and equimeasurable rearrangements of functions, providing a thorough introduction to the theory of rearrangement-invariant Banach function spaces. At the same time, however, it clearly shows how the theory should be generalized in order to accommodate the more recent and powerful applications. Lebesgue, Lorentz, Zygmund, and Orlicz spaces receive detailed treatment, as do the classical interpolation theorems and their applications in harmonic analysis.The text includes a wide range of techniques and applications, and will serve as an amenable introduction and useful reference to the modern theory of interpolation of operators.

Maximal Functions Measuring Smoothness
  • Language: en
  • Pages: 126

Maximal Functions Measuring Smoothness

Maximal functions which measure the smoothness of a function are introduced and studied from the point of view of their relationship to classical smoothness and their use in proving embedding theorems, extension theorems, and various results on differentiation. New spaces of functions which generalize Sobolev spaces are introduced.

Besov Regularity of Stochastic Partial Differential Equations on Bounded Lipschitz Domains
  • Language: en
  • Pages: 166

Besov Regularity of Stochastic Partial Differential Equations on Bounded Lipschitz Domains

Stochastic partial differential equations (SPDEs, for short) are the mathematical models of choice for space time evolutions corrupted by noise. Although in many settings it is known that the resulting SPDEs have a unique solution, in general, this solution is not given explicitly. Thus, in order to make those mathematical models ready to use for real life applications, appropriate numerical algorithms are needed. To increase efficiency, it would be tempting to design suitable adaptive schemes based, e.g., on wavelets. However, it is not a priori clear whether such adaptive strategies can outperform well-established uniform alternatives. Their theoretical justification requires a rigorous re...

Second Edmonton Conference on Approximation Theory
  • Language: en
  • Pages: 416

Second Edmonton Conference on Approximation Theory

The Second Edmonton Conference on Approximation Theory, held in Edmonton, Alberta, June 7-11, 1982, was devoted to Approximation Theory and related topics, including spline approximation, computational problems, complex and rational approximation, and techniques from harmonic analysis and the theory of interpolation of operators. In conformity with the requirements of this series, this volume consists of refereed papers by a selection of the invited speakers. The conference was sponsored by the Canadian Mathematical Society and supported by grants from the Natural Sciences and Engineering Research Council of Canada and the University of Alberta.

Hardy-Littlewood and Ulyanov Inequalities
  • Language: en
  • Pages: 118

Hardy-Littlewood and Ulyanov Inequalities

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African Doctorates in Mathematics
  • Language: en
  • Pages: 385

African Doctorates in Mathematics

  • Type: Book
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  • Published: 2007
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  • Publisher: Lulu.com

This volume presents a catalogue of over 2000 doctoral theses by Africans in all fields of mathematics, including applied mathematics, mathematics education and history of mathematics. The introduction contains information about distribution by country, institutions, period, and by gender, about mathematical density, and mobility of mathematicians. Several appendices are included (female doctorate holders, doctorates in mathematics education, doctorates awarded by African universities to non-Africans, doctoral theses by non-Africans about mathematics in Africa, activities of African mathematicians at the service of their communities). Paulus Gerdes compiled the information in his capacity of Chairman of the African Mathematical Union Commission for the History of Mathematics in Africa (AMUCHMA). The book contains a preface by Mohamed Hassan, President of the African Academy of Sciences (AAS) and Executive Director of the Academy of Sciences for the Developing World (TWAS). (383 pp.)

Bulletin of the American Mathematical Society
  • Language: en
  • Pages: 512

Bulletin of the American Mathematical Society

  • Type: Book
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  • Published: 1971
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  • Publisher: Unknown

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Peterson's Annual Guides to Graduate Study
  • Language: en
  • Pages: 624

Peterson's Annual Guides to Graduate Study

  • Type: Book
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  • Published: 1981
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  • Publisher: Unknown

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The Alcalde
  • Language: en
  • Pages: 60

The Alcalde

  • Type: Magazine
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  • Published: 1973-05
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  • Publisher: Unknown

As the magazine of the Texas Exes, The Alcalde has united alumni and friends of The University of Texas at Austin for nearly 100 years. The Alcalde serves as an intellectual crossroads where UT's luminaries - artists, engineers, executives, musicians, attorneys, journalists, lawmakers, and professors among them - meet bimonthly to exchange ideas. Its pages also offer a place for Texas Exes to swap stories and share memories of Austin and their alma mater. The magazine's unique name is Spanish for "mayor" or "chief magistrate"; the nickname of the governor who signed UT into existence was "The Old Alcalde."

Notices of the American Mathematical Society
  • Language: en
  • Pages: 586

Notices of the American Mathematical Society

  • Type: Book
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  • Published: 1992
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  • Publisher: Unknown

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