Pointwise Variable Anisotropic Function Spaces on ℝⁿ
Seiten
2022
De Gruyter (Verlag)
978-3-11-076176-4 (ISBN)
De Gruyter (Verlag)
978-3-11-076176-4 (ISBN)
The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 30 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics.While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community. Please submit any book proposals to Niels Jacob.
Spaces of homogeneous type were introduced as a generalization to the Euclidean space and serve as a suffi cient setting in which one can generalize the classical isotropic Harmonic analysis and function space theory. This setting is sometimes too general, and the theory is limited. Here, we present a set of fl exible ellipsoid covers of ℝn that replace the Euclidean balls and support a generalization of the theory with fewer limitations.
Spaces of homogeneous type were introduced as a generalization to the Euclidean space and serve as a suffi cient setting in which one can generalize the classical isotropic Harmonic analysis and function space theory. This setting is sometimes too general, and the theory is limited. Here, we present a set of fl exible ellipsoid covers of ℝn that replace the Euclidean balls and support a generalization of the theory with fewer limitations.
Shai Dekel, School of Mathematical Sciences, Tel-Aviv University, Israel
Graduate students, researchers in the fields of approximation theory, harmonic analysis and function spaces.
| Erscheinungsdatum | 28.03.2022 |
|---|---|
| Reihe/Serie | De Gruyter Studies in Mathematics ; 85 |
| Zusatzinfo | 3 b/w ill. |
| Verlagsort | Berlin/Boston |
| Sprache | englisch |
| Maße | 170 x 240 mm |
| Gewicht | 552 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Angewandte Mathematik |
| Schlagworte | Anisotrop • Anisotropic spaces • Anisotropic spaces, Euclidean space, theory of local approximation, multivariate algebraic polynomia • Anisotropic spaces, Euclidean space, theory of local approximation, multivariate algebraic polynomials, • Euclidean space • Funktionsraum • multivariate algebraic polynomials • theory of local approximation |
| ISBN-10 | 3-11-076176-9 / 3110761769 |
| ISBN-13 | 978-3-11-076176-4 / 9783110761764 |
| Zustand | Neuware |
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