Harmonic Analysis and Fractal Analysis over Local Fields and Applications

Su, Weiyi

ISBN 10: 9813200499 / ISBN 13: 9789813200494

Verlag: World Scientific Pub Co Inc, 2017

Beschreibung

336 pages. 9.00x6.25x1.00 inches. In Stock.

Bestandsnummer des Verkäufers x-9813200499

Bibliografische Details

• Titel: Harmonic Analysis and Fractal Analysis over Local Fields and Applications
• Verlag: World Scientific Pub Co Inc
• Erscheinungsjahr: 2017
• Sprache: Englisch
• ISBN-10: 9813200499
• ISBN-13: 9789813200494
• Einband: Hardcover
• Zustand: Brand New
• Gewicht: 0,62 Kilogramm

Über diesen Titel

Inhaltsangabe

This book is a monograph on harmonic analysis and fractal analysis over local fields. It can also be used as lecture notes/textbook or as recommended reading for courses on modern harmonic and fractal analysis. It is as reliable as Fourier Analysis on Local Fields published in 1975 which is regarded as the first monograph in this research field.

The book is self-contained, with wide scope and deep knowledge, taking modern mathematics (such as modern algebra, point set topology, functional analysis, distribution theory, and so on) as bases. Specially, fractal analysis is studied in the viewpoint of local fields, and fractal calculus is established by pseudo-differential operators over local fields. A frame of fractal PDE is constructed based on fractal calculus instead of classical calculus. On the other hand, the author does his best to make those difficult concepts accessible to readers, illustrate clear comparison between harmonic analysis on Euclidean spaces and that on local fields, and at the same time provide motivations underlying the new concepts and techniques. Overall, it is a high quality, up to date and valuable book for interested readers.

Über die Autorin bzw. den Autor

Charlotte y Peter Fiell son dos autoridades en historia, teoría y crítica del diseño y han escrito más de sesenta libros sobre la materia, muchos de los cuales se han convertido en éxitos de ventas. También han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Diseño del siglo XX, El diseño industrial de la A a la Z, Scandinavian Design y Diseño del siglo XXI.