Mathematical analysis is fundamental to the undergraduate curriculum not only because it is the stepping stone for the study of advanced analysis, but also because of its applications to other branches of mathematics, physics, and engineering at both the undergraduate and gradua…
E. Magenes: Il problema della derivata obliqua regolare per le equazioni lineari ellittico-paraboliche del secondo ordine in m variabili.- G. Stampacchia: Completamenti funzionali ed applicazione alla teoria dei potenziali di dominio.- A. Zygmund: On regular integrals.- S. Faedo…
This textbook presents an elementary introduction to generalized functions by using Sato's approach of hyperfunctions which is based on complex function theory. This very intuitive and appealing approach has particularly great computational power. The concept of hyperfunctions a…
Viele Studenten kommen mit der ausführlichen Darstellung der elektrotechnischen Zusammenhänge in den Lehrbüchern gut zurecht. Geht es dann in die Phase der Prüfungsvorbereitung, wünschen sie sich eine kompakte Darstellung mit Formeln, Beispielen und Lösungswegen, mit denen Übung…
Dieses Lehr- und Übungsbuch behandelt in ausführlicher und systematischer Weise drei Kapitel der Elektrotechnik, die die Grundlagen der Elektrotechnik der Bände 1 und 2 erweitern und damit die Brücke zu Anwendungsfächern bilden. So z.B. die Laplacetransformation für die Regelung…
This text introduces the basic concepts of function spaces and operators, both from the continuous and discrete viewpoints. Fourier and Window Fourier Transforms are introduced and used as a guide to arrive at the concept of Wavelet transform. The fundamental aspects of multires…
John J. Benedetto has had a profound influence not only on the direction of harmonic analysis and its applications, but also on the entire community of people involved in the field. The chapters in this volume - compiled on the occasion of his 80th birthday - are written by lead…
This book covers the construction, analysis, and theory of continuous nowhere differentiable functions, comprehensively and accessibly. After illuminating the significance of the subject through an overview of its history, the reader is introduced to the sophisticated toolkit of…
This contributed volume explores the connection between the theoretical aspects of harmonic analysis and the construction of advanced multiscale representations that have emerged in signal and image processing. It highlights some of the most promising mathematical developments i…