Selected Topics On Generalized Integration - Couverture rigide

 
9789819812196: Selected Topics On Generalized Integration
Couverture rigide
ISBN 10 : 9819812194 ISBN 13 : 9789819812196
Editeur : WSPC, 2025

Synopsis

This comprehensive volume offers an in-depth exploration of advanced integration theories, extending beyond classical methods to unify and expand the field. Building on the foundational work of Jaroslav Kurzweil and Ralph Henstock, the book delves into the Henstock–Kurzweil and McShane gauge integrals, presenting a more intuitive and versatile alternative to the traditional Lebesgue integral. By bridging gaps in existing literature, the authors provide a rigorous treatment of integration on metric measure spaces, exploring critical concepts such as completeness, compactness, and Cousin's lemma. The book systematically introduces advanced topics, including the variational Henstock integral in locally convex spaces, the Riemann–Lebesgue integral for vector-valued functions, and generalizations of the Sugeno integral. Further chapters explore convergence in Banach spaces on time scales, set-valued integrals, and applications to harmonic analysis and partial differential equations, including solutions to the heat equation in distribution spaces. Notably, the text presents innovative approaches like the symmetric Laplace integral and the q-Homotopy Analysis Method for solving nonlinear integral equations, offering practical tools for modern analysis. Unified integral representations for generalized Mittag-Leffler functions further highlight the book's engagement with special functions. Ideal for researchers and advanced students in mathematical analysis, this book seamlessly integrates classical theories with modern advancements, offering both theoretical insights and practical applications across mathematics, physics, and engineering.

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Éditeur
WSPC
Date d'édition
2025
Langue
anglais
ISBN 10 
9819812194
ISBN 13 
9789819812196
Reliure
Relié
Nombre de pages
316
Éditeur
Toh Tin Lam, Kalita Hemanta, Croitoru Anca, Becerra Tomas Perez, Hazarika Bipan
Coordonnées du fabricant
World Scientific Publishing
https://www.worldscientific.com/

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