Real Analysis: Measures, Integrals and Applications

• Κύριοι συγγραφείς: Makarov, Boris (Συγγραφέας), Podkorytov, Anatolii (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: London : Springer London : Imprint: Springer, 2013.
• Σειρά: Universitext,
• Θέματα: Mathematics.; Fourier analysis.; Measure theory.; Functions of real variables.; Geometry.; Measure and Integration.; Fourier Analysis.; Real Functions.

Real Analysis: Measures, Integrals and Applications is devoted to the basics of integration theory and its related topics. The main emphasis is made on the properties of the Lebesgue integral and various applications both classical and those rarely covered in literature.   This book provides a detai...

Πίνακας περιεχομένων:

• Measure
• The Lebesgue Model
• Measurable Functions
• The Integral
• The Product Measure
• Change of Variables in an Integral
• Integrals Dependent on a Parameter
• Surface Integrals
• Approximation and Convolution of the Space
• Fourier Series and the Fourier Transform
• Charges. The Radon-Nikodym Theory
• Integral Representation of Linear Functionals
• Appendices.