Lectures in Nonlinear Functional Analysis: Synopsis of Lectures Given at the Faculty of Physics of Lomonosov Moscow State University, Korpusov Maxim Olegovich, Ovchinnikov Alexey Vitalyevich, Panin Alexander Anatolyevich

Автор: Komornik
Название: Lectures on Functional Analysis and the Lebesgue Integral
ISBN: 1447168100 ISBN-13(EAN): 9781447168102
Издательство: Springer
Рейтинг:
Цена: 9362.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This textbook, based on three series of lectures held by the author at the University of Strasbourg, presents functional analysis in a non-traditional way by generalizing elementary theorems of plane geometry to spaces of arbitrary dimension. This approach leads naturally to the basic notions and theorems. Most results are illustrated by the small ?p spaces. The Lebesgue integral, meanwhile, is treated via the direct approach of Frigyes Riesz, whose constructive definition of measurable functions leads to optimal, clear-cut versions of the classical theorems of Fubini-Tonelli and Radon-Nikod?m.Lectures on Functional Analysis and the Lebesgue Integral presents the most important topics for students, with short, elegant proofs. The exposition style follows the Hungarian mathematical tradition of Paul Erd?s and others. The order of the first two parts, functional analysis and the Lebesgue integral, may be reversed. In the third and final part they are combined to study various spaces of continuous and integrable functions. Several beautiful, but almost forgotten, classical theorems are also included.Both undergraduate and graduate students in pure and applied mathematics, physics and engineering will find this textbook useful. Only basic topological notions and results are used and various simple but pertinent examples and exercises illustrate the usefulness and optimality of most theorems. Many of these examples are new or difficult to localize in the literature, and the original sources of most notions and results are indicated to help the reader understand the genesis and development of the field.

Автор: Artem Zvavitch, Dmitry Ryabogin, Eva A. Gallardo Gutierrez, Ilya M. Spitkovsky, Miguel Martin, Richard M. Aron
Название: The Mathematical Legacy of Victor Lomonosov: Operator Theory
ISBN: 3110653397 ISBN-13(EAN): 9783110653397
Издательство: Walter de Gruyter
Рейтинг:
Цена: 21004.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание:

The series is devoted to the publication of high-level monographs and specialized graduate texts which cover classical and modern analysis, partial differential equations with natural connections to geometry and the interplays between these fields and their applications to mathematical physics.

Автор: Khrennikov, Andrei Yu. (linneuniversitetet, Sweden) Kozyrev, Sergei V. (steklov Institute Of Mathematics, Moscow) Zuniga-galindo, W. A. (instituto Pol
Название: Ultrametric pseudodifferential equations and applications
ISBN: 1107188822 ISBN-13(EAN): 9781107188822
Издательство: Cambridge Academ
Рейтинг:
Цена: 18216.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Presents the state of the art of ultrametric pseudodifferential equations, relevant not only in mathematics but also in fields such as engineering, geophysics, and physics. Results previously scattered across many diverse journals are usefully consolidated here alongside novel ideas and applications.