Linear Differential Operators

Linear Differential Operators PDF Author: M. A. Naimark
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

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Book Description

Linear Differential Operators

Linear Differential Operators PDF Author: M. A. Naimark
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

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Book Description


Geometric Control Theory and Sub-Riemannian Geometry

Geometric Control Theory and Sub-Riemannian Geometry PDF Author: Gianna Stefani
Publisher: Springer
ISBN: 331902132X
Category : Mathematics
Languages : en
Pages : 385

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Book Description
Honoring Andrei Agrachev's 60th birthday, this volume presents recent advances in the interaction between Geometric Control Theory and sub-Riemannian geometry. On the one hand, Geometric Control Theory used the differential geometric and Lie algebraic language for studying controllability, motion planning, stabilizability and optimality for control systems. The geometric approach turned out to be fruitful in applications to robotics, vision modeling, mathematical physics etc. On the other hand, Riemannian geometry and its generalizations, such as sub-Riemannian, Finslerian geometry etc., have been actively adopting methods developed in the scope of geometric control. Application of these methods has led to important results regarding geometry of sub-Riemannian spaces, regularity of sub-Riemannian distances, properties of the group of diffeomorphisms of sub-Riemannian manifolds, local geometry and equivalence of distributions and sub-Riemannian structures, regularity of the Hausdorff volume, etc.

Jacobi Matrices and the Moment Problem

Jacobi Matrices and the Moment Problem PDF Author: Yurij M. Berezansky
Publisher: Springer Nature
ISBN: 3031463870
Category : Mathematics
Languages : en
Pages : 489

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Book Description
This monograph presents the solution of the classical moment problem, the construction of Jacobi matrices and corresponding polynomials. The cases of strongly,trigonometric, complex and real two-dimensional moment problems are discussed, and the Jacobi-type matrices corresponding to the trigonometric moment problem are shown. The Berezansky theory of the expansion in generalized eigenvectors for corresponding set of commuting operators plays the key role in the proof of results. The book is recommended for researchers in fields of functional analysis, operator theory, mathematical physics, and engineers who deal with problems of coupled pendulums.

Lectures on Linear Partial Differential Equations

Lectures on Linear Partial Differential Equations PDF Author: L. Nirenberg
Publisher: American Mathematical Soc.
ISBN: 9780821888667
Category : Mathematics
Languages : en
Pages : 70

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Book Description


Linear Operators, Part 1

Linear Operators, Part 1 PDF Author: Nelson Dunford
Publisher: John Wiley & Sons
ISBN: 0471608483
Category : Mathematics
Languages : en
Pages : 870

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Book Description
This classic text, written by two notable mathematicians, constitutes a comprehensive survey of the general theory of linear operations, together with applications to the diverse fields of more classical analysis. Dunford and Schwartz emphasize the significance of the relationships between the abstract theory and its applications. This text has been written for the student as well as for the mathematician—treatment is relatively self-contained. This is a paperback edition of the original work, unabridged, in three volumes.

Theory of Linear Operators in Hilbert Space

Theory of Linear Operators in Hilbert Space PDF Author: N. I. Akhiezer
Publisher: Courier Corporation
ISBN: 0486318656
Category : Mathematics
Languages : en
Pages : 378

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Book Description
This classic textbook by two mathematicians from the USSR's prestigious Kharkov Mathematics Institute introduces linear operators in Hilbert space, and presents in detail the geometry of Hilbert space and the spectral theory of unitary and self-adjoint operators. It is directed to students at graduate and advanced undergraduate levels, but because of the exceptional clarity of its theoretical presentation and the inclusion of results obtained by Soviet mathematicians, it should prove invaluable for every mathematician and physicist. 1961, 1963 edition.

新收洋書総合目錄

新收洋書総合目錄 PDF Author:
Publisher:
ISBN:
Category : Libraries
Languages : en
Pages : 1248

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Book Description


Semigroups of Linear Operators and Applications

Semigroups of Linear Operators and Applications PDF Author: Jerome A. Goldstein
Publisher: Courier Dover Publications
ISBN: 0486822222
Category : Mathematics
Languages : en
Pages : 321

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Book Description
Advanced graduate-level treatment of semigroup theory explores semigroups of linear operators and linear Cauchy problems. The text features challenging exercises and emphasizes motivation, heuristics, and further applications. 1985 edition.

Finite Difference Methods for Ordinary and Partial Differential Equations

Finite Difference Methods for Ordinary and Partial Differential Equations PDF Author: Randall J. LeVeque
Publisher: SIAM
ISBN: 9780898717839
Category : Mathematics
Languages : en
Pages : 356

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Book Description
This book introduces finite difference methods for both ordinary differential equations (ODEs) and partial differential equations (PDEs) and discusses the similarities and differences between algorithm design and stability analysis for different types of equations. A unified view of stability theory for ODEs and PDEs is presented, and the interplay between ODE and PDE analysis is stressed. The text emphasizes standard classical methods, but several newer approaches also are introduced and are described in the context of simple motivating examples.

The American Mathematical Monthly

The American Mathematical Monthly PDF Author:
Publisher:
ISBN:
Category : Mathematicians
Languages : en
Pages : 480

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Book Description
Includes articles, as well as notes and other features, about mathematics and the profession.