DMCA. Copyrighted Work that you can Claim.
Base have 55 000 books.
Search: 


📙 Spectral theory of non-self-adjoint two-point differential operators by John Locker — pdf free


This monograph develops the spectral theory of an $n$th order non-self-adjoint two-point differential operator $L$ in the Hilbert space $L^2[0,1]$. The mathematical foundation is laid in the first part, where the spectral theory is developed for closed linear operators and Fredholm operators. An important completeness theorem is established for the Hilbert-Schmidt discrete operators. The operational calculus plays a major role in this general theory. In the second part, the spectral theory of the differential operator $L$ is developed by expressing $L$ in the form $L = T + S$, where $T$ is the principal part determined by the $n$th order derivative and $S$ is the part determined by the lower-order derivatives. The spectral theory of $T$ is developed first using operator theory, and then the spectral theory of $L$ is developed by treating $L$ as a perturbation of $T$. Regular and irregular boundary values are allowed for $T$, and regular boundary values are considered for $L$. Special features of the spectral theory for $L$ and $T$ include the following: calculation of the eigenvalues, algebraic multiplicities and ascents; calculation of the associated family of projections which project onto the generalized eigenspaces; completeness of the generalized eigenfunctions; uniform bounds on the family of all finite sums of the associated projections; and expansions of functions in series of generalized eigenfunctions of $L$ and $T

About book:

About file:

  • DPI: 600
  • File size: 2 151 402
  • Format: djvu


Security code:
Download button

Similar books results


Spectral approximations of linear operators
Spectral approximations of linear operators epub download by Françoise Chatelin

This classic textbook provides a unified treatment of spectral approximation for closed or bounded operators as well as for matrices. Despite significant changes and advances in the field since it was first published in 1983, the book continues to form th...

Elements of Hilbert Spaces and Operator Theory
Elements of Hilbert Spaces and Operator Theory free epub by Harkrishan Lal Vasudeva

The book presents an introduction to the geometry of Hilbert spaces and operator theory, targeting graduate and senior undergraduate students of mathematics. Major topics discussed in the book are inner product spaces, linear operators, spectral theory an...

Boundary value problems and singular pseudo-differential operators
Boundary value problems and singular pseudo-differential operators free pdf by Bert-Wolfgang Schulze

This book covers the analysis of pseudo-differential operators on manifolds with conical points and edges. The standard singular integral operators on the half-axis as well as boundary value problems on smooth manifolds are treated as particular cone and ...

A primer on spectral theory
A primer on spectral theory free download by Aupetit B.

This textbook provides an introduction to the new techniques of subharmonic functions and analytic multifunctions in spectral theory. Topics include the basic results of functional analysis, bounded operations on Banach and Hilbert spaces, Banach algebras...

Pseudo-differential operators with discontinuous symbols: Widom's conjecture
Pseudo-differential operators with discontinuous symbols: Widom's conjecture epub download by A. V. Sobolev

Relying on the known two-term quasiclassical asymptotic formula for the trace of the function f(A) of a Wiener-Hopf type operator A in dimension one, in 1982 H. Widom conjectured a multi-dimensional generalisation of that formula for a pseudo-differential...

The Analysis of Linear Partial Differential Operators II: Differential Operators with Constant Coefficients
The Analysis of Linear Partial Differential Operators II: Differential Operators with Constant Coefficients free download by Lars Hörmander (auth.)

This volume is an expanded version of Chapters III, IV, V and VII of my 1963 book "Linear partial differential operators". In addition there is an entirely new chapter on convolution equations, one on scattering theory, and one on methods from the theory ...

Semi-bounded differential operators, contractive semigroups and beyond
Semi-bounded differential operators, contractive semigroups and beyond epub download by Alberto Cialdea, Vladimir Maz'ya

​In the present book the conditions are studied for the semi-boundedness of partial differential operators which is interpreted in different ways. Nowadays one knows rather much about L2-semibounded differential and pseudo-differential operators, although...

Direct and inverse scattering on the line
Direct and inverse scattering on the line download pdf by Richard Beals, Carlos Tomei

This book deals with the theory of linear ordinary differential operators of arbitrary order. Unlike treatments that focus on spectral theory, this work centers on the construction of special eigenfunctions (generalized Jost solutions) and on the inverse ...

Internal Rhetorics: Toward a History and Theory of Self-Persuasion
Internal Rhetorics: Toward a History and Theory of Self-Persuasion free pdf by Associate Professor Jean Neinkamp PhD

Since its early history in Greek culture, traditional rhetorical study has focused primarily on persuasive language used in the public sphere. There has been little study, however, of what Jean Nienkamp calls internal rhetoric, which ''occurs between one ...

Tomcat. The Definitive Guide
Tomcat. The Definitive Guide pdf free by Jason Brittain, Ian F. Darwin

It takes a book as versatile as its subject to cover Apache Tomcat, the popular open source Servlet and JSP container and high performance web server. Tomcat: The Definitive Guide is a valuable reference for administrators and webmasters, a useful guide f...

Toleration as Recognition
Toleration as Recognition free download by Anna Elisabetta Galeotti

Anna Elisabetta Galeotti examines the most intractable problems which toleration encounters and argues that what is really at stake is not religious or moral disagreement but the unequal status of different social groups. Liberal theories of toleration fa...

Tokamak Start-up: Problems and Scenarios Related to the Transient Phases of a Thermonuclear Fusion Reactor

Tolkien's Art: A Mythology for England
Tolkien's Art: A Mythology for England free download by Jane Chance

" J.R.R. Tolkien's zeal for medieval literary, religious, and cultural ideas deeply influenced his entire life and provided the seeds for his own fiction. In Tolkien's Art, Chance discusses not only such classics as The Hobbit, The Lord of the Rings, and ...

Tolstoy on the Couch: Misogyny, Masochism and the Absent Mother
Tolstoy on the Couch: Misogyny, Masochism and the Absent Mother free download by Daniel Rancour-Laferriere (auth.)

In his 1889 novella The Kreutzer Sonata Lev Tolstoy declared war on human sexuality. Having fathered thirteen children by his wife and at least two children by peasant women, the great Russian writer now has the arrogance to suggest that people should sto...

Tom Stoppard
Tom Stoppard pdf free by Thomas R. Whitaker (auth.)

Tom Stoppard an Assessment

Tom Stoppard: The Artist as Critic

Tolerance, Intolerance and Respect: Hard to Accept?

Toleration, Identity and Difference
Toleration, Identity and Difference free download by John Horton, Susan Mendus (eds.)