Difference Spaces and Invariant Linear Forms / by Rodney Nillsen.

Format:

Book

Author/Creator:

Nillsen, Rodney, author.

Contributor:

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 1586.

Lecture Notes in Mathematics, 0075-8434 ; 1586

Language:

English

Subjects (All):

Global analysis (Mathematics).

Topological groups.

Analysis.

Topological Groups, Lie Groups.

Local Subjects:

Analysis.

Topological Groups, Lie Groups.

Physical Description:

1 online resource (XII, 192 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1994.

System Details:

text file PDF

Summary:

Difference spaces arise by taking sums of finite or fractional differences. Linear forms which vanish identically on such a space are invariant in a corresponding sense. The difference spaces of L2 (Rn) are Hilbert spaces whose functions are characterized by the behaviour of their Fourier transforms near, e.g., the origin. One aim is to establish connections between these spaces and differential operators, singular integral operators and wavelets. Another aim is to discuss aspects of these ideas which emphasise invariant linear forms on locally compact groups. The work primarily presents new results, but does so from a clear, accessible and unified viewpoint, which emphasises connections with related work.

Contents:

General and preparatory results

Multiplication and difference spaces on R n

Applications to differential and singular integral operators

Results for L p spaces on general groups.

Other Format:

Printed edition:

ISBN:

9783540486527

Access Restriction:

Restricted for use by site license.