Jurusan Manajemen E-books

Linear

Download E-books An Introduction to the Uncertainty Principle: Hardy's Theorem on Lie Groups (Progress in Mathematics) PDF

By Sundaram Thangavelu

In 1932 Norbert Wiener gave a sequence of lectures on Fourier research on the Univer­ sity of Cambridge. One results of Wiener's stopover at to Cambridge used to be his recognized textual content The Fourier essential and sure of its purposes; one other used to be a paper through G. H. Hardy within the 1933 Journalofthe London Mathematical Society. As Hardy says within the advent to this paper, This notice originates from a comment of Prof. N. Wiener, to the impression that "a f and g [= j] can't either be very small". ... The theo­ pair of transforms rems which stick to provide the main detailed interpretation attainable ofWiener's comment. Hardy's personal assertion of his effects, evenly paraphrased, is as follows, during which f is an integrable functionality at the genuine line and f is its Fourier remodel: x 2 m If f and j are either zero (Ix1e- /2) for big x and a few m, then each one is a finite linear blend ofHermite services. particularly, if f and j are x2 x 2 2 2 either O(e- / ), then f = j = Ae- / , the place A is a continuing; and if one x 2 2 is0(e- / ), then either are null.

Show description

Read or Download An Introduction to the Uncertainty Principle: Hardy's Theorem on Lie Groups (Progress in Mathematics) PDF

Similar Linear books

Algebraic and Analytic Methods in Representation Theory

This ebook is a compilation of a number of works from well-recognized figures within the box of illustration concept. The presentation of the subject is exclusive in delivering a number of diversified issues of view, which may still makethe booklet very valuable to scholars and specialists alike.

Ring Theory, Student Edition

This is often an abridged version of the author's earlier two-volume paintings, Ring thought, which concentrates on crucial fabric for a basic ring thought direction whereas ommitting a lot of the fabric meant for ring conception experts. it's been praised via reviewers:**"As a textbook for graduate scholars, Ring concept joins the easiest.

Extra resources for An Introduction to the Uncertainty Principle: Hardy's Theorem on Lie Groups (Progress in Mathematics)

Show sample text content

Rated 4.10 of 5 – based on 21 votes