An uncertainty principle for geometry

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

An uncertainty principle for quaternion Fourier transform

We review the quaternionic Fourier transform (QFT). Using the properties of the QFT we establish an uncertainty principle for the right-sided QFT. This uncertainty principle prescribes a lower bound on the product of the effective widths of quaternion-valued signals in the spatial and frequency domains. It is shown that only a Gaussian quaternion signal minimizes the uncertainty.

متن کامل

An Uncertainty Principle for Function Fields

In a recent work [8], Granville and Soundararajan established a so-called “uncertainty principle” for arithmetic sequences. Loosely speaking, this means that sequences of integers which are determined by arithmetic constraints cannot always be well-distributed. In particular, suppose that A is a sequence of integers and S is an integer, such that for all d with (d,S) = 1, the proportion of elem...

متن کامل

An Uncertainty Principle for the Dunkl Transform

The Dunkl transform is an integral transform on R" which generalises the classical Fourier transform. On suitable function spaces, it establishes a natural correspondence between the action of multiplication operators on one hand and so-called Dunkl operators on the other. These are differential-difference operators, generalising the usual partial derivatives, which are associated with a finite...

متن کامل

An Uncertainty Principle for Discrete Signals

By use of window functions, time-frequency analysis tools like Short Time Fourier Transform overcome a shortcoming of the Fourier Transform and enable us to study the timefrequency characteristics of signals which exhibit transient oscillatory behavior. Since the resulting representations depend on the choice of the window functions, it is important to know how they influence the analyses. One ...

متن کامل

An Uncertainty Principle for Arithmetic Sequences

Analytic number theorists usually seek to show that sequences which appear naturally in arithmetic are “well-distributed” in some appropriate sense. In various discrepancy problems, combinatorics researchers have analyzed limitations to equi-distribution, as have Fourier analysts when working with the “uncertainty principle”. In this article we find that these ideas have a natural setting in th...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Nature

سال: 2000

ISSN: 0028-0836,1476-4687

DOI: 10.1038/35008137