منابع مشابه
On Harmonic Analysis of Causal Operators ∗
We follow the group representation theory approach to define causal operators on Banach modules and present some of their spectral properties.
متن کاملFourier Operators in Applied Harmonic Analysis
We give a program describing the pervasiveness of the short-time Fourier transform (STFT) in a host of topics including the following: waveform design and optimal ambiguity function behavior for radar and communications applications; vector-valued ambiguity function theory for multi-sensor environments; finite Gabor frames for deterministic compressive sensing and as a background for the HRT co...
متن کاملHarmonic Analysis Related to Schrödinger Operators
In this article we give an overview on some recent development of Littlewood-Paley theory for Schrödinger operators. We extend the LittlewoodPaley theory for special potentials considered in the authors’ previous work. We elaborate our approach by considering potential in C∞ 0 or Schwartz class in one dimension. In particular the low energy estimates are treated by establishing some new and ref...
متن کاملSpectral analysis of non-local Schrödinger operators
We study spectral properties of convolution operators L and their perturbations H = L+ v(x) by compactly supported potentials. Results are applied to determine the front propagation of a population density governed by operator H with a compactly supported initial density provided that H has positive eigenvalues. If there is no positive spectrum, then the stabilization of the population density ...
متن کاملSome Problems in Local Harmonic Analysis
The purpose of this article is to discuss some questions in the harmonic analysis of real and padic groups. We shall be particularly concerned with the properties of a certain family of invariant distributions. These distributions arose naturally in a global context, as the terms on the geometric side of the trace formula. However, they are purely local objects, which include the ordinary invar...
متن کاملذخیره 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: Communications in Mathematical Physics
سال: 1990
ISSN: 0010-3616,1432-0916
DOI: 10.1007/bf02097109