ID 110907
Author
Content Type
Departmental Bulletin Paper
Description
In this paper, we study the Fourier transformation of L2loc -functions and L2c-functions in order to investigate the natural statistical phenomena by using the theory of natural statistical physics. Thereby we prove the structure theorems of the image spaces FL2loc and FL2c. We study the convolution f ∗ g of a L2c-function f and a L2loc -function g. Further, we characterize the local Sobolev spaces and the space of solutions of Schrödinger equations. Here assume d ≥ 1. These results are the English version of Ito [17], chapter 5.
Journal Title
Journal of Mathematics
ISSN
13467387
NCID
AA11595324
Volume
49
Start Page
39
End Page
58
Sort Key
39
Published Date
2015
FullText File
language
eng
TextVersion
Publisher
departments
Science and Technology