Fourier Analysis in Several Parameters
نویسندگان
چکیده
منابع مشابه
Fourier Series in Several Variables
0. Preface. This article is a survey of certain aspects of the theory of multiple Fourier and trigonometric series. I t is by no means meant to be a complete survey; for example, it is practically disjoint with the material covered on the subject in Zygmund's book [38, Chapter 17.]. There are eight sections to this survey. §1 is the introduction. §2, §3, and §4 are expository in the sense that ...
متن کاملFourier Analysis on Motion Using Screw Parameters
In this paper, the author presents the bi-invariant (Haar) integral for the group of rigid-body motions (Euclidean group) in three-dimensional space in terms of finite screw parameters, and proceeds to develop the matrix elements of irreducible unitary representations in this parameterization. This allows one to integrate and expand functions of motion described in terms of screw parameters. In...
متن کاملSeveral parameters of generalized Mycielskians
The generalized Mycielskians (also known as cones over graphs) are the natural generalization of the Mycielski graphs (which were first introduced by Mycielski in 1955). Given a graph G and any integer m 0, one can transform G into a new graph m(G), the generalized Mycielskian of G. This paper investigates circular clique number, total domination number, open packing number, fractional open pac...
متن کاملCapturing Spatially Varying Anisotropic Reflectance Parameters using Fourier Analysis
Reflectance parameters condition the appearance of objects in photorealistic rendering. Practical acquisition of reflectance parameters is still a difficult problem. Even more so for spatially varying or anisotropic materials, which increase the number of samples required. In this paper, we present an algorithm for acquisition of spatially varying anisotropic materials, sampling only a small nu...
متن کاملParaproducts in One and Several Parameters
For multiparameter bilinear paraproduct operators B we prove the estimate B : L × L 7→ L, 1 < p, q ≤ ∞. Here, 1/p+ 1/q = 1/r and special attention is paid to the case of 0 < r < 1. (Note that the families of multiparameter paraproducts are much richer than in the one parameter case.) These estimates are the essential step in the version of the multiparameter Coifman-Meyer theorem proved by C. M...
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: Revista Matemática Iberoamericana
سال: 1986
ISSN: 0213-2230
DOI: 10.4171/rmi/27