Harmonic analysis for the bi-free partial S -transform
نویسندگان
چکیده
منابع مشابه
A unified theoretical harmonic analysis approach to the cyclic wavelet transform (CWT) for periodic signals of prime dimensions
The article introduces cyclic dilation groups and finite affine groups for prime integers, and as an application of this theory it presents a unified group theoretical approach for the cyclic wavelet transform (CWT) of prime dimensional periodic signals.
متن کاملCharacters, bi-modules and representations in Lie group harmonic analysis
This paper is a personal look at some issues in the representation theory of Lie groups having to do with the role of commutative hypergroups, bi-modules, and the construction of representations. We begin by considering Frobenius’ original approach to the character theory of a finite group and extending it to the Lie group setting, and then introduce bi-modules as objects intermediate between c...
متن کاملa unified theoretical harmonic analysis approach to the cyclic wavelet transform (cwt) for periodic signals of prime dimensions
the article introduces cyclic dilation groups and finite affine groups for prime integers, and as an application of this theory it presents a unified group theoretical approach for the cyclic wavelet transform (cwt) of prime dimensional periodic signals.
متن کاملBi-harmonic Functions on Groups
| Two natural deenitions of bi-harmonic functions on countable groups are shown to essentially coincide. Criteria of absence of non-constant bounded bi-harmonic functions are formulated. A description of these functions for free groups is given. Fonctions bi-harmoniques sur les groupes R esum e R esum e | Nous montrons l' equivalence essentielle de deux d eenitions naturelles des fonctions bi-h...
متن کاملSpherical Harmonic Transform Algorithms
A collection of MATLAB classes for computing and using spherical harmonic transforms is presented. Methods of these classes compute differential operators on the sphere and are used to solve simple partial differential equations in a spherical geometry. The spectral synthesis and analysis algorithms using fast Fourier transforms and Legendre transforms with the associated Legendre functions are...
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: Journal of Functional Analysis
سال: 2018
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2017.07.006