N-strongly quasi-invariant measure on double coset spaces
Volume 9, Issue 1, 2022, Pages 67-84
https://doi.org/10.22072/wala.2022.550186.1370
Fatemeh Fahimian, Rajab Ali Kamyabi Gol, Fatemeh Esmaeelzadeh
Abstract Let $G$ be a locally compact group, $H$ and $K$ be two closed subgroups of $G$, and $N$ be the normalizer group of $K$ in $G$. In this paper, the existence and properties of a rho-function for the triple $(K, G, H)$ and an $N$-strongly quasi-invariant measure of double coset space $K \backslash G /H$ is investigated. In particular, it is shown that any such measure arises from a rho-function. Furthermore, the conditions under which an $N$-strongly quasi-invariant measure arises from a rho-function are studied.
نمایش انتگرالپذیر مربعی روی فضای همگن از گروه حاصلضرب نیممستقیم
Volume 6, Issue 1, 2019, Pages 19-36
https://doi.org/10.22072/wala.2019.90496.1186
فاطمه اسماعیلزاده
Abstract در این مقاله، ابتدا نمایشهای انتگرالپذیر مربعی از فضاهای همگن نسبت به اندازه پایای نسبی معرفی میشود. سپس شرط لازم و کافی برای انتگرالپذیر مربعی از گروه حاصلضرب نیممستقیم و فضای همگن این گروهها نشان داده میشود. بنابراین ارتباط بین موجکهای پذیرفتنی از این گروهها و فضای همگن آنها ارائه میگردد.
On the two-wavelet localization operators on homogeneous spaces with relatively invariant measures
Volume 4, Issue 2, 2017, Pages 1-12
https://doi.org/10.22072/wala.2017.61228.1109
Fatemeh Esmaeelzadeh, Rajab Ali Kamyabi-Gol, Reihaneh Raisi Tousi
Abstract In the present paper, we introduce the two-wavelet localization operator for the square integrable representation of a homogeneous space with respect to a relatively invariant measure. We show that it is a bounded linear operator. We investigate some properties of the two-wavelet localization operator and show that it is a compact operator and is contained in a Schatten $p$-class.