A Plancherel Theorem On a Noncommutative Hypergroup

نویسندگان

چکیده

Let G be a locally compact hypergroup and let K sub-hypergroup of G. (G, K) is Gelfand pair if Mc(G//K), the algebra measures with support on double coset G//K, commutative for convolution. In this paper, assuming that pair, we define study Fourier transform then establish Plancherel theorem K).

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

• Fourier transform and Plancherel Theorem

When we try to transfer these three concepts to a “curved manifold” M , the situation becomes instantly very complicated. Let us look for an appropriate class of M ’s for which we can expect satisfactory answers. We need the requirement to measure distances, so M should be Riemannian. In order to have a reasonable theory of selfadjoint operators on M we also need completeness. But still the cla...

متن کامل

A noncommutative extension of Mahler's theorem on interpolation series

In this paper, we prove an extension of Mahler’s theorem on interpolation series, a celebrated result of p-adic analysis. Mahler’s original result states that a function from N to Z is uniformly continuous for the p-adic metric dp if and only if it can be uniformly approximated by polynomial functions. We prove the same result for functions from a free monoid A∗ to Z, where dp is replaced by th...

متن کامل

A noncommutative generalization of Auslander's last theorem

In 1966 [1], Auslander introduced a class of finitely generated modules having a certain complete resolution by projective modules. Then using these modules, he defined the G-dimension (G ostensibly for Gorenstein) of finitely generated modules. It seems appropriate then to call the modules of G-dimension 0 the Gorenstein projective modules. In [4], Gorenstein projective modules (whether finite...

متن کامل

Uperieure S Ormale N Ecole Département De Mathématiques Et Applications a Plancherel Formula on Sp 4 a Plancherel Formula on Sp 4 a Plancherel Formula on Sp 4

In HC], Harish-Chandra derived the Plancherel formula on p-adic groups. However, to have an explicit formula, one will have to compute the measures appearing in the formula. Here, we compute Plancherel measures on Sp 4 over p-adic elds explicitly.

متن کامل

A note on spectral mapping theorem

This paper aims to present the well-known spectral mapping theorem for multi-variable functions.

متن کامل

ذخیره 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: International Journal of Analysis and Applications

سال: 2022

ISSN: ['2291-8639']

DOI: https://doi.org/10.28924/2291-8639-20-2022-32