Zobrazeno 1 - 10
of 1 452
pro vyhledávání: '"Ruzhansky, M."'
The great success of the theory of hypergeometric series in one variable has stimulated the development of a corresponding theory in two and more variables. Horn has investigated the convergence of 34 (14 complete and 20 confluent) hypergeometric ser
Externí odkaz:
http://arxiv.org/abs/2410.00748
In this paper, we study Fourier multipliers on quantum Euclidean spaces and obtain results on their $L^p -L^q$ boundedness. On the way to get these results, we prove Paley, Hausdorff-Young-Paley, and Hardy-Littlewood inequalities on the quantum Eucli
Externí odkaz:
http://arxiv.org/abs/2312.00657
Autor:
Ruzhansky, M., Yeskermessuly, A.
In this paper we consider an initial/boundary value problem for the Schr\"odinger equation with a right-hand side involving the fractional Sturm-Liouville operator with singular propagation and potential. To construct a solution, first considering th
Externí odkaz:
http://arxiv.org/abs/2310.14305
In this paper we consider the uniform estimates for oscillatory integrals with a two-order homogeneous polynomial phase. The estimate is sharp and the result is an analogue of the more general theorem of V. N. Karpushkin \cite{Karpushkin1983} for suf
Externí odkaz:
http://arxiv.org/abs/2205.06224
In this paper we consider the space-fractional Schr\"odinger equation with a singular potential for a wide class of fractional hypoelliptic operators. Such analysis can be conveniently realised in the setting of graded Lie groups. The paper is a cont
Externí odkaz:
http://arxiv.org/abs/2106.04126
In a rectangular domain, a boundary-value problem is considered for a mixed-type equation with a regularized Caputo-like counterpart of hyper-Bessel differential operator and the bi-ordinal Hilfer's fractional derivative. Using the method of separati
Externí odkaz:
http://arxiv.org/abs/2103.08989
Autor:
Mantoiu, M., Ruzhansky, M.
For a connected simply connected nilpotent Lie group $\G$ with Lie algebra $\g$ and unitary dual $\wG$ one has (a) a global quantization of operator-valued symbols defined on $\G\times\wG$, involving the representation theory of the group, (b) a quan
Externí odkaz:
http://arxiv.org/abs/1611.07581
Publikováno v:
Funct. Anal. Appl., 49 (2015), 226-229
In this note we study Besov, Triebel-Lizorkin, Wiener, and Beurling function spaces on compact Lie groups. A major role in the analysis is played by the Nikolskii inequality.
Comment: In this note (to appear in Funct. Anal. Appl.) we present res
Comment: In this note (to appear in Funct. Anal. Appl.) we present res
Externí odkaz:
http://arxiv.org/abs/1507.07111
Publikováno v:
Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences; Jan2023, Vol. 479 Issue 2269, p1-16, 16p