• Coorbit Spaces and Dual Molecules: the Quasi-Banach Case 

      [OWP-2022-08] Van Velthoven, Jordy Timo; Voigtlaender, Felix (Mathematisches Forschungsinstitut Oberwolfach, 2022-05-27)
      This paper provides a self-contained exposition of coorbit spaces associated with integrable group representations and quasi-Banach function spaces. It extends the theory in [Studia Math., 180(3):237–253, 2007] to locally ...
    • An Extension Problem and Trace Hardy Inequality for the Sublaplacian on H-Type Groups 

      [OWP-2017-20] Roncal, Luz; Thangavelu, Sundaram (Mathematisches Forschungsinstitut Oberwolfach, 2017-07-24)
      In this paper we study the extension problem for the sublaplacian on a H-type group and use the solutions to prove trace Hardy and Hardy inequalities for fractional powers of the sublaplacian.
    • Holomorphic automorphic forms and cohomology 

      [OWP-2014-07] Bruggeman, Roelof W.; Ch'oe, Yŏng-ju; Diamantis, Nikolaos (Mathematisches Forschungsinstitut Oberwolfach, 2014-04-25)
      We investigate the correspondence between holomorphic automorphic forms on the upper half-plane with complex weight and parabolic cocycles. For integral weights at least 2 this correspondence is given by the Eichler integral. ...
    • Invariant Four-forms and Symmetric Pairs 

      [OWP-2012-03] Moroianu, Andrei; Semmelmann, Uwe (Mathematisches Forschungsinstitut Oberwolfach, 2012-04-24)
      We give criteria for real, complex and quaternionic representations to define $s$-representations, focusing on exceptional Lie algebras defined by spin representations. As applications, we obtain the classification of ...
    • On Weakly Complete Universal Enveloping Algebras of pro-Lie Algebras 

      [OWP-2020-10] Hofmann, Karl Heinrich; Kramer, Linus (Mathematisches Forschungsinstitut Oberwolfach, 2020-04-27)
    • Real group orbits on flag ind-varieties of SL (∞, C) 

      [OWP-2016-01] Ignatyev, Mikhail V.; Penkov, Ivan; Wolf, Joseph A. (Mathematisches Forschungsinstitut Oberwolfach, 2016-05-10)
      We consider the complex ind-group $G=SL (\infty, \mathbb{C})$ and its real forms $G^0=SU(\infty,\infty)$, $SU(p,\infty)$, $SL(\infty,\mathbb{R})$, $SL(\infty,\mathbb{H})$. Our main object of study are the $G^0$-orbits on ...
    • Time and band limiting for matrix valued functions, an example 

      [OWP-2015-08] Grünbaum, F. A.; Pacharoni, I.; Zurrián, Ignacio Nahuel (Mathematisches Forschungsinstitut Oberwolfach, 2015-07-29)
      The main purpose of this paper is to extend to a situation involving matrix valued orthogonal polynomials and spherical functions, a result that traces its origin and its importance to work of Claude Shannon in laying the ...
    • Torsion-free Covers of Solvable Minimax Groups 

      [OWP-2015-15] Kropholler, Peter H.; Lorensen, Karl (Mathematisches Forschungsinstitut Oberwolfach, 2015-11-18)
      We prove that every finitely generated solvable minimax group can be realized as a quotient of a torsion-free solvable minimax group. This result has an application to the investigation of random walks on finitely generated ...