SwePub
Sök i SwePub databas

  Utökad sökning

Träfflista för sökning "WFRF:(Hedenmalm Håkan) "

Sökning: WFRF:(Hedenmalm Håkan)

  • Resultat 1-10 av 100
Sortera/gruppera träfflistan
   
NumreringReferensOmslagsbildHitta
1.
  • Abkar, A., et al. (författare)
  • A Riesz representation formula for super-biharmonic functions
  • 2001
  • Ingår i: Annales Academiae Scientiarum Fennicae Mathematica. - 1239-629X .- 1798-2383. ; 26:2, s. 305-324
  • Tidskriftsartikel (refereegranskat)abstract
    • Let u be a real-valued function defined on the unit disk D. We call u super-biharmonic provided that u is locally integrable and the bi-laplacian Delta (2)u is a positive distribution on D. In this paper, we shall establish a representation formula for super-biharmonic functions, This formula can be regarded as an analogue of the Poisson-Jensen representation formula for subharmonic functions.
  •  
2.
  • Abuzyarova, Natalia, et al. (författare)
  • Branch point area methods in conformal mapping
  • 2006
  • Ingår i: Journal d'Analyse Mathematique. - 0021-7670 .- 1565-8538. ; 99, s. 177-198
  • Tidskriftsartikel (refereegranskat)abstract
    • The classical estimate of Bieberbach that vertical bar a(2)vertical bar <= 2 for a given univalent function phi(z) = z + a(2)z(2) +... in the class S leads to the best possible pointwise estimates of the ratio phi''(z)/phi'(z) for phi is an element of S, first obtained by K oe be and Bieberbach. For the corresponding class E of univalent functions in the exterior disk, Goluzin found in 1943 by variational methods the corresponding best possible pointwise estimates of psi(z)/psi'(z) for psi is an element of Sigma. It was perhaps surprising that this time, the expressions involve elliptic integrals. Here, we obtain an area-type theorem which has Goluzin's pointwise estimate as a corollary. This shows that Goluzin's estimate, like the K oe be-Bieberbach estimate, is firmly rooted in area-based methods. The appearance of elliptic integrals finds a natural explanation: they arise because a certain associated covering surface of the Riemann sphere is a torus.
  •  
3.
  • Aleman, Alexandru, et al. (författare)
  • Backward Shift and Nearly Invariant Subspaces of Fock-type Spaces
  • 2022
  • Ingår i: International mathematics research notices. - : Oxford University Press (OUP). - 1073-7928 .- 1687-0247. ; 2022:10, s. 7390-7419
  • Tidskriftsartikel (refereegranskat)abstract
    • We study the structure of the backward shift invariant and nearly invariant subspaces in weighted Fock-type spaces ℱWp, whose weight is not necessarily radial. We show that in the spaces ℱWp, which contain the polynomials as a dense subspace (in particular, in the radial case), all nontrivial backward shift invariant subspaces are of the form ℘n, that is, finite-dimensional subspaces consisting of polynomials of degree at most n. In general, the structure of the nearly invariant subspaces is more complicated. In the case of spaces of slow growth (up to zero exponential type), we establish an analogue of de Branges' ordering theorem. We then construct examples that show that the result fails for general Fock-type spaces of larger growth.
  •  
4.
  •  
5.
  •  
6.
  •  
7.
  • Aleman, Alexandru, et al. (författare)
  • Recent progress and open problems in the Bergman space.
  • 2005
  • Ingår i: Oper. Theory Adv. Appl.Operator Theory: Advances and Applications.. ; 156, s. 27-59
  • Tidskriftsartikel (refereegranskat)abstract
    • The aim of this work is to provide a survey of interesting open problems in the theory of Bergman spaces
  •  
8.
  • Ameur, Yacin, et al. (författare)
  • Berezin Transform in Polynomial Bergman Spaces
  • 2010
  • Ingår i: Communications on Pure and Applied Mathematics. - : Wiley. - 0010-3640 .- 1097-0312. ; 63:12, s. 1533-1584
  • Tidskriftsartikel (refereegranskat)abstract
    • Fix a smooth weight function Q in the plane, subject to a growth condition from below Let K-m,K-n denote the reproducing kernel for the Hilbert space of analytic polynomials of degree at most n - 1 of finite L-2-norm with respect to the measure e-(mQ) dA Here dA is normalized area measure, and m is a positive real scaling parameter The (polynomial) Berezin measure dB(m,n)(< z0 >) (z) = K-m,K-n(z(0).z(0))(-1) vertical bar K-m,K-n(z.z(0))vertical bar(2)e(-mQ(z)) dA(z) for the point z(0) is a probability measure that defines the (polynomial) Berezin transform B-m,B-n f(z(0)) = integral(C) f dB(m,n)(< z0 >) for continuous f is an element of L-infinity (C). We analyze the semiclassical limit of the Berezin measure (and transform) as m -> +infinity while n = m tau + o(1), where tau is fixed, positive, and real We find that the Berezin measure for z(0) converges weak-star to the unit point mass at the point z(0) provided that Delta Q(z(0)) > 0 and that z(0) is contained in the interior of a compact set f(tau). defined as the coincidence set for an obstacle problem. As a refinement, we show that the appropriate local blowup of the Berezin measure converges to the standardized Gaussian measure in the plane For points z(0) is an element of C\f(tau), the Berezin measure cannot converge to the point mass at z(0) In the model case Q(z) = vertical bar z vertical bar(2), when f(tau) is a closed disk, we find that the Berezin measure instead converges to harmonic measure at z(0) relative to C\f(tau) Our results have applications to the study of the cigenvalues of random normal matrices The auxiliary results include weighted L-2-estimates for the equation partial derivative u = f when f is a suitable test function and the solution u is restricted by a polynomial growth bound at infinity.
  •  
9.
  • Ameur, Yacin, et al. (författare)
  • FLUCTUATIONS OF EIGENVALUES OF RANDOM NORMAL MATRICES
  • 2011
  • Ingår i: Duke mathematical journal. - : Duke University Press. - 0012-7094 .- 1547-7398. ; 159:1, s. 31-81
  • Tidskriftsartikel (refereegranskat)abstract
    • In this article, we consider a fairly general potential in the plane and the corresponding Boltzmann-Gibbs distribution of eigenvalues of random normal matrices. As the order of the matrices tends to infinity, the eigenvalues condensate on a certain compact subset of the plane-the "droplet." We prove that fluctuations of linear statistics of eigenvalues of random normal matrices converge on compact subsets of the interior of the droplet to a Gaussian field, and we discuss various ramifications of this result.
  •  
10.
  • Ameur, Yacin, et al. (författare)
  • Random normal matrices and ward identities
  • 2015
  • Ingår i: Annals of Probability. - 0091-1798 .- 2168-894X. ; 43:3, s. 1157-1201
  • Tidskriftsartikel (refereegranskat)abstract
    • We consider the random normal matrix ensemble associated with a potential in the plane of sufficient growth near infinity. It is known that asymptotically as the order of the random matrix increases indefinitely, the eigenvalues approach a certain equilibrium density, given in terms of Frostman's solution to the minimum energy problem of weighted logarithmic potential theory. At a finer scale, we may consider fluctuations of eigenvalues about the equilibrium. In the present paper, we give the correction to the expectation of the fluctuations, and we show that the potential field of the corrected fluctuations converge on smooth test functions to a Gaussian free field with free boundary conditions on the droplet associated with the potential.
  •  
Skapa referenser, mejla, bekava och länka
  • Resultat 1-10 av 100
Typ av publikation
tidskriftsartikel (87)
annan publikation (2)
konferensbidrag (2)
doktorsavhandling (2)
bokkapitel (2)
licentiatavhandling (2)
visa fler...
recension (2)
proceedings (redaktörskap) (1)
visa färre...
Typ av innehåll
refereegranskat (91)
övrigt vetenskapligt/konstnärligt (9)
Författare/redaktör
Hedenmalm, Håkan, 19 ... (58)
Hedenmalm, Håkan (39)
Shimorin, Serguei (6)
Wennman, Aron (5)
Aleman, Alexandru (4)
Makarov, Nikolai (4)
visa fler...
Borichev, Alexander (4)
Richter, Stefan (3)
Montes-Rodriguez, Al ... (3)
Ameur, Yacin (3)
Zhu, Kehe (3)
Hedenmalm, Håkan, Pr ... (3)
Abkar, Ali (2)
Bakan, Andrew (2)
Sola, Alan (2)
Lindqvist, Peter (2)
Haimi, Antti (2)
Seip, Kristian (2)
Richter, S. (1)
Andersson, A (1)
Ehrsson, H (1)
Abkar, A. (1)
Abuzyarova, Natalia (1)
Baranov, A. (1)
Sundberg, Carl (1)
Belov, Y. (1)
Korenblum, Boris (1)
Saksman, Eero (1)
Aleman, A. (1)
Beliaev, D (1)
Beliaev, Dmitri (1)
Baranov, Anton (1)
Jakobsson, Stefan (1)
Jakobsson, S (1)
Olofsson, A (1)
Radchenko, Danylo (1)
Viazovska, Maryna (1)
Borichev, Alexander, ... (1)
Borichev, A. (1)
Volberg, A. (1)
Canto-Martín, Franci ... (1)
Elfsson, B (1)
Goden, Julia (1)
Gustav, Behm, 1988- (1)
Björn, Jana, Profess ... (1)
Haimi, Antti, 1984- (1)
Ortega Cerdà, Joaqui ... (1)
Seip, K (1)
Shimorin, Sergei (1)
Montes-Rodriguez, Al ... (1)
visa färre...
Lärosäte
Kungliga Tekniska Högskolan (97)
Lunds universitet (11)
Uppsala universitet (3)
Luleå tekniska universitet (1)
Stockholms universitet (1)
Språk
Engelska (99)
Ryska (1)
Forskningsämne (UKÄ/SCB)
Naturvetenskap (89)

År

Kungliga biblioteket hanterar dina personuppgifter i enlighet med EU:s dataskyddsförordning (2018), GDPR. Läs mer om hur det funkar här.
Så här hanterar KB dina uppgifter vid användning av denna tjänst.

 
pil uppåt Stäng

Kopiera och spara länken för att återkomma till aktuell vy