Henrik Schlichtkrull

Research output

Research output per year 1997 2005 2008 2012 2015 2016 2018 2019 2019

• 40 Journal article
• 3 Book chapter
• 1 Comment/debate
• 1 Conference article

Research output per year

Research output per year

Search results

• 2019

  Classification of reductive real spherical pairs I: the simple case

  Knop, F., Krötz, B., Pecher, T. & Schlichtkrull, H., 2019, In: Transformation Groups. 24, 1, p. 67-114 48 p.

  Research output: Contribution to journal › Journal article › Research › peer-review

  • Subalgebra 100%
  • Algebra 32%
  2 Citations (Scopus)

• K-invariant cusp forms for reductive symmetric spaces of split rank one

  Ban van den, E., Kuit, J. J. & Schlichtkrull, H., 1 Mar 2019, In: Forum Mathematicum. 31, 2, p. 341-349 8 p.

  Research output: Contribution to journal › Journal article › Research › peer-review

  • Cusp Form 100%
  • Series Representation 96%
  • Symmetric Spaces 89%
  • Decomposition 62%
  • Invariant 48%
  7 Downloads (Pure)

• The notion of cusp forms for a class of reductive symmetric spaces of split rank 1

  van den Ban, E. P., Kuit, J. J. & Schlichtkrull, H., 2019, In: Kyoto Journal of Mathematics. 59, 2, p. 471-513 43 p.

  Research output: Contribution to journal › Journal article › Research › peer-review

  • Cusp Form 100%
  • Symmetric Spaces 89%
  • Parabolic Subgroup 34%
  • Series Representation 32%
  • Direct Sum 27%
  8 Downloads (Pure)
• 2018

  Geometric Counting on Wavefront Real Spherical Spaces

  Krötz, B., Sayag, E. & Schlichtkrull, H., 1 Mar 2018, In: Acta Mathematica Sinica. English series. 34, 3, p. 488-531

  Research output: Contribution to journal › Journal article › Research › peer-review

  • Wavefronts 100%
  • Wave Front 87%
  • Eigenvalues and eigenfunctions 80%
  • Counting 65%
  • Error term 38%
  1 Citation (Scopus)

• Harmonic Analysis for Real Spherical Spaces

  Krötz, B. & Schlichtkrull, H., 1 Mar 2018, In: Acta Mathematica Sinica. English series. 34, p. 341-370

  Research output: Contribution to journal › Journal article › Research › peer-review

  • Lie groups 100%
  • Harmonic analysis 85%
  • Reductive Group 73%
  • Harmonic Analysis 73%
  • Homogeneous Space 69%
  2 Citations (Scopus)

• Laplacians on spheres

  Schlichtkrull, H., Trapa, P. & Vogan, D., 1 Dec 2018, In: Sao Paulo Journal of Mathematical Sciences. 12, 2, p. 295-358

  Research output: Contribution to journal › Journal article › Research › peer-review

  • Decomposition 100%
  • Decompose 58%
  • Compact Lie Group 49%
  • Homogeneous Space 45%
  • Irreducible Representation 42%
  2 Citations (Scopus)
• 2017

  Corrigendum: Analytic representation theory of Lie groups: General theory and analytic globalizations of Harish-Chandra modules (Compositio Mathematica (2011) 147 (1581-1607) DOI: 10.1112/S0010437X11005392)

  Gimperlein, H., Krötz, B. & Schlichtkrull, H., 1 Jan 2017, In: Compositio Mathematica. 153, 1, p. 214-217 4 p.

  Research output: Contribution to journal › Comment/debate › Research › peer-review

  • Harish-Chandra Modules 100%
  • Globalization 94%
  • Mathematica 76%
  • Representation Theory 67%
  • Theorem 13%

• The tempered spectrum of a real spherical space

  Knop, F., Krötz, B. & Schlichtkrull, H., Jun 2017, In: Acta Mathematica. 218, 2, p. 319-383

  Research output: Contribution to journal › Journal article › Research › peer-review

  • Wave Front 100%
  • Series Representation 48%
  • Degeneration 47%
  • Subgroup 28%
  • Series 26%
  5 Citations (Scopus)

  55 Downloads (Pure)
• 2016

  Finite orbit decomposition of real flag manifolds

  Krötz, B. & Schlichtkrull, H., 2016, In: Journal of the European Mathematical Society. 18, 6, p. 1391-1403

  Research output: Contribution to journal › Journal article › Research › peer-review

  • Flag Manifold 100%
  • Orbits 70%
  • Orbit 61%
  • Lie groups 58%
  • Decomposition 58%
  6 Citations (Scopus)

• Multiplicity bounds and the subrepresentation theorem for real spherical spaces

  Krötz, B. & Schlichtkrull, H., Apr 2016, In: Transactions of the American Mathematical Society. 368, 4, p. 2749–2762

  Research output: Contribution to journal › Journal article › Research › peer-review

  • Lie groups 100%
  • Harish-Chandra Modules 99%
  • Flag Manifold 84%
  • Parabolic Subgroup 80%
  • Semisimple Lie Group 78%
  12 Citations (Scopus)

• The harmonic analysis of lattice counting on real spherical spaces

  Krötz, B., Sayag, E. & Schlichtkrull, H., 2016, In: Documenta Mathematica. 21, p. 627-660

  Research output: Contribution to journal › Journal article › Research › peer-review

  • Affine Space 100%
  • Harmonic Analysis 92%
  • Symmetric Spaces 88%
  • Randomness 88%
  • Continue 74%
  3 Citations (Scopus)

• Vanishing at infinity on homogeneous spaces of reductive type

  Krötz, B., Sayag, E. & Schlichtkrull, H., 1 Jul 2016, In: Compositio Mathematica. 152, 7, p. 1385-1397

  Research output: Contribution to journal › Journal article › Research › peer-review

  • Homogeneous Space 100%
  • Infinity 67%
  • Reductive Group 35%
  • Stefan Banach 32%
  • Vanish 28%
  2 Citations (Scopus)

• Volume growth, temperedness and integrability of matrix coefficients on a real spherical space

  Knop, F., Krötz, B., Sayag, E. & Schlichtkrull, H., 1 Jul 2016, In: Journal of Functional Analysis. 271, 1, p. 12-36 25 p.

  Research output: Contribution to journal › Journal article › Research › peer-review

  • Schwartz Space 100%
  • Volume Growth 96%
  • Polar decomposition 96%
  • Local Structure 88%
  • Structure Theorem 79%
  7 Citations (Scopus)
• 2015

  Decomposition theorems for triple spaces

  Danielsen, T. H., Krötz, B. & Schlichtkrull, H., Feb 2015, In: Geometriae Dedicata. 174, p. 145-154

  Research output: Contribution to journal › Journal article › Research › peer-review

  • Decomposition Theorem 100%
  • Subgroup 13%
  • Polar decomposition 13%
  • Threefolds 11%
  • Homogeneous Space 10%
  4 Citations (Scopus)

• Simple compactifications and polar decomposition of homogeneous real spherical spaces

  Knop, F., Krötz, B., Sayag, E. & Schlichtkrull, H., 23 Dec 2015, In: Selecta Mathematica. 21, p. 1071–1097

  Research output: Contribution to journal › Journal article › Research › peer-review

  • Polar decomposition 100%
  • Parabolic Subgroup 91%
  • Reductive Group 83%
  • Homogeneous Space 77%
  • Compactification 76%
  12 Citations (Scopus)

• The local structure theorem for real spherical varieties

  Knop, F., Krötz, B. & Schlichtkrull, H., 26 Nov 2015, In: Compositio Mathematica. 151, 11, p. 2145-2159 15 p.

  Research output: Contribution to journal › Journal article › Research › peer-review

  • Spherical Varieties 100%
  • Local Structure 78%
  • Parabolic Subgroup 76%
  • Structure Theorem 70%
  • Orbit 49%
  10 Citations (Scopus)
• 2014

  Decay of matrix coefficients on reductive homogeneous spaces of spherical type

  Krötz, B., Sayag, E. & Schlichtkrull, H., 11 Sept 2014, In: Mathematische Zeitschrift. 278, 1-2, p. 229-249

  Research output: Contribution to journal › Journal article › Research › peer-review

  • Homogeneous Space 100%
  • Decay 81%
  • Coefficient 49%
  • Parabolic Subgroup 16%
  • Reductive Group 15%
  11 Citations (Scopus)

• Inequalities for Jacobi polynomials

  Haagerup, U. & Schlichtkrull, H., Feb 2014, In: Ramanujan Journal. 33, 2, p. 227-246 20 p.

  Research output: Contribution to journal › Journal article › Research › peer-review

  • Uniform Bound 100%
  • Jacobi Polynomials 94%
  • Irreducible Representation 80%
  • Decay 69%
  • Complement 65%
  15 Citations (Scopus)
• 2012

  Cuspidal discrete series for semisimple symmetric spaces

  Andersen, N. B., Flensted-Jensen, M. & Schlichtkrull, H., 15 Oct 2012, In: Journal of Functional Analysis. 263, p. 2384-2408 25 p.

  Research output: Contribution to journal › Journal article › Research › peer-review

  • Symmetric Spaces 100%
  • Semisimple 93%
  • Series 59%
  • Cusp Form 55%
  • Hyperbolic Space 52%
  6 Citations (Scopus)

• On function spaces on symmetric spaces

  Krötz, B. & Schlichtkrull, H., 1 Nov 2012, Representation Theory, Complex Analysis, and Integral Geometry. Birkhäuser Verlag, p. 1-8

  Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research › peer-review

  • Symmetric Spaces 100%
  • Semisimple 93%
  • Function Space 86%
  • Vanish 83%
  • Infinity 66%
  3 Citations (Scopus)

• Polynomial Estimates for c-functions on Reductive Symmetric Spaces

  van den Ban, E. & Schlichtkrull, H., 1 Jan 2012, In: International Mathematics Research Notices. 2012, 6, p. 1201-1229 29 p.

  Research output: Contribution to journal › Journal article › Research › peer-review

  2 Citations (Scopus)
• 2011

  Analytic Representation Theory of Lie Groups: General Theory and Analytic Globalizations of Harish-Chandra Modules

  Gimperlein, H., Kroetz, B. & Schlichtkrull, H., Sept 2011, In: Compositio Mathematica. 147, 5, p. 1581-1607

  Research output: Contribution to journal › Journal article › Research › peer-review

  • Harish-Chandra Modules 100%
  • Globalization 94%
  • Representation Theory 67%
  • Reductive Group 18%
  • Topological Properties 17%
  4 Citations (Scopus)

• Fourier transforms of spherical distributions on compact symmetric spaces

  Olafsson, G. & Schlichtkrull, H., 2011, In: Mathematica Scandinavica. 109, 1, p. 93-113

  Research output: Contribution to journal › Journal article › Research › peer-review

  • Spherical Distribution 100%
  • Compact Space 69%
  • Symmetric Spaces 68%
  • Fourier transform 58%
  • Analytic function 35%
  3 Citations (Scopus)
• 2010

  Fourier series on compact symmetric spaces: K-finite functions of small support

  Schlichtkrull, H. & olafsson, G., 2010, In: Journal of Fourier Analysis and Applications. 16 , 4

  Research output: Contribution to journal › Journal article › Research › peer-review

  • Fourier series 100%
  • Compact Space 86%
  • Symmetric Spaces 86%
  • Hilbert spaces 56%
  • Exponential Type 48%
  3 Citations (Scopus)
• 2009

  Holomorphic extension of eigenfunctions

  Krötz, B. & Schlichtkrull, H., 2009, In: Mathematische Annalen. 345, 4, p. 835-841

  Research output: Contribution to journal › Journal article › Research › peer-review

  1 Citation (Scopus)

• Normal forms for real quadratic forms

  Schlichtkrull, H. & Krötz, B., 2009, In: Archiv der Mathematik. 92, p. 129-136

  Research output: Contribution to journal › Journal article › Research › peer-review
• 2008

  A local Paley-Wiener theorem for compact symmetric spaces

  Schlichtkrull, H. & Olafsson, G., 2008, In: Advances in Mathematics. 218, p. 202-215

  Research output: Contribution to journal › Journal article › Research › peer-review

  12 Citations (Scopus)

• Cuspidal and non-cuspidal discrete series for reductive symmetric spaces

  Schlichtkrull, H., 2008, In: Oberwolfach Reports. 4, p. 2852-2855

  Research output: Contribution to journal › Conference article › Research › peer-review

• Representation theory, Radon transform and the heat equation on a Riemannian symmetric space

  Olafsson, G. & Schlichtkrull, H., 2008, In: Contemporary Mathematics. 449, p. 315-344

  Research output: Contribution to journal › Journal article › Research › peer-review
• 2007

  A Paley-Wiener theorem for distributions on reductive symmetric spaces

  Schlichtkrull, H. & van den Ban, E., 2007, In: Journal Inst Math Jussieu. 6, p. 557-577

  Research output: Contribution to journal › Journal article › Research › peer-review

  2 Citations (Scopus)

• The Segal-Bargmann transform for the heat equation associated with root systems

  Olafsson, G. & Schlichtkrull, H., 2007, In: Advances in Mathematics. 208

  Research output: Contribution to journal › Journal article › Research › peer-review

  8 Citations (Scopus)
• 2006

  A Paley-Wiener theorem for reductive symmetric spaces

  Ban van den, E. P. & Schlichtkrull, H., 2006, In: Annals of Mathematics. 164, p. 879-909

  Research output: Contribution to journal › Journal article › Research › peer-review

  9 Citations (Scopus)
• 2005

  Lie theory. The Paley-Wiener theorem for a reductive symmetric space

  Schlichtkrull, H., 2005, Lie theory. The Paley-Wiener theorem for a reductive symmetric space. 230 ed. Boston: Birkhäuser Verlag, p. 99-134

  Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research

• Paley-Wiener spaces for real reductive Lie groups

  Ban van den, E. P. & Schlichtkrull, H., 2005, In: Indagationes Mathematicae. 16, p. 321-349

  Research output: Contribution to journal › Journal article › Research › peer-review

  3 Citations (Scopus)

• The Plancherel decomposition for a reductive symmetric space I. Spherical functions

  van den Ban, E. & Schlichtkrull, H., 2005, In: Inventiones Mathematicae. 161, p. 453-566

  Research output: Contribution to journal › Journal article › Research › peer-review

  16 Citations (Scopus)

• The Plancherel decomposition for a reductive symmetric space II. Representation theory

  van den Ban, E. & Schlichtkrull, H., 2005, In: Inventiones Mathematicae. 161, p. 567-628

  Research output: Contribution to journal › Journal article › Research › peer-review

  14 Citations (Scopus)
• 2004

  An uncertainty principle related to the Euclidean motion group

  Christensen, J. G. & Schlichtkrull, H., 2004, In: Mathematical Proceedings of the Royal Irish Academy. 104A, p. 249-252

  Research output: Contribution to journal › Journal article › Research › peer-review
• 2003

  On the inversion of the Laplace and Abel transforms for causal symmetric spaces

  Andersen, N. B., Olafsson, G. & Schlichtkrull, H., 2003, In: Forum Mathematicum. 15, p. 701-725

  Research output: Contribution to journal › Journal article › Research › peer-review

  8 Citations (Scopus)
• 2001

  Analytic families of eigenfunctions on a reductive symmetric space

  Ban van den, E. & Schlichtkrull, H., 2001, In: Representation Theory. 5, p. 615-712

  Research output: Contribution to journal › Journal article › Research › peer-review

  7 Citations (Scopus)

• Harmonic analysis on reductive symmetric spaces

  Ban van den, E. & Schlichtkrull, H., 2001, European Congress of Mathematics, Barcelona 2000. Basel: Birkhäuser Verlag, p. 565-582

  Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research
• 2000

  A residue calculus for root systems

  Schlichtkrull, H. & Ban van den, E., 2000, In: Compositio Mathematica. 123, p. 27-72

  Research output: Contribution to journal › Journal article › Research › peer-review

  13 Citations (Scopus)
• 1999

  Fourier inversion on a reductive symmetric space

  Schlichtkrull, H. & Ban van den, E., 1999, In: Acta Mathematica. 182, p. 25-85

  Research output: Contribution to journal › Journal article › Research › peer-review

  20 Citations (Scopus)

• The Paley-Wiener space for the multitemporal wave equation

  Helgason, S. & Schlichtkrull, H., 1999, In: Comm. Pure Appl. Math.. 52, p. 49-52

  Research output: Contribution to journal › Journal article › Research › peer-review

  2 Citations (Scopus)
• 1997

  Fourier transform on a semisimple symmetric space

  Schlichtkrull, H. & Ban van den, E., 1997, In: Inventiones Mathematicae. 130, p. 517-574

  Research output: Contribution to journal › Journal article › Research › peer-review

  27 Citations (Scopus)

• The most continuous part of the Plancherel decomposition for a reductive symmetric space

  Schlichtkrull, H. & Ban van den, E., 1997, In: Ann. of Math.. 145, p. 267-364

  Research output: Contribution to journal › Journal article › Research › peer-review

  47 Citations (Scopus)