---
_id: '64681'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  last_name: Glöckner
- first_name: Lutz G.
  full_name: Lucht, Lutz G.
  last_name: Lucht
- first_name: Štefan
  full_name: Porubský, Štefan
  last_name: Porubský
citation:
  ama: Glöckner H, Lucht LG, Porubský Š. General Dirichlet series, arithmetic convolution
    equations and Laplace transforms. <i>Studia Mathematica</i>. 2009;193(2):109–129.
    doi:<a href="https://doi.org/10.4064/sm193-2-2">10.4064/sm193-2-2</a>
  apa: Glöckner, H., Lucht, L. G., &#38; Porubský, Š. (2009). General Dirichlet series,
    arithmetic convolution equations and Laplace transforms. <i>Studia Mathematica</i>,
    <i>193</i>(2), 109–129. <a href="https://doi.org/10.4064/sm193-2-2">https://doi.org/10.4064/sm193-2-2</a>
  bibtex: '@article{Glöckner_Lucht_Porubský_2009, title={General Dirichlet series,
    arithmetic convolution equations and Laplace transforms}, volume={193}, DOI={<a
    href="https://doi.org/10.4064/sm193-2-2">10.4064/sm193-2-2</a>}, number={2}, journal={Studia
    Mathematica}, author={Glöckner, Helge and Lucht, Lutz G. and Porubský, Štefan},
    year={2009}, pages={109–129} }'
  chicago: 'Glöckner, Helge, Lutz G. Lucht, and Štefan Porubský. “General Dirichlet
    Series, Arithmetic Convolution Equations and Laplace Transforms.” <i>Studia Mathematica</i>
    193, no. 2 (2009): 109–129. <a href="https://doi.org/10.4064/sm193-2-2">https://doi.org/10.4064/sm193-2-2</a>.'
  ieee: 'H. Glöckner, L. G. Lucht, and Š. Porubský, “General Dirichlet series, arithmetic
    convolution equations and Laplace transforms,” <i>Studia Mathematica</i>, vol.
    193, no. 2, pp. 109–129, 2009, doi: <a href="https://doi.org/10.4064/sm193-2-2">10.4064/sm193-2-2</a>.'
  mla: Glöckner, Helge, et al. “General Dirichlet Series, Arithmetic Convolution Equations
    and Laplace Transforms.” <i>Studia Mathematica</i>, vol. 193, no. 2, 2009, pp.
    109–129, doi:<a href="https://doi.org/10.4064/sm193-2-2">10.4064/sm193-2-2</a>.
  short: H. Glöckner, L.G. Lucht, Š. Porubský, Studia Mathematica 193 (2009) 109–129.
date_created: 2026-02-26T11:17:15Z
date_updated: 2026-02-27T08:22:20Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.4064/sm193-2-2
intvolume: '       193'
issue: '2'
keyword:
- 11A25
- 44A10
- 46H30
language:
- iso: eng
page: 109–129
publication: Studia Mathematica
publication_identifier:
  issn:
  - 0039-3223
quality_controlled: '1'
status: public
title: General Dirichlet series, arithmetic convolution equations and Laplace transforms
type: journal_article
user_id: '178'
volume: 193
year: '2009'
...
---
_id: '64710'
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: 'Glöckner H. <i>Positive Definite Functions on Infinite-Dimensional Convex
    Cones</i>. Vol 789. Providence, RI: American Mathematical Society (AMS); 2003.
    doi:<a href="https://doi.org/10.1090/memo/0789">10.1090/memo/0789</a>'
  apa: 'Glöckner, H. (2003). <i>Positive definite functions on infinite-dimensional
    convex cones</i> (Vol. 789). Providence, RI: American Mathematical Society (AMS).
    <a href="https://doi.org/10.1090/memo/0789">https://doi.org/10.1090/memo/0789</a>'
  bibtex: '@book{Glöckner_2003, series={Memoirs of the American Mathematical Society},
    title={Positive definite functions on infinite-dimensional convex cones}, volume={789},
    DOI={<a href="https://doi.org/10.1090/memo/0789">10.1090/memo/0789</a>}, publisher={Providence,
    RI: American Mathematical Society (AMS)}, author={Glöckner, Helge}, year={2003},
    collection={Memoirs of the American Mathematical Society} }'
  chicago: 'Glöckner, Helge. <i>Positive Definite Functions on Infinite-Dimensional
    Convex Cones</i>. Vol. 789. Memoirs of the American Mathematical Society. Providence,
    RI: American Mathematical Society (AMS), 2003. <a href="https://doi.org/10.1090/memo/0789">https://doi.org/10.1090/memo/0789</a>.'
  ieee: 'H. Glöckner, <i>Positive definite functions on infinite-dimensional convex
    cones</i>, vol. 789. Providence, RI: American Mathematical Society (AMS), 2003.'
  mla: 'Glöckner, Helge. <i>Positive Definite Functions on Infinite-Dimensional Convex
    Cones</i>. Providence, RI: American Mathematical Society (AMS), 2003, doi:<a href="https://doi.org/10.1090/memo/0789">10.1090/memo/0789</a>.'
  short: 'H. Glöckner, Positive Definite Functions on Infinite-Dimensional Convex
    Cones, Providence, RI: American Mathematical Society (AMS), 2003.'
date_created: 2026-02-26T12:14:23Z
date_updated: 2026-02-27T07:49:35Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1090/memo/0789
extern: '1'
intvolume: '       789'
keyword:
- 43A35
- 20M30
- 44A10
- '46E22'
- 43A65
language:
- iso: eng
publication_identifier:
  isbn:
  - 978-0-8218-3256-1; 978-1-4704-0387-4
  issn:
  - 0065-9266
publisher: 'Providence, RI: American Mathematical Society (AMS)'
quality_controlled: '1'
series_title: Memoirs of the American Mathematical Society
status: public
title: Positive definite functions on infinite-dimensional convex cones
type: book
user_id: '178'
volume: 789
year: '2003'
...
---
_id: '64726'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Representations of cones and conelike semigroups. <i>Semigroup
    Forum</i>. 2000;60(2):326–333. doi:<a href="https://doi.org/10.1007/s002339910025">10.1007/s002339910025</a>
  apa: Glöckner, H. (2000). Representations of cones and conelike semigroups. <i>Semigroup
    Forum</i>, <i>60</i>(2), 326–333. <a href="https://doi.org/10.1007/s002339910025">https://doi.org/10.1007/s002339910025</a>
  bibtex: '@article{Glöckner_2000, title={Representations of cones and conelike semigroups},
    volume={60}, DOI={<a href="https://doi.org/10.1007/s002339910025">10.1007/s002339910025</a>},
    number={2}, journal={Semigroup Forum}, author={Glöckner, Helge}, year={2000},
    pages={326–333} }'
  chicago: 'Glöckner, Helge. “Representations of Cones and Conelike Semigroups.” <i>Semigroup
    Forum</i> 60, no. 2 (2000): 326–333. <a href="https://doi.org/10.1007/s002339910025">https://doi.org/10.1007/s002339910025</a>.'
  ieee: 'H. Glöckner, “Representations of cones and conelike semigroups,” <i>Semigroup
    Forum</i>, vol. 60, no. 2, pp. 326–333, 2000, doi: <a href="https://doi.org/10.1007/s002339910025">10.1007/s002339910025</a>.'
  mla: Glöckner, Helge. “Representations of Cones and Conelike Semigroups.” <i>Semigroup
    Forum</i>, vol. 60, no. 2, 2000, pp. 326–333, doi:<a href="https://doi.org/10.1007/s002339910025">10.1007/s002339910025</a>.
  short: H. Glöckner, Semigroup Forum 60 (2000) 326–333.
date_created: 2026-02-26T13:28:00Z
date_updated: 2026-02-26T13:29:42Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1007/s002339910025
extern: '1'
intvolume: '        60'
issue: '2'
keyword:
- 43A35
- 44A10
- 43A65
- 47B15
language:
- iso: eng
page: 326–333
publication: Semigroup Forum
publication_identifier:
  issn:
  - 0037-1912
quality_controlled: '1'
status: public
title: Representations of cones and conelike semigroups
type: journal_article
user_id: '178'
volume: 60
year: '2000'
...