---
_id: '64749'
article_type: original
author:
- first_name: Hamza
  full_name: Alzaareer, Hamza
  last_name: Alzaareer
- first_name: Alexander
  full_name: Schmeding, Alexander
  last_name: Schmeding
citation:
  ama: Alzaareer H, Schmeding A. Differentiable mappings on products with different
    degrees of differentiability in the two factors. <i>Expositiones Mathematicae</i>.
    2015;33(2):184–222. doi:<a href="https://doi.org/10.1016/j.exmath.2014.07.002">10.1016/j.exmath.2014.07.002</a>
  apa: Alzaareer, H., &#38; Schmeding, A. (2015). Differentiable mappings on products
    with different degrees of differentiability in the two factors. <i>Expositiones
    Mathematicae</i>, <i>33</i>(2), 184–222. <a href="https://doi.org/10.1016/j.exmath.2014.07.002">https://doi.org/10.1016/j.exmath.2014.07.002</a>
  bibtex: '@article{Alzaareer_Schmeding_2015, title={Differentiable mappings on products
    with different degrees of differentiability in the two factors}, volume={33},
    DOI={<a href="https://doi.org/10.1016/j.exmath.2014.07.002">10.1016/j.exmath.2014.07.002</a>},
    number={2}, journal={Expositiones Mathematicae}, author={Alzaareer, Hamza and
    Schmeding, Alexander}, year={2015}, pages={184–222} }'
  chicago: 'Alzaareer, Hamza, and Alexander Schmeding. “Differentiable Mappings on
    Products with Different Degrees of Differentiability in the Two Factors.” <i>Expositiones
    Mathematicae</i> 33, no. 2 (2015): 184–222. <a href="https://doi.org/10.1016/j.exmath.2014.07.002">https://doi.org/10.1016/j.exmath.2014.07.002</a>.'
  ieee: 'H. Alzaareer and A. Schmeding, “Differentiable mappings on products with
    different degrees of differentiability in the two factors,” <i>Expositiones Mathematicae</i>,
    vol. 33, no. 2, pp. 184–222, 2015, doi: <a href="https://doi.org/10.1016/j.exmath.2014.07.002">10.1016/j.exmath.2014.07.002</a>.'
  mla: Alzaareer, Hamza, and Alexander Schmeding. “Differentiable Mappings on Products
    with Different Degrees of Differentiability in the Two Factors.” <i>Expositiones
    Mathematicae</i>, vol. 33, no. 2, 2015, pp. 184–222, doi:<a href="https://doi.org/10.1016/j.exmath.2014.07.002">10.1016/j.exmath.2014.07.002</a>.
  short: H. Alzaareer, A. Schmeding, Expositiones Mathematicae 33 (2015) 184–222.
date_created: 2026-02-26T20:20:51Z
date_updated: 2026-02-27T07:35:22Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1016/j.exmath.2014.07.002
intvolume: '        33'
issue: '2'
keyword:
- '46E50'
- '26E15'
- 34A12
- '26E25'
- 46T05
language:
- iso: eng
page: 184–222
publication: Expositiones Mathematicae
publication_identifier:
  issn:
  - 0723-0869
quality_controlled: '1'
status: public
title: Differentiable mappings on products with different degrees of differentiability
  in the two factors
type: journal_article
user_id: '178'
volume: 33
year: '2015'
...
---
_id: '64670'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Invariant manifolds for analytic dynamical systems over ultrametric
    fields. <i>Expositiones Mathematicae</i>. 2013;31(2):116–150. doi:<a href="https://doi.org/10.1016/j.exmath.2013.01.009">10.1016/j.exmath.2013.01.009</a>
  apa: Glöckner, H. (2013). Invariant manifolds for analytic dynamical systems over
    ultrametric fields. <i>Expositiones Mathematicae</i>, <i>31</i>(2), 116–150. <a
    href="https://doi.org/10.1016/j.exmath.2013.01.009">https://doi.org/10.1016/j.exmath.2013.01.009</a>
  bibtex: '@article{Glöckner_2013, title={Invariant manifolds for analytic dynamical
    systems over ultrametric fields}, volume={31}, DOI={<a href="https://doi.org/10.1016/j.exmath.2013.01.009">10.1016/j.exmath.2013.01.009</a>},
    number={2}, journal={Expositiones Mathematicae}, author={Glöckner, Helge}, year={2013},
    pages={116–150} }'
  chicago: 'Glöckner, Helge. “Invariant Manifolds for Analytic Dynamical Systems over
    Ultrametric Fields.” <i>Expositiones Mathematicae</i> 31, no. 2 (2013): 116–150.
    <a href="https://doi.org/10.1016/j.exmath.2013.01.009">https://doi.org/10.1016/j.exmath.2013.01.009</a>.'
  ieee: 'H. Glöckner, “Invariant manifolds for analytic dynamical systems over ultrametric
    fields,” <i>Expositiones Mathematicae</i>, vol. 31, no. 2, pp. 116–150, 2013,
    doi: <a href="https://doi.org/10.1016/j.exmath.2013.01.009">10.1016/j.exmath.2013.01.009</a>.'
  mla: Glöckner, Helge. “Invariant Manifolds for Analytic Dynamical Systems over Ultrametric
    Fields.” <i>Expositiones Mathematicae</i>, vol. 31, no. 2, 2013, pp. 116–150,
    doi:<a href="https://doi.org/10.1016/j.exmath.2013.01.009">10.1016/j.exmath.2013.01.009</a>.
  short: H. Glöckner, Expositiones Mathematicae 31 (2013) 116–150.
date_created: 2026-02-26T11:01:41Z
date_updated: 2026-02-27T08:25:56Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1016/j.exmath.2013.01.009
intvolume: '        31'
issue: '2'
keyword:
- 37D10
- 46S10
- '26E30'
- '22E20'
- 37P20
language:
- iso: eng
page: 116–150
publication: Expositiones Mathematicae
publication_identifier:
  issn:
  - 0723-0869
quality_controlled: '1'
status: public
title: Invariant manifolds for analytic dynamical systems over ultrametric fields
type: journal_article
user_id: '178'
volume: 31
year: '2013'
...
---
_id: '64707'
article_type: original
author:
- first_name: W.
  full_name: Bertram, W.
  last_name: Bertram
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
- first_name: K.-H.
  full_name: Neeb, K.-H.
  last_name: Neeb
citation:
  ama: Bertram W, Glöckner H, Neeb K-H. Differential calculus over general base fields
    and rings. <i>Expositiones Mathematicae</i>. 2004;22(3):213–282. doi:<a href="https://doi.org/10.1016/S0723-0869(04)80006-9">10.1016/S0723-0869(04)80006-9</a>
  apa: Bertram, W., Glöckner, H., &#38; Neeb, K.-H. (2004). Differential calculus
    over general base fields and rings. <i>Expositiones Mathematicae</i>, <i>22</i>(3),
    213–282. <a href="https://doi.org/10.1016/S0723-0869(04)80006-9">https://doi.org/10.1016/S0723-0869(04)80006-9</a>
  bibtex: '@article{Bertram_Glöckner_Neeb_2004, title={Differential calculus over
    general base fields and rings.}, volume={22}, DOI={<a href="https://doi.org/10.1016/S0723-0869(04)80006-9">10.1016/S0723-0869(04)80006-9</a>},
    number={3}, journal={Expositiones Mathematicae}, author={Bertram, W. and Glöckner,
    Helge and Neeb, K.-H.}, year={2004}, pages={213–282} }'
  chicago: 'Bertram, W., Helge Glöckner, and K.-H. Neeb. “Differential Calculus over
    General Base Fields and Rings.” <i>Expositiones Mathematicae</i> 22, no. 3 (2004):
    213–282. <a href="https://doi.org/10.1016/S0723-0869(04)80006-9">https://doi.org/10.1016/S0723-0869(04)80006-9</a>.'
  ieee: 'W. Bertram, H. Glöckner, and K.-H. Neeb, “Differential calculus over general
    base fields and rings.,” <i>Expositiones Mathematicae</i>, vol. 22, no. 3, pp.
    213–282, 2004, doi: <a href="https://doi.org/10.1016/S0723-0869(04)80006-9">10.1016/S0723-0869(04)80006-9</a>.'
  mla: Bertram, W., et al. “Differential Calculus over General Base Fields and Rings.”
    <i>Expositiones Mathematicae</i>, vol. 22, no. 3, 2004, pp. 213–282, doi:<a href="https://doi.org/10.1016/S0723-0869(04)80006-9">10.1016/S0723-0869(04)80006-9</a>.
  short: W. Bertram, H. Glöckner, K.-H. Neeb, Expositiones Mathematicae 22 (2004)
    213–282.
date_created: 2026-02-26T12:10:36Z
date_updated: 2026-02-27T07:51:59Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1016/S0723-0869(04)80006-9
extern: '1'
intvolume: '        22'
issue: '3'
keyword:
- 58C20
- '22E65'
- '26E15'
- '26E20'
- '26E30'
language:
- iso: eng
page: 213–282
publication: Expositiones Mathematicae
publication_identifier:
  issn:
  - 0723-0869
quality_controlled: '1'
status: public
title: Differential calculus over general base fields and rings.
type: journal_article
user_id: '178'
volume: 22
year: '2004'
...