دورية أكاديمية
The Pompeiu Formula for Slice Hyperholomorphic Functions
| العنوان: | The Pompeiu Formula for Slice Hyperholomorphic Functions |
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| المؤلفون: | Colombo, Fabrizio, Sabadini, Irene, Struppa, Daniele C. |
| المصدر: | Mathematics, Physics, and Computer Science Faculty Articles and Research |
| بيانات النشر: | Chapman University Digital Commons |
| سنة النشر: | 2011 |
| المجموعة: | Chapman University Digital Commons |
| مصطلحات موضوعية: | Functions of hypercomplex variables and generalized variables, Integral representations, canonical kernels (Szego, Bergman, etc.), Algebra, Analysis |
| الوصف: | The fundamental result that makes complex analysis into a new discipline, independent from the theory of real variables, is the Cauchy formula, which allows the representation of any holomorphic function through a reproducing holomorphic kernel. This result is in fact an almost immediate application of the Stokes formula, which, in the more general case, offers an integral representation formula for c1 functions. This general representation formula is often known as the Pompeiu formula and can be stated as follows. |
| نوع الوثيقة: | text |
| اللغة: | unknown |
| العلاقة: | https://digitalcommons.chapman.edu/scs_articles/67Test; http://dx.doi.org/10.1307/mmj/1301586309Test |
| DOI: | 10.1307/mmj/1301586309 |
| الإتاحة: | https://doi.org/10.1307/mmj/1301586309Test https://digitalcommons.chapman.edu/scs_articles/67Test |
| حقوق: | University of Michigan, Department of Mathematics |
| رقم الانضمام: | edsbas.1D737860 |
| قاعدة البيانات: | BASE |
| DOI: | 10.1307/mmj/1301586309 |
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