We compute Haar ensemble averages of ratios of random characteristic polynomials for the classical Lie groups $$K = \mathrm {O}_N\,$$ , $$\mathrm {SO}_N\,$$ , and $$\mathrm {USp}_N\,$$ . To that end, we start from the Clifford–Weyl algebra in its canonical realization on the complex $$\fancyscript {A}_V$$ of holomorphic differential forms for a $$\mathbb {C} $$…
Complex Analysis and its Synergies Template
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About the Complex Analysis and its Synergies format
Complex Analysis and its Synergies is a peer-reviewed journal published by Springer Nature, covering Holomorphic and Operator Theory, Analytic and geometric function theory, Algebraic and Geometric Analysis.
| Publisher | Springer Nature |
|---|---|
| Reference style | Numbered (Springer) Numbered — [1], [2] in the text 1. Smith, A., Jones, B., Lee, C.: A representative article title. Complex Analysis and its Synergies 12, 45–58 (2023)
Formats any DOI in Complex Analysis and its Synergies style. No sign-up. |
| Publishes research in | Holomorphic and Operator Theory Analytic and geometric function theory Algebraic and Geometric Analysis Meromorphic and Entire Functions Geometry and complex manifolds |
| ISSN | 2197-120X |
| Citation impact (2-yr) | 0.66 |
| h-index | 8 |
| i10-index | 4 |
| Total citations | 304 |
| Article processing charge | $2,790 |
| Top institutions publishing here | Rutgers, The State University of New Jersey |
| Journal website | link.springer.com |
| You get | A submission-ready PDF and the editable LaTeX source — ready to submit. |
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Most-cited papers in Complex Analysis and its Synergies
Abstract The notion of supershift generalizes that one of superoscillation and expresses the fact that the sampling of a function in an interval allows to compute the values of the function outside the interval. In a previous paper, we discussed the case in which the sampling of the function is regular and we are considering…