Results 41 to 50 of about 998,953 (172)

Towards a Generalized Distribution Formalism for Gauge Quantum Fields

, 1994
We prove that the distributions defined on the Gelfand-Shilov spaces, and hence more singular than hyperfunctions, retain the angular localizability property. Specifically, they have uniquely determined support cones. This result enables one to develop a
A. I. Oksak, A. Jaffe, A. S. Wightman, E. Bruning, G. Morchio, H. H. Schaefer, H. Komatsu, I. M. Gelfand, L. Hörmander, M. A. Soloviev, M. A. Soloviev, M. A. Soloviev, M. A. Soloviev, M. A. Soloviev, N. N. Meiman, T. Kawai, U. Moschella, U. Moschella, U. Moschella, V. S. Vladimirov, V. Ya. Fainberg, W. Lücke, W. Lücke   +22 more
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Wiman’s type inequalities without exceptional sets for random entire functions of several variables [PDF]

Математичні Студії, 2012
In the paper we {consider entire} functions $ fcolonmathbb{C}^pomathbb{C}, pgeq 2, $ defined by power series$ f(z)=f(z_1,ldots,z_p)=sum_{|n|=0}^{+infty}a_n z^n, %pgeq2, $ $z^n=z_1^{n_1}cdotldotscdot z_p^{n_p},$$n=(n_1,ldots,n_p).$ For $r=(r_1,ldots,r_p ...
A. O. Kuryliak, O. B. Skaskiv
doaj  

Monodromy and normal forms

, 2015
We discuss the history of the monodromy theorem, starting from Weierstra\ss, and the concept of monodromy group. From this viewpoint we compare then the Weierstra\ss , the Legendre and other normal forms for elliptic curves, explaining their geometric ...
Catanese, Fabrizio
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Weighted integral representations of entire functions of several complex variables

Bulletin of the Belgian Mathematical Society - Simon Stevin, 2008
Let \(H_{s, \gamma}^p ({\mathbb C^n})\) be the space of all entire functions \(f(z), z \in {\mathbb C^n}\) such that \[ \int_{\mathbb R^n} \left (\int_{\mathbb R^n} | f (x + i y)| ^p d x \right )^s | y| ^{\alpha} e^{- \sigma | y| ^{\rho}} \,d y < + \infty.
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Uniqueness of polynomial canonical representations

, 2007
Let P(z) and Q(y) be polynomials of the same degree k>=1 in the complex variables z and y, respectively. In this extended abstract we study the non-linear functional equation P(z)=Q(y(z)), where y(z) is restricted to be analytic in a neighborhood of z=0.
Lladser, Manuel
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The product and existence theorems for analytic functions in a polydisc of bounded $L$-index in direction

Researches in Mathematics
For functions analytic in the unit polydisc with bounded $L$-index in a direction there are presented three various results. The product theorem specifies that the product of analytic functions of bounded $L$-index in direction belongs to the same class.
A.I. Bandura, I.M. Hural, L.M. Shehda, O.B. Skaskiv, L.R. Smolovyk   +4 more
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Integrated modelling of cost-effective siting and operation of flow-control infrastructure for river ecosystem conservation

, 2011
Wetland and floodplain ecosystems along many regulated rivers are highly stressed, primarily due to a lack of environmental flows of appropriate magnitude, frequency, duration, and timing to support ecological functions.
A. J. Higgins, Abolpour, Acreman, Amini, Arthington, Arthington, B. A. Bryan, Bednarek, Bramel, Bryan, Bunn, Cardwell, Christofides, Chu, D. King, Debecker, Fisher, Galat, Ghiani, Harman, Higgins, Holland, I. C. Overton, J. D. Connor, K. Holland, Kingsford, Laguna, Lind, M. Nolan, Mousavi, Osman, Overton, Palmer, Poff, Poff, R. E. Lester, Raymond, Reddy, Richter, Rood, Schluter, Schluter, Shiah, Shiau, Stewart-Koster, Suen, Tilmant, Tu, Xevi   +48 more
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Entire Functions of Several Complex Variables Bounded Outside a Set of Finite Volume

Publications of the Research Institute for Mathematical Sciences, 1987
Let f(z) be a transcendental entire function and \(M(r)= \max | f(z)|\) for \(| z| =r\). For simplicity, denote \(L(r)=(\log \log \log M(r))/(\log r).\) \textit{A. Edrei} and \textit{P. Erdős} [Acta Math. Hung. 45, 367-376 (1985; Zbl 0578.30018)] showed that if \(\limsup\) or the weaker assumption \(\liminf\) of L(r) is less than 2 as \(r\to +\infty\),
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A study on bornological properties of the space of entire functions of several complex variables

Tamkang Journal of Mathematics, 2002
Spaces of entire functions of several complex variables occupy an important position in view of their vast applications in various branches of mathematics, for instance, the classical analysis, theory of approximation, theory of topological bases etc.
Abdul-Hussein, Mushtaq Shaker, Srivastava, G. S.   +1 more
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Minisuperspace Examples of Quantization Using Canonical Variables of the Ashtekar Type: Structure and Solutions

, 1995
The Ashtekar variables have been use to find a number of exact solutions in quantum gravity and quantum cosmology. We investigate the origin of these solutions in the context of a number of canonical transformations (both complex and real) of the basic ...
A. Ashtekar, A. Lafiti, A. Taub, C. Misner, H. Kodama, H. Kodama, I. E. Segal, J. F. Barbero, J. Fernando Barbero, J. Hartle, K. Kuchař, M. Ryan, Michael P. Ryan, O. Obregon, P. D'Eath, R. Graham, V. Bargmann, V. Belinskii, V. Moncrief   +18 more
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