Extension Phenomena in Mulidimensional Complex Analysis: Correction of the Historical Record

Range, R. Michael
March 2002
Mathematical Intelligencer;Spring2002, Vol. 24 Issue 2, p4
Academic Journal
Introduces the concept of multidimensional complex analysis. Discussions on the complex Euclidean space; Details on the space of holomorphic functions; Versions of the tangential Cauchy-Riemann equations.


Related Articles

  • Erratum to: A mixed breadth-depth first strategy for the branch and bound tree of Euclidean k-center problems. Fayed, Hatem; Atiya, Amir // Computational Optimization & Applications;Apr2013, Vol. 54 Issue 3, p705 

    A correction to the article "A Mixed Breadth-Depth First Strategy for the Branch and Bound Tree of Euclidean k-Center Problems" that was published in a previous issue, is presented.

  • COMPLEX SUBMANIFOLDS OF ALMOST COMPLEX EUCLIDEAN SPACES. DI SCALA, ANTONIO J.; VEZZONI, LUIGI // Quarterly Journal of Mathematics;Dec2010, Vol. 61 Issue 4, p401 

    We prove that a compact Riemann surface can be realized as a pseudo-holomorphic curve of (R4, J), for some almost complex structure J if and only if it is an elliptic curve. Furthermore, we show that any (almost) complex 2n-torus can be holomorphically embedded in (R4n, J) for a suitable almost...

  • Explicit solutions of Grassmannian σ models. Piette, B. // Journal of Mathematical Physics;Oct88, Vol. 29 Issue 10, p2190 

    Classical solutions of the two-dimensional Grassmannian σ models of, respectively, Euclidean and Minkowskian type are compared with each other. Some explicit solutions of both types are constructed and some of their graphs are presented.

  • Multipliers on Dirichlet Type Spaces. Hu, Peng Yan; Shi, Ji Huai // Acta Mathematica Sinica;2001, Vol. 17 Issue 2, p263 

    Abstract In this paper, we characterize the pointwise multiplier space M(D[sub tau], D[sub mu]) of Dirichlet type spaces in the unit ball of C[sup n] for the values of tau, mu in three cases: (i) tau < 0, mu < 0, (ii) tau < mu, (iii) tau >/- mu, tau > n, and construct two functions to show theft...

  • A class of weighted holomorphic Bergman spaces.  // Journal of Computational Analysis & Applications;Jan2011, Vol. 13 Issue 1, p321 

    No abstract available.

  • Differences of Weighted Composition Operators on Hα∞BN. Jineng Dai; Caiheng Ouyang // Journal of Inequalities & Applications;2009, Vol. 2009, Special section p1 

    We study the boundedness and compactness of differences of weighted composition operators on weighted Banach spaces in the unit ball of CN.

  • On the Interpretation of Orthonormal Coordinates for Compositional Data. Fišerová, Eva; Hron, Karel // Mathematical Geosciences;May2011, Vol. 43 Issue 4, p455 

    The simplex with the Aitchison geometry is a natural sample space for compositional data, that is, observations carrying only relative information (especially proportions, percentages, etc., often occurring in the geosciences). For this reason, standard statistical methods that rely on Euclidean...

  • ON CUSP FORM COEFFICIENTS IN NONLINEAR EXPONENTIAL SUMS. QINGFENG SUN // Quarterly Journal of Mathematics;Sep2010, Vol. 61 Issue 3, p363 

    Let f be either a holomorphic Hecke eigenform of weight ? for SL2(Z) with or a Maass Hecke eigenform for SL2(Z) with Laplace eigenvalue � + ?2. In the latter case, Here Ki? is the modified Bessel function of the third kind and e(z) = e2piz. This paper studied the cancelation of the...

  • Free Biholomorphic Classification of Noncommutative Domains. Popescu, Gelu // IMRN: International Mathematics Research Notices;Feb2011, Vol. 2011 Issue 4, p784 

    In this paper, we develop a theory of free holomorphic functions on noncommutative Reinhardt domains , generated by positive regular free holomorphic functions f in n noncommuting variables and by positive integers m = 1, where is the algebra of all bounded linear operators on a Hilbert space ....


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics