Preface, Contents

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Foreword, Contents, List of Participants, Program

Kamil Rusek (1991)

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Foreword, Contents, List of participants, Lectures and short communications

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Topologies defined by some invariant pseudodistances

Theodore Barth (1995)

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Monogenic functions in conformal geometry.

Eastwood, Michael, Ryan, John (2007)

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Supercomplex structures, surface soliton equations, and quasiconformal mappings

Julian Ławrynowicz, Katarzyna Kędzia, Osamu Suzuki (1991)

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Hurwitz pairs and triples are discussed in connection with algebra, complex analysis, and field theory. The following results are obtained: (i) A field operator of Dirac type, which is called a Hurwitz operator, is introduced by use of a Hurwitz pair and its characterization is given (Theorem 1). (ii) A field equation of the elliptic Neveu-Schwarz model of superstring theory is obtained from the Hurwitz pair (⁴,³) (Theorem 2), and its counterpart connected with the Hurwitz triple $(^{11},^{11},^{26})$ is...

Plurisubharmonic extension in non-degenerate analytic polyhedra.

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Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

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Extension phenomena for holomorphic geometric structures.

Mckay, Benjamin (2009)

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A Kontinuitätssatz

Evgeni Chirka, Edgar Stout (1995)

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On continuation of regular solutions of linear partial differential equations

Akira Kaneko (1992)

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Fischer decompositions in Euclidean and Hermitean Clifford analysis

Freddy Brackx, Hennie de Schepper, Vladimír Souček (2010)

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Euclidean Clifford analysis is a higher dimensional function theory studying so–called monogenic functions, i.e. null solutions of the rotation invariant, vector valued, first order Dirac operator $\underset{̲}{\partial}$ . In the more recent branch Hermitean Clifford analysis, this rotational invariance has been broken by introducing a complex structure $J$ on Euclidean space and a corresponding second Dirac operator ${\underset{̲}{\partial}}_{J}$ , leading to the system of equations $\underset{̲}{\partial} f = 0 = {\underset{̲}{\partial}}_{J} f$ expressing so-called Hermitean monogenicity. The invariance...

Subordination theory for holomorphic mappings of several complex variables

Gabriela Kohr, Mirela Kohr-Ile (1996)

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The authors obtain a generalization of Jack-Miller-Mocanu’s lemma and, using the technique of subordinations, deduce some properties of holomorphic mappings from the unit polydisc in $ℂ^{n}$ into $ℂ^{n}$ .

On the global solvability of linear partial differential equations with constant coefficients in the space of real analytic functions

Akira Kaneko (1996)

Banach Center Publications

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This article surveys results on the global surjectivity of linear partial differential operators with constant coefficients on the space of real analytic functions. Some new results are also included.