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Log out of ReadCube. The recent definition of slice regular function of several quaternionic variables suggests a new notion of quaternionic manifold.

Serie: Springer Monographs in Mathematics

We give the definition of quaternionic regular manifold, as a space locally modeled on , in a slice regular sense. We exhibit some significant classes of examples, including manifolds which carry a quaternionic affine structure. Volume , Issue If you do not receive an email within 10 minutes, your email address may not be registered, and you may need to create a new Wiley Online Library account.

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If the address matches an existing account you will receive an email with instructions to retrieve your username. Graziano Gentili Corresponding Author E-mail address: gentili math. Volume 4 Issue 1 Jan , pp.

Book Reviews | SIAM Review | Vol. 53, No. 3 | Society for Industrial and Applied Mathematics

Volume 3 Issue 1 Jan , pp. Next Article.

The operator approach to the truncated multidimensional moment problem Some remarks on the Dirichlet problem on infinite trees Berezin number inequalities for operators Quaternionic inner and outer functions Somewhere Dense Orbit that is not Dense on a Complex Hilbert Space. Quaternionic inner and outer functions.

Abstract We study properties of inner and outer functions in the Hardy space of the quaternionic unit ball.

References [1] Alpay, D. Show all. This user-friendly primary source confirms that quaternionic calculus is not a dead end, and clearly answers a popular question regarding the analogy of complex function theory complex analysis with quarternionic variables, making it an excellent basis for a capstone course.

Summing Up: Highly recommended. Upper-division undergraduates through professionals.

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Feldman, Choice, Vol. Zeros Gentili, Graziano et al. In this monograph we provide an overview of fibrewise homotopy theory as it stands at present. It is hoped that this may stimulate further research. The literature on the subject is already quite extensive but clearly there is a great deal more to be done.

Efforts have been made to develop general theories of which ordinary homotopy theory, equivariant homotopy theory, fibrewise homotopy theory and so forth will be special cases.

For example, Baues [7] and, more recently, Dwyer and Spalinski [53], have presented such general theories, derived from an earlier theory of Quillen, but none of these seem to provide quite the right framework for our purposes. We have preferred, in this monograph, to develop fibre wise homotopy theory more or less ab initio, assuming only a basic knowledge of ordinary homotopy theory, at least in the early sections, but our aim has been to keep the exposition reasonably self-contained.

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Buy Softcover. FAQ Policy. About this book Topology occupies a central position in the mathematics of today.