Operator Theory, Editors: Daniel Alpay, Springer, Basel, 2015, ISBN: 978-3-0348-0666-4 (Print) 978-3-0348-0667-1 (Online)

About: A one-sentence definition of operator theory could be: The study of (linear) continuous operations between topological vector spaces, these being in general (but not exclusively) Fréchet, Banach, or Hilbert spaces (or their duals). Operator theory is thus a very wide field, with numerous facets, both applied and theoretical. There are deep connections with complex analysis, functional analysis, mathematical physics, and electrical engineering, to name a few. Fascinating new applications and directions regularly appear, such as operator spaces, free probability, and applications to Clifford analysis. In our choice of the sections, we tried to reflect this diversity. This is a dynamic ongoing project, and more sections are planned, to complete the picture. We hope you enjoy the reading, and profit from this endeavor.

The work contains a.o. the following two parts:

- General Aspects of Quaternionic and Clifford Analysis
- Further Developments of Quaternionic and Clifford Analysis

These two parts have the content:

Introductory Clifford Analysis

Sommen, Frank (et al.)

Pages 1339-1367

Quaternionic Analysis: Application to Boundary Value Problems

Gürlebeck, Klaus (et al.)

Pages 1369-1391

Function Spaces in Quaternionic and Clifford Analysis

Martin, Mircea

Pages 1393-1422

Quaternionic Analysis and Some Conventional Theories

Shapiro, Michael

Pages 1423-1446

Quaternionic and Clifford Analysis for Non-smooth Domains

Abreu-Blaya, Ricardo (et al.)

Pages 1447-1470

Clifford Analysis for Higher Spin Operators

Eelbode, David

Pages 1471-1490

Fueter Mapping Theorem in Hypercomplex Analysis

Qian, Tao

Pages 1491-1507

Representation Theory in Clifford Analysis

Souček, Vladimír

Pages 1509-1547

Quaternionic and Clifford Analysis in Several Variables

Struppa, Daniele C.

Pages 1549-1578

Hermitian Clifford Analysis

Sabadini, Irene (et al.)

Pages 1581-1608

Discrete Clifford Analysis

Kähler, Uwe (et al.)

Pages 1609-1630

Slice Hyperholomorphic Functions with Values in Some Real Algebras

Struppa, Daniele C.

Pages 1631-1650

Fourier Transforms in Clifford Analysis

Bie, Hendrik De

Pages 1651-1672

Wavelets in Clifford Analysis

Bernstein, Swanhild

Pages 1673-1699

Monogenic Signal Theory

Cerejeiras, Paula (et al.)

Pages 1701-1724

Some Peculiarities of Quaternionic Linear Spaces

Luna-Elizarrarás, Maria Elena (et al.)

Pages 1725-1743

Schur Analysis in the Quaternionic Setting: The Fueter Regular and the Slice Regular Case

Alpay, Daniel (et al.)

Pages 1745-1786

Slice Hyperholomorphic Functional Calculi

Colombo, Fabrizio (et al.)

Pages 1787-1821

The Monogenic Functional Calculus

Jefferies, Brian

Pages 1823-1851

*Source:* Email from springer@sci.scientific-direct.net, 6 Oct. 2015, http://link.springer.com/referencework/10.1007/978-3-0348-0667-1/page/1