Washek Pfeffer
Encyclopedia
Washek F. Pfeffer is a Czech
-born US mathematician and Emeritus Professor at the University of California, Davis
. Pfeffer is one of the world's pre-eminent authorities on real integration
and has authored several books on the topic of integration, and numerous papers on these topics and others related to many areas of real analysis
and measure theory. Pfeffer gave his name to the Pfeffer integral
, which extends a Riemann-type construction
for the integral of a measurable function both to higher-dimensional domains and, in the case of one dimension, to a superset of the Lebesgue integrable functions.
Czechoslovakia
Czechoslovakia or Czecho-Slovakia was a sovereign state in Central Europe which existed from October 1918, when it declared its independence from the Austro-Hungarian Empire, until 1992...
-born US mathematician and Emeritus Professor at the University of California, Davis
University of California, Davis
The University of California, Davis is a public teaching and research university established in 1905 and located in Davis, California, USA. Spanning over , the campus is the largest within the University of California system and third largest by enrollment...
. Pfeffer is one of the world's pre-eminent authorities on real integration
Integral
Integration is an important concept in mathematics and, together with its inverse, differentiation, is one of the two main operations in calculus...
and has authored several books on the topic of integration, and numerous papers on these topics and others related to many areas of real analysis
Real analysis
Real analysis, is a branch of mathematical analysis dealing with the set of real numbers and functions of a real variable. In particular, it deals with the analytic properties of real functions and sequences, including convergence and limits of sequences of real numbers, the calculus of the real...
and measure theory. Pfeffer gave his name to the Pfeffer integral
Pfeffer integral
In mathematics, the Pfeffer integral is an integration technique created by Washek Pfeffer as an attempt to extend the Henstock integral to a multidimensional domain. This was to be done in such a way that the fundamental theorem of calculus would apply analogously to the theorem in one dimension,...
, which extends a Riemann-type construction
Riemann integral
In the branch of mathematics known as real analysis, the Riemann integral, created by Bernhard Riemann, was the first rigorous definition of the integral of a function on an interval. The Riemann integral is unsuitable for many theoretical purposes...
for the integral of a measurable function both to higher-dimensional domains and, in the case of one dimension, to a superset of the Lebesgue integrable functions.