Lance W . Nielsen, PhD

Professor

photo placeholder for Nielsen, Lance W

Contact

lnielsen@creighton.edu
College of Arts and Sciences
Mathematics
HLSB - Hixson Lied Science Building - 546

Lance W . Nielsen, PhD

Professor

I am originally from rural western Iowa, outside of Onawa, IA. I received a B.S. double major in mathematics and physics from the University of South Dakota, a M.S. in mathematics from the University of New Hampshire and a Ph.D. in mathematics from the University of Nebraska-Lincoln. My specialization is in the area referred to as Feynman's operational calculus, an area of mathematics closely related to quantum mechanics and quantum electrodynamics which was originated by R. P. Feynman in approximately 1950.

Research Focus

Feynman's operational calculus, complex dimensions and fractal strings.

Department

Mathematics

Position

Professor

Books

  • Johnson Gerald W., etal Feynman's operational calculus and beyond : noncommutativity and time-ordering 2015
  • Advances in Analysis : Problems of Integration
    Nielsen Lance, An integral equation for feynman's operational calculi [Book Chapter] 2012

Publications

  • New York journal of mathematics
    Nielsen Lance, Feynman's operational calculus in topological algebras
    30, p. 844 - 896 2024
  • Integral Equations and Operator Theory
    Nielsen Lance, Feynman’s Operational Calculus with Arbitrary Measures
    94:2 2022
  • New York Journal of Mathematics
    Nielsen Lance, Two approaches to the use of unbounded operators in feynman’s operational calculus
    26, p. 378 - 445 2020
  • Integral Equations and Operator Theory
    Nielsen Lance, Combining Continuous and Discrete Phenomena for Feynman’s Operational Calculus in the Presence of a (C0) Semigroup and Feynman–Kac Formulas with Lebesgue–Stieltjes Measures
    90:1 2018
  • Acta Applicandae Mathematicae
    Nielsen Lance W., Towards a Comprehensive Stability Theory for Feynman's Operational Calculus: The Time Independent Setting
    138:1, p. 59 - 79 2015
  • New York Journal of Mathematics
    Nielsen Lance, A distributional approach to Feynman's operational calculus
    20, p. 377 - 398 2014
  • Advances in Fuzzy Sets and Systems
    Nielsen Lance, etal FUZZY STRICT PREFERENCES AND FUZZY CORES
    13:2, p. 127 - 127 2012
  • Mathematical Physics, Analysis, and Geometry
    Nielsen Lance W., Weak Convergence and Banach Space-Valued Functions: Improving the Stability Theory of Feynman's Operational Calculi
    14:4, p. 279 - 294 2011
  • New York Journal of Mathematics
    Nielsen Lance, Feynman's operational calculi
    16, p. 463 - 488 2010
  • Acta Applicandae Mathematicae
    Nielsen Lance, Feynman's operational calculi
    110:1, p. 409 - 429 2010
  • Critical Review
    Clark Terry D., etal Fuzzy geometry: applied to comparative politics
    2, p. 1 - 12 2008
  • Mathematical Physics Analysis and Geometry
    Nielsen Lance, Weak convergence and vector-valued functions
    10:4, p. 271 - 295 2007
  • Mathematical Physics Analysis and Geometry
    Jefferies Brian, etal Feynman's operational calculi
    10:1, p. 65 - 80 2007
  • Acta Applicandae Mathematicae
    Nielsen Lance, Stability properties for Feynman's operational calculus in the combined continuous/discrete setting
    88:1, p. 47 - 79 2005
  • Rocky Mountain Journal of Mathematics
    Nielsen Lance, Time dependent stability for feynman’s operational calculus
    35:4, p. 1347 - 1368 2005
  • Johnson G W, etal Feynman's operational calculi blending instantaneous and continuous phenomena in Feynman's operational calculi 2004
  • Proceedings of the American Mathematical Society
    Nielsen Lance, Effects of absolute continuity in Feynman's operational calculus
    131:3, p. 781 - 791 2003
  • Acta Applicandae Mathematicae
    Nielsen Lance, Stability properties of Feynman's operational calculus for exponential functions of noncommuting operators
    74:3, p. 265 - 292 2002
  • Journal of the Korean Mathematical Society
    Jefferies Brian, etal Feynman's operational calculi for time dependent noncommuting operators
    38:2, p. 193 - 226 2001
  • Acta Applicandae Mathematica
    Nielsen Lance W., Towards a Comprehensive Stability Theory for Feynman's Operational Calculus: The Time-Dependent Setting
    152:1, p. 1 - 31 -0001