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Lance Nielsen, PhD

Professor

  • 71 Citations
  • 5 h-Index
20012018
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Operational Calculus Mathematics
Stability Theory Mathematics
Operator Mathematics
Probability Measure Mathematics
Weak Convergence Mathematics
Integral Equations Mathematics
Evolution Equation Mathematics
Theorem Mathematics

Research Output 2001 2018

  • 71 Citations
  • 5 h-Index
  • 14 Article
  • 1 Chapter

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

Nielsen, L., Feb 1 2018, In : Integral Equations and Operator Theory. 90, 1, 12.

Research output: Contribution to journal › Article

Operational Calculus
Feynman-Kac Formula
C0-semigroup
Integral Equations
Semigroup of Linear Operators

Towards a Comprehensive Stability Theory for Feynman’s Operational Calculus: The Time-Dependent Setting

Nielsen, L., Jun 16 2017, (Accepted/In press) In : Acta Applicandae Mathematicae. p. 1-31 31 p.

Research output: Contribution to journal › Article

Operational Calculus
Stability Theory
Theorem
Mathematical operators
Stability Theorem

A distributional approach to Feynman's operational calculus

Nielsen, L., 2014, In : New York Journal of Mathematics. 20, p. 377-398 22 p.

Research output: Contribution to journal › Article

Operational Calculus
Operator
Schwartz Space
Compact Support
Several Variables
1 Citation (Scopus)

Towards a Comprehensive Stability Theory for Feynman’s Operational Calculus: The Time Independent Setting

Nielsen, L., Jul 10 2014, In : Acta Applicandae Mathematicae. 138, 1, p. 59-79 21 p.

Research output: Contribution to journal › Article

Operational Calculus
Stability Theory
Clifford Algebra
Theorem
Algebra

An integral equation for Feynman's operational calculi

Nielsen, L., 2012, Advances in Analysis: Problems of Integration. Nova Science Publishers, Inc, p. 263-280 18 p.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Operational Calculus
Integral Equations
Feynman Integrals
Schrodinger Equation
Heat Equation