On the finite Hilbert transform
Thesis/Dissertation
·
OSTI ID:6999040
Several aspects of the finite Hilbert transform are investigated. Among these are its relevance to the boundary value problems in potential theory, its actions on various function spaces, specific formulas for its effects on Chebychev polynomials, and solvability of the airfoil equation. Some of the results obtained are re-derivations of classical formulas and discussions of their full range of validity. The formulas for the finite Hilbert transform involving Chebychev polynomials lead to explicit solutions of certain boundary problems.
- Research Organization:
- USS Engineers and Consultants, Inc., Pittsburgh, PA (USA)
- OSTI ID:
- 6999040
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
657000 -- Theoretical & Mathematical Physics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
99 GENERAL AND MISCELLANEOUS
990200* -- Mathematics & Computers
AIRFOILS
BOUNDARY-VALUE PROBLEMS
CALCULATION METHODS
DATA
DATA ANALYSIS
FUNCTIONS
HILBERT TRANSFORMATION
INFORMATION
INTEGRAL TRANSFORMATIONS
MATHEMATICAL MODELS
NUMERICAL DATA
POLYNOMIALS
THEORETICAL DATA
TRANSFORMATIONS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
99 GENERAL AND MISCELLANEOUS
990200* -- Mathematics & Computers
AIRFOILS
BOUNDARY-VALUE PROBLEMS
CALCULATION METHODS
DATA
DATA ANALYSIS
FUNCTIONS
HILBERT TRANSFORMATION
INFORMATION
INTEGRAL TRANSFORMATIONS
MATHEMATICAL MODELS
NUMERICAL DATA
POLYNOMIALS
THEORETICAL DATA
TRANSFORMATIONS