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Contributions to Fourier Analysis. (AM-25) / / W. Transue, Antoni Zygmund
Contributions to Fourier Analysis. (AM-25) / / W. Transue, Antoni Zygmund
Autore Zygmund Antoni
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (196 pages)
Disciplina 517.35
Collana Annals of Mathematics Studies
Soggetto topico Fourier analysis
Soggetto non controllato Absolute value
Almost periodic function
Approximation
Bessel function
Bilinear map
Boundary value problem
Characterization (mathematics)
Coefficient
Compact space
Comparison theorem
Conservative vector field
Constant function
Continuous function
Corollary
Counterexample
Diagonalization
Diagram (category theory)
Diameter
Dimension
Dirichlet kernel
Dirichlet problem
Dirichlet's principle
Distribution function
Exponential polynomial
Exponential sum
Fourier analysis
Fourier series
Fourier transform
Harmonic function
Hilbert space
Hölder's inequality
Integer
Interpolation theorem
Linear combination
Lp space
Measurable function
Measure (mathematics)
Partial derivative
Partial differential equation
Periodic function
Poisson formula
Polynomial
Power series
Quantity
Rectangle
Remainder
Semicircle
Several complex variables
Sign (mathematics)
Simple function
Special case
Sphere
Square root
Step function
Subsequence
Subset
Theorem
Theory
Triangle inequality
Two-dimensional space
Uniform continuity
Uniform convergence
Variable (mathematics)
Vector field
Vector space
ISBN 1-4008-8195-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- CONTENTS -- I. LOCALIZATION OF BEST APPROXIMATION / Bochner, S. -- II. DIRICHLET PROBLEM FOR DOMAINS BOUNDED BY SPHERES / Bochner, S. -- III. THE FRÉCHET VARIATION AND PRINGSHEIM CONVERGENCE OF DOUBLE FOURIER SERIES / Morse, Marston / Transue, William -- IV. NORMS OF DISTRIBUTION FUNCTIONS ASSOCIATED WITH BILINEAR FUNCTIONALS / Morse, Marston / Transue, William -- V. NOTE ON THE BOUNDARY VALUES OF FUNCTIONS OF SEVERAL COMPLEX VARIABLES / Caldéron, A. P. / Zygmund, A. -- VI. ON THE THEOREM OF HAUSDORFF-YOUNG AND ITS EXTENSIONS / Caldéron, A. P. / Zygmund, A.
Record Nr. UNINA-9910154750603321
Zygmund Antoni  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
An Essay Toward a Unified Theory of Special Functions. (AM-18), Volume 18 / / Clifford Truesdell
An Essay Toward a Unified Theory of Special Functions. (AM-18), Volume 18 / / Clifford Truesdell
Autore Truesdell Clifford
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (197 pages) : illustrations
Disciplina 517.5
Collana Annals of Mathematics Studies
Soggetto topico Functional equations
Soggetto non controllato Addition
Antiderivative
Asymptotic formula
Bessel function
Beta function
Boundary value problem
Change of variables
Closed-form expression
Coefficient
Combination
Continuous function
Corollary
Differential equation
Enumeration
Equation
Existential quantification
Explicit formula
Exponential function
Factorial
Function (mathematics)
Functional equation
Hermite polynomials
Hypergeometric function
Integer
Laguerre polynomials
Laplace transform
Legendre function
Linear difference equation
Linear differential equation
Mathematical induction
Mathematician
Monomial
Natural number
Number theory
Ordinary differential equation
Parameter
Periodic function
Polygamma function
Polynomial
Potential theory
Power series
Rectangle
Recurrence relation
Remainder
Scientific notation
Sequent
Simple function
Singular solution
Special case
Special functions
Summation
Theorem
Theory
Uniqueness theorem
Variable (mathematics)
Without loss of generality
ISBN 1-4008-8237-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto PREFACE -- TABLE OF CONTENTS -- Chapter I. The Object and Plan of This Essay -- Chapter II. Reduction to The F-Equation -- Chapter III. Existence and Uniqueness Theorems -- Chapter IV. Methods of Treating Special Functions Based on The Uniqueness Theorem for The Condition F(z, αO) = ψ (z) -- Chapter V. Remarks on Solutions Such That F(z, αO) = ψ (z) -- Chapter VI. Conclusions and Unsolved Problems -- Appendix I. Special Functions -- Appendix II. Operators -- Appendix III. Examples of Equations of Type (3-4) Not Reducible to The F-Equation -- Bibliography
Record Nr. UNINA-9910154746503321
Truesdell Clifford  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui