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1.

図書
図書
1. Partial differential equations for scientists and engineers. 3rd ed.
Tyn Myint-U with Lokenath Debnath
出版情報: New York : North-Holland, c1987  xvii, 554 p. ; 24 cm
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2.

図書
図書
2. Nonlinear dispersive wave systems : University of Central Florida, Orlando, Florida, 11-15 March 1991
editor, Lokenath Debnath
出版情報: Singapore : World Scientific, c1992  xii, 669 p. ; 23 cm
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3.

図書
図書
3. Introduction to Hilbert spaces with applications
Lokenath Debnath, Piotr Mikusiński
出版情報: Boston : Academic Press, c1990  xiv, 509 p. ; 24 cm
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目次情報: 続きを見る
Normed Vector Spaces
The Lebesgue Integral
Hilbert Spaces and Orthonormal Systems
Linear Operators in Hilbert Spaces
Applications
Applications to Integral and Differential Equations
Generalized Functions and Partial Differential Equations
Mathematical Foundations of Quantum Mechanics
Optimization Problems and Other Miscellaneous Applications
Hints and Answers to Selected Exercises
Bibliography
List of Symbols
Index
Normed Vector Spaces
The Lebesgue Integral
Hilbert Spaces and Orthonormal Systems
4.

図書
図書
4. Wavelet transforms and their applications
Lokenath Debnath
出版情報: Boston : Birkhäuser, c2002  xv, 565 p. ; 25 cm
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5.

図書
図書
5. Wavelets and signal processing
Lokenath Debnath, editor
出版情報: Boston : Birkhäuser, c2003  xxv, 435 p. ; 25 cm
シリーズ名: Applied and numerical harmonic analysis / series editor, John J. Benedetto
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6.

図書
図書
6. Nonlinear partial differential equations for scientists and engineers (: Boston ; : Basel)
Lokenath Debnath
出版情報: Boston : Birkhäuser, c1997  xvii, 593 p. ; 24 cm
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目次情報: 続きを見る
Preface to the Second Edition
Preface to the First Edition
Linear Partial Differential Equations
Nonlinear Model Equations and Variational Principles First-Order
Quasi-Linear Equations and Method of Characteristics First-Order
Nonlinear Equations and Their Applications
Conservation Laws and Shock Waves Kinematic Waves and Real-World
Nonlinear Problems
Nonlinear Dispersive
Waves and Whitham's Equations
Nonlinear Diffusion-Reaction
Phenomena Solitons and the Inverse Scattering
Transform The Nonlinear Schroedinger Equation and Solitary Waves
Nonlinear Klein--Gordon and Sine-Gordon Equations
Asymptotic Methods and Nonlinear Evolution Equations
Tables of Integral Transforms
Answers and Hints to Selected Exercises
Bibliography
Index
Preface to the Second Edition
Preface to the First Edition
Linear Partial Differential Equations
7.

図書
図書
7. Nonlinear partial differential equations for scientists and engineers. 2nd ed.
Lokenath Debnath
出版情報: Boston : Birkhäuser, c2005  xx, 737 p. ; 25 cm
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目次情報: 続きを見る
Preface to the Second Edition
Preface to the First Edition
Linear Partial Differential Equations
Nonlinear Model Equations and Variational Principles First-Order
Quasi-Linear Equations and Method of Characteristics First-Order
Nonlinear Equations and Their Applications
Conservation Laws and Shock Waves Kinematic Waves and Real-World
Nonlinear Problems
Nonlinear Dispersive
Waves and Whitham's Equations
Nonlinear Diffusion-Reaction
Phenomena Solitons and the Inverse Scattering
Transform The Nonlinear Schroedinger Equation and Solitary Waves
Nonlinear Klein--Gordon and Sine-Gordon Equations
Asymptotic Methods and Nonlinear Evolution Equations
Tables of Integral Transforms
Answers and Hints to Selected Exercises
Bibliography
Index
Preface to the Second Edition
Preface to the First Edition
Linear Partial Differential Equations
8.

図書
図書
8. Nonlinear waves
edited by Lokenath Debnath
出版情報: Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1983  360 p. ; 24 cm
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目次情報: 続きを見る
Nonlinear Waves in Fluids / Part I：
Towards the Analytic Description of Overturning Waves / Michael S. Longuet-Higgins1：
The Korteweg-de Vries Equation and Related Problems in Water Wave Theory / R. S. Johnson2：
Solitary Waves in Slowly Varying Environments: Long Nonlinear Waves / R. Grimshaw3：
Nonlinear Waves in a Channel / M. C. Shen4：
Soliton Behaviour in Models of Baroclinic Instability / Irene M. Moroz ; John Brindley5：
Waves and Wave Groups in Deep Water / Peter J. Bryant6：
Two- and Three-Wave Resonance / Alex D. D. Craik7：
Nonlinear waves in Plasmas / Part II：
Nonlinear Electromagnetic Waves in Flowing Plasma / N. E. Andreev ; V. P. Silin ; P. V. Silin8：
Superluminous Waves in Plasmas / P. C. Clemmow9：
Electrostatic Ion Cyclotron Waves and Ion Heating in a Magnetic Field / H. Okuda10：
Solitons in Plasma Physics / P. K. Shukla11：
A Theory for the Propagation of Slowly Varying Nonlinear Waves in a Non-Uniform Plasma / R. J. Gribben.12：
Nonlinear Waves in Fluids / Part I：
Towards the Analytic Description of Overturning Waves / Michael S. Longuet-Higgins1：
The Korteweg-de Vries Equation and Related Problems in Water Wave Theory / R. S. Johnson2：
9.

図書
図書
9. Wavelet transforms and time-frequency signal analysis
Lokenath Debnath, editor
出版情報: Boston : Birkhäuser, c2001  xx, 423 p., [8] p. of plates ; 25 cm
シリーズ名: Applied and numerical harmonic analysis / series editor, John J. Benedetto
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目次情報: 続きを見る
Preface Contributors Color Insert
Wavelets and Wavelet / I：
Transforms Wavelet Frames: Multiresolution Analysis and Extension Principles / J.J. Benedetto ; O.M. Treiber
Convergence Rates of Multiscale and Wavelet Expansions / M.A. Kon ; L.A. Raphael Denoising via
Nonorthogonal Wavelet Transforms / K. Berkner ; R.O. Wells ; Jr. Osiris
Wavelets and the Dipole Gas / G. Battle
Wavelets in Closed Forms / A. Zayed ; G.G. Walter
Wavelet Galerkin Methods for Boundary Integral Equations and the Coupling with Finite Element Methods / C. PFrez ; R. Schneider
Computing and Analyzing Turbulent Flows Using Wavelets / K. Schneider ; M. Farge
The Uncertainty Principle for the Short-Time Fourier Transform and Wavelet Transform / L. Cohen
Time-Frequency Signal Analysis Quadratic Time-Frequency Analysis of Linear, Time-Varying Systems / F. Hlawatsch ; G. MatzII：
Inequalities in Mellin--Fourier Signal Analysis / P. Flandrin
Introduction to Time-Frequency Signal Analysis / B. Boashash ; B. Barkat
Reduced Interference Time-Frequency Distributions: Scaled Decompositions and Interpretations / W.J. Williams
Index
Preface Contributors Color Insert
Wavelets and Wavelet / I：
Transforms Wavelet Frames: Multiresolution Analysis and Extension Principles / J.J. Benedetto ; O.M. Treiber
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