A First Course in Harmonic Analysis
This book is a primer in harmonic analysis on the undergraduate level. It gives a lean and streamlined introduction to the central concepts of this beautiful and utile theory. In contrast to other books on the topic, A First Course in Harmonic Analysis is
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S. Axler F.W. Gehring K.A. Ribet
Springer Science+Business Media, LLC
Universitext Editors (North America): S . Axler, F.W. Gehring, and K.A. Ribet AksoylKhamsi: Nonstandard Methods in Fixed Point Theory Andersson: Topics in Complex Analysis Aupetit: A Primer on Spectral Theory BachmanlNariciIBeckenstein: Fourier and Wavelet Analysis Badescu: Algebraic Surfaces BaIakrishnanlRanganathan: A Textbook of Graph Theory Balser: Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations Bapat: Linear Algebra and Linear Models (2nd ed.) Berberian: Fundamentals of Real Analysis BoltyanskiilEfremovich: Intuitive Combinatorial Topology. (Shenitzer, trans.) BoossIBleecker: Topology and Analysis Borkar: Probability Theory: An Advanced Course Bdttcher/Silbermann: Introduction to Large Truncated Toeplitz Matrices CarlesonlGamelin: Complex Dynamics Cecil: Lie Sphere Geometry: With Applications to Submanifolds Chae: Lebesgue Integration (2nd ed.) Charlap: Bieberbach Groups and Flat Manifolds Chern: Complex Manifolds Without Potential Theory Cohn: A Classical Invitation to Algebraic Numbers and Class Fields Curtis: Abstract Linear Algebra Curtis: Matrix Groups Debarre: Higher-Dimensional Algebraic Geometry Deitmar: A First Course in Harmonic Analysis DiBenedetto: Degenerate Parabolic Equations Dimca: Singularities and Topology of Hypersurfaces Edwards: A Formal Background to Mathematics I alb Edwards: A Formal Background to Mathematics II alb Farenick: Algebras of Linear Transformations Foulds: Graph Theory Applications Friedman: Algebraic Surfaces and Holomorphic Vector Bundles Fuhrmann: A Polynomial Approach to Linear Algebra Gardiner: A First Course in Group Theory GardinglTambour: Algebra for Computer Science Goldblatt: Orthogonality and Spacetime Geometry GustafsonlRao: Numerical Range: The Field of Values of Linear Operators and Matrices Hahn: Quadratic Algebras, Clifford Algebras, and Arithmetic Witt Groups Heinonen: Lectures on Analysis on Metric Spaces Holmgren: A First Course in Discrete Dynamical Systems Howetran: Non-Abelian Harmonic Analysis: Applications of SL(2, R) Howes: Modem Analysis and Topology HsiehlSibuya: Basic Theory of Ordinary Differential Equations HumiIMiller: Second Course in Ordinary Differential Equations HurwitzlKritikos: Lectures on Number Theory Jennings: Modem Geometry with Applications JonesIMorrislPearson: Abstract Algebra and Famous Impossibilities (continued after index)
Anton Deitmar
A First Course in Harmonic Analysis
Springer
Anton Deitmar Department of Mathematics University of Exeter Exeter, Devon EX4 4QE
UK
a.h [email protected]
Editorial Board (North America): S. Axler Mathematics Department San Francisco State University San Francisco, CA 94132 USA
F.W . Gehring Mathematics Department East Hall University of Michigan Ann Arbor, MI 48109-1109 USA
K.A. Ribet Mathematics Department University of Califomia, Berkeley Berkeley, CA 94720-3840 USA Mathematics Subject Classification (2000): 43-01, 42Axx, 22Bxx, 20Hxx Library of Congress Cataloging-in
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