Classical Fourier Analysis

The primary goal of these two volumes is to present the theoretical foundation of the field of Euclidean Harmonic analysis. The original edition was published as a single volume, but due to its size, scope, and the addition of new material, the second edi

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Editorial Board S. Axler K.A. Ribet

Graduate Texts in Mathematics 1 TAKEUTI /Z ARING. Introduction to Axiomatic Set Theory. 2nd ed. 2 O XTOBY. Measure and Category. 2nd ed. 3 S CHAEFER . Topological Vector Spaces. 2nd ed. 4 H ILTON/S TAMMBACH. A Course in Homological Algebra. 2nd ed. 5 M AC L ANE. Categories for the Working Mathematician. 2nd ed. 6 H UGHES /P IPER. Projective Planes. 7 J.-P. S ERRE. A Course in Arithmetic. 8 TAKEUTI /Z ARING. Axiomatic Set Theory. 9 H UMPHREYS . Introduction to Lie Algebras and Representation Theory. 10 C OHEN. A Course in Simple Homotopy Theory. 11 C ONWAY. Functions of One Complex Variable I. 2nd ed. 12 B EALS . Advanced Mathematical Analysis. 13 A NDERSON/F ULLER. Rings and Categories of Modules. 2nd ed. 14 G OLUBITSKY/G UILLEMIN. Stable Mappings and Their Singularities. 15 B ERBERIAN. Lectures in Functional Analysis and Operator Theory. 16 W INTER. The Structure of Fields. 17 ROSENBLATT. Random Processes. 2nd ed. 18 H ALMOS . Measure Theory. 19 H ALMOS . A Hilbert Space Problem Book. 2nd ed. 20 H USEMOLLER. Fibre Bundles. 3rd ed. 21 H UMPHREYS . Linear Algebraic Groups. 22 BARNES /M ACK. An Algebraic Introduction to Mathematical Logic. 23 G REUB. Linear Algebra. 4th ed. 24 H OLMES . Geometric Functional Analysis and Its Applications. 25 H EWITT/S TROMBERG. Real and Abstract Analysis. 26 M ANES . Algebraic Theories. 27 K ELLEY. General Topology. 28 Z ARISKI /S AMUEL. CommutativeAlgebra. Vol. I. 29 Z ARISKI /S AMUEL. Commutative Algebra. Vol. II. 30 JACOBSON. Lectures in Abstract Algebra I. Basic Concepts. 31 JACOBSON. Lectures in Abstract Algebra II. Linear Algebra. 32 JACOBSON. Lectures in Abstract Algebra III. Theory of Fields and Galois Theory. 33 H IRSCH. Differential Topology. 34 S PITZER. Principles of Random Walk. 2nd ed. 35 A LEXANDER/W ERMER. Several Complex Variables and Banach Algebras. 3rd ed. 36 K ELLEY/N AMIOKA ET AL. Linear Topological Spaces. 37 M ONK. Mathematical Logic.

38 G RAUERT/F RITZSCHE. Several Complex Variables. 39 A RVESON. An Invitation to C-Algebras. 40 K EMENY/S NELL /K NAPP. Denumerable Markov Chains. 2nd ed. 41 A POSTOL. Modular Functions and Dirichlet Series in Number Theory. 2nd ed. 42 J.-P. S ERRE. Linear Representations of Finite Groups. 43 G ILLMAN/J ERISON. Rings of Continuous Functions. 44 K ENDIG. Elementary Algebraic Geometry. 45 L O E` VE. Probability Theory I. 4th ed. 46 L O E` VE. Probability Theory II. 4th ed. 47 M OISE. Geometric Topology in Dimensions 2 and 3. 48 S ACHS /W U. General Relativity for Mathematicians. 49 G RUENBERG/W EIR. Linear Geometry. 2nd ed. 50 E DWARDS . Fermat’s Last Theorem. 51 K LINGENBERG. A Course in Differential Geometry. 52 H ARTSHORNE. Algebraic Geometry. 53 M ANIN. A Course in Mathematical Logic. 54 G RAVER/WATKINS. Combinatorics with Emphasis on the Theory of Graphs. 55 B ROWN/P EARCY. Introduction to Operator Theory I: Elements of Functional Analysis. 56 M ASSEY. Algebraic Topology: An Introduction. 57 C ROWELL/F OX. Introduction to Knot Theory. 58 K OBLITZ. p-adic Numbers, p-adic Analysis, and