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Harmonic analysis

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• Banach algebras
• Calculus
• Mathematical analysis
• Mathematics

• Time-series analysis
• Bessel functions
• Fourier series
• Harmonic functions

• Harmonic analysis -- Computer programs
• Harmonic analysis -- Congresses
• Harmonic analysis -- Mathematical models
• Lamé's functions
• Multipliers (Mathematical analysis)
• Spectral synthesis (Mathematics)
• Spherical harmonics
• Toroidal harmonics
• Wavelets (Mathematics)

• Analysis (Mathematics)
• Functions, Potential
• Potential functions

• Harmonic Analysis and the Theory of Probability (Berkeley and Los Angeles: University of California Press, 1955), by S. Bochner (page images at HathiTrust)
• Mathematical Dissertations, For the Use of Students in the Modern Analysis, by J. R. Young (page images at Cornell)
• A Course of Modern Analysis: An Introduction to the General Theory of Infinite Processes and of Analytic Functions; With an Account of The Principal Transcendental Functions (second edition; Cambridge, UK: At the University Press, 1915), by E. T. Whittaker and G. N. Watson (multiple formats at archive.org)
• Anwendung der differential- und integralrechnung auf geometrie: eine revision der principien. Vorlesung gehalten während des sommersemesters 1901 (In commission bei B.G. Teubner, 1902), by Felix Klein and C. H. Müller (page images at HathiTrust; US access only)
• Vorlesungen über die Theorie des Potentials und der Kugelfunctionen (B. G. Teubner, 1887), by F. E. Neumann and Carl Neumann (page images at HathiTrust)
• Calcoli numerici grafici e meccanici. (Mariotti-Pacini, 1928), by Gino Cassinis (page images at HathiTrust; US access only)
• Theorie und Praxis der Reihen. (G. J. Göschen, 1904), by Carl Runge (page images at HathiTrust; US access only)
• Wykład nauki o równaniach różniczkowych (Nakładem właściciela Biblioteki kórnickiej, 1877), by Władyslaw. 1837- Zajączkowski and Académie des Sciences (France) (page images at HathiTrust)
• A course of modern analysis. An introduction to the general theory of infinite series and of analytic functions, with an account of the principal transcendental functions. (University Press, 1902), by E. T. Whittaker (page images at HathiTrust; US access only)
• Topics in Fourier analysis. Lectures 1958-1959 [University of Washington] ([Seattle], 1959), by Edwin Hewitt (page images at HathiTrust)
• Cours de physique mathématique (Gauthier-Villars, 1873), by Emile Mathieu (page images at HathiTrust)
• Ueber die nach Kreis-, Kugel- und Cylinder-Functionen fortschreitenden Entwickelungen : unter durchgängiger Anwendung des Du Bois-Remond'schen Mittelwerthsatzes (B. G. Teubner, 1881), by Carl Neumann (page images at HathiTrust)
• Harmonic curves (The Creighton university, 1926), by William F. Rigge (page images at HathiTrust)
• Die willkürlichen functionen in der mathematischen physik ... (Druck von R. Leupold, 1891), by Arnold Sommerfeld (page images at HathiTrust)
• Tafeln zur harmonischen Analyse periodischer Kurven (Berlin, 1922), by Ludwig Zipperer (page images at HathiTrust; US access only)
• An elementary treatise on Fourier's series, and spherical, cylindrical, and ellipsoidal harmonics, with applications to problems in mathematical physics. (Dover Publications, 1959), by William Elwood Byerly (page images at HathiTrust)
• Kurzgefasste vorlesungen über verschiedene gebiete der höheren mathematik mit berücksichtigung der anwendungen. (B. G. Teubner, 1900), by Robert Fricke (page images at HathiTrust; US access only)
• An elementary treatise on Fourier's series and spherical, cylindrical, and ellipsoidal harmonics, with applications to problems in mathematical physics. (Ginn & company, 1893), by William Elwood Byerly (page images at HathiTrust)
• An elementary treatise on Fourier's series and spherical, cylindrical, and ellipsoidal harmonics : with applications to problems in mathematical physics (Ginn & Co., 1895), by William Elwood Byerly (page images at HathiTrust)
• An elementary treatise on Fourier's series and spherical, cylindrical, and ellipsoidal harmonics, with applications to problems in mathematical physics. (Ginn & company, 1902), by William Elwood Byerly (page images at HathiTrust)
• A practical treatise on Fourier's theorem and harmonic analysis for physicists and engineers (Longmans, Green and co., 1925), by Albert Eagle (page images at HathiTrust; US access only)
• Time-harmonic electromagnetic fields. (McGraw-Hill, 1961), by Roger F. Harrington (page images at HathiTrust)
• Integration and harmonic analysis on compact groups (Dept. of Pure Mathematics, S.G.S., Dept. of Mathematics, I.A.S., Australian National University, 1971), by R. E. Edwards (page images at HathiTrust)
• Ergodic estimates in the theory of periodic functions by use of simple conditioned fractionsand related topics. (Dept. of Mathematics, University of Kansas, 1960), by Arthur H. Kruse (page images at HathiTrust)
• The elliptic cylinder function of class K, synthetic treatment and computation of tables ... (The Lord Baltimore press, 1908), by William Henry Butts (page images at HathiTrust)
• The harmonic formula of Fourier and Bessel and its application to the study of the diurnal variation of the atmospheric pressure in Manila during the period 1890-1909. (Bureau of printing, 1914), by Antonio Galán and Philippines. Weather Bureau (page images at HathiTrust; US access only)
• Harmonics, sidebands, and transients in communication engineering (McGraw-Hill, 1952), by C. Louis Cuccia (page images at HathiTrust)
• Statistical theory of communication. (Wiley, 1960), by Yuk Wing Lee (page images at HathiTrust)
• Fonctions de Lamé et fonctions de Mathieu (Gauthier-Villars et cie, 1926), by Pierre Humbert (page images at HathiTrust; US access only)
• Zonal harmonics in low frequency terrestrial radio wave propagation. (]U.S. National Bureau of Standards] for sale by the Supt. of Docs., U.S. Govt. Print. Off, 1966), by J. Ralph Johler (page images at HathiTrust)
• A course of modern analysis; an introduction to the general theory of infinite processes and of analytic functions; with an account of the principal transcendental functions (University Press, 1920), by E. T. Whittaker and G. N. Watson (page images at HathiTrust; US access only)
• Tidal hydraulics (U.S. Govt. Print. Off., 1940), by George Bigelow Pillsbury (page images at HathiTrust)
• An introduction to abstract harmonic analysis. (Van Nostrand, 1953), by Lynn H. Loomis (page images at HathiTrust)
• A course of modern analysis: an introduction to the general theory of infinite processes and of analytic functions, with an account of the principal transcendental functions (University Press, 1927), by E. T. Whittaker and G. N. Watson (page images at HathiTrust; US access only)
• Studier over Cesàro's summabilitetsmetode : med særlig anvendelse overfor potensrækkernes teori (Jul. Gjellerup, 1921), by A. F. Andersen (page images at HathiTrust; US access only)
• Harmonic analysis of the latitude observations [at] Kazan, Carloforte, Greenwich ([Odessa], 1925), by A. Orloff and Odesʹkyĭ derz͡havnyĭ universytet imeni I.I. Mechnykova. Astronomicheskai͡a observatorii͡a (page images at HathiTrust; US access only)
• Ueber die darstellung von Functionen einer variabeln durch trigonometrische reihen mit mehreren einer variabeln Proportionalen argumenten ... (Druck von C. Mattiesen, 1893), by Piers Paul Felix Bohl (page images at HathiTrust)
• Tables for facilitating the use of harmonic analysis. (Oxford Univ. Press, 1913), by H. H. Turner (page images at HathiTrust)
• Higher mathematics. A text-book for classical and engineering colleges. (J. Wiley & sons; [etc., etc.], 1898), by Mansfield Merriman, David Eugene Smith, Alexander Macfarlane, E. W. Hyde, William Woolsey Johnson, Thomas Scott Fiske, William Elwood Byerly, James McMahon, George Bruce Halsted, Laenas Gifford Weld, and Robert Simpson Woodward (page images at HathiTrust)
• On a device for facilitating harmonic analysis and synthesis. (Neill, 1912), by Ernest W. Brown (page images at HathiTrust; US access only)
• A new form of harmonic synthetiser. (R. Grant, 1906), by James Robert Milne (page images at HathiTrust; US access only)
• Notes on a calculus of Turán operators. (West Virginia University, Department of Mathematics, 1962), by Henry Wadsworth Gould (page images at HathiTrust)
• Kurzgefasste vorlesungen über verschiedene gebiete der höheren mathematik mit berücksichtigung der anwendungen. (B. G. Teubner, 1900), by Robert Fricke (page images at HathiTrust; US access only)
• Anwendung der Differential- und Integralrechnung auf Geometrie: eine Revision der Principien. Vorlesung gehalten während des Sommersemesters 1901 (In Commission bei B. G. Teubner, 1902), by Felix Klein and C. H. Müller (page images at HathiTrust; US access only)
• Beiträge zur Theorie der Entwicklung nach Normalfunktionen (Zürcher & Furrer, 1904), by Helene Turnau (page images at HathiTrust; US access only)
• Random harmonic analysis program, L221 (TEV156). (National Aeronautics and Space Administration, Scientific and Technical Information Branch ;, 1979), by R. E. Clemmons, M. L. Graham, R. D. Miller, Langley Research Center, and United States. National Aeronautics and Space Administration. Scientific and Technical Information Branch (page images at HathiTrust)
• Gravity gradients at satellite altitudes (National Ocean Survey, 1973), by B. Chovitz, F. Morrison, J. Lucas, and National Ocean Survey (page images at HathiTrust)
• NASA TN D-1290 (National Aeronautics and Space Administration ;, 1962), by Lloyd Carpenter, Goddard Space Flight Center, and United States National Aeronautics and Space Administration (page images at HathiTrust; US access only)
• Theoria elementar e pratica de analyse harmonica des marés (Empreza photo-mechanica do Brazil, 1912), by Luiz José Le Cocq d'Oliveira (page images at HathiTrust; US access only)
• Serviço hydrographico. Estudo de marés e correntes. Determinação das constantes da maré, pela analyse harmonica de um longo periodo de observações, pelo engenheiro Alix Lemos. (Typographia Leuzinger, 1908), by Alix Lemos (page images at HathiTrust; US access only)
• Ueber die Entwickelung einer Function mit imaginärem Argument nach den Kugelfunctionen erster und zweiter art (H. W. Schmidt, 1862), by Carl Neumann (page images at HathiTrust)
• Ueber eine mit den kugelund Cylinderfunktionen verwandte Function und ihre Anwendung in der Theorie der Electricitätsvertheilung ... (Neumann-Hartmann'schen Officin, 1870), by Ferdinand Gustav Mehler (page images at HathiTrust)
• NACA wartime reports (Langley Memorial Aeronautical Laboratory, 1945), by Irven Naiman, United States National Advisory Committee for Aeronautics, and Langley Aeronautical Laboratory (page images at HathiTrust)
• NACA wartime reports (Langley Memorial Aeronautical Laboratory, 1944), by Irven Naiman, United States National Advisory Committee for Aeronautics, and Langley Aeronautical Laboratory (page images at HathiTrust)
• An elemenatary treatise on Fourier's series, and spherical, cylindrical, and ellipsoidal harmonics, with applications to problems in mathematical physics. (Dover Publicatiions, 1893), by William Elwood Byerly (page images at HathiTrust)
• Ueber die nach kreis-, kugel- und cylinder-functionen fortschretienden entwickelungen unter durchgängiger anwendung des Du Bois-Reymond'schen Mittel werthsatzes. (Leipzig, 1881), by Carl Neumann (page images at HathiTrust)
• Les principes de la̓nalyse matheḿatique; expose ́historique et critique. (A. Hermann & fils, 1914), by Pierre Boutroux (page images at HathiTrust; US access only)
• Tables for facilitating the use of harmonic analysis. (Humphrey Milford, 1913), by H. H. Turner (page images at HathiTrust)
• Uebungsbuch zum Studium der hoeheren Analysis. (B.G. Teubner, 1873), by Oskar Xaver Schlömilch (page images at HathiTrust; US access only)
• A study of the response of panels to random acoustic excitation (National Advisory Committee for Aeronautics, 1955), by R. W. Hess, Harvey H. Hubbard, Leslie W. Lassiter, Langley Aeronautical Laboratory, United States. National Adviosry Committee for Aeronautics, and United States National Advisory Committee for Aeronautics (page images at HathiTrust)
• Correlation of calculation and flight studies of the effect of wing flexibility on structural response due to gusts (National Advisory Committee for Aeronautics, 1953), by John C. Houbolt and United States National Advisory Committee for Aeronautics (page images at HathiTrust)
• Beiträge zur theorie der kugelfunctionen (Teubner, 1878), by F. E. Neumann (page images at HathiTrust)
• Les fonctions quasi-périodiques ... (Gauthier-Villars, 1904), by Ernest Esclangon (page images at HathiTrust; US access only)
• Prototype tidal data analysis for Mississippi Sound and adjacent areas (Vicksburg, Mississippi : U.S. Army Engineer Waterways Experiment Station ; [Springfield, Virginia] : [Available from National Technical Information Service], 1983., 1983), by Douglas G. Outlaw, U.S. Army Engineer Waterways Experiment Station, and United States. Army. Corps of Engineers. Mobile District (page images at HathiTrust)
• Analysis E [lecture notes] ([Chicago?], 1951), by University of Chicago. Department of Mathematics (page images at HathiTrust; US access only)
• Lectures on the power spectral analysis of stationary processes (Dept. of Statistics and Statistical Laboratory, Virginia Polytechnic Institute, 1956), by John E. Freund (page images at HathiTrust; US access only)
• Manual of harmonic constant reductions. (U.S. Govt. Print. Off., 1952), by U.S. Coast and Geodetic Survey (page images at HathiTrust)
• On the Harmonic analysis of absolute lunar elevations (L.G. Hanscom Field, Bedford, Massachusetts : Air Force Cambridge Research Laboratories, Office of Aerospace Research, United States Air Force, 1966., 1966), by Donald H. Eckhardt and Air Force Cambridge Research Laboratories (U.S.) (page images at HathiTrust)
• The meteorological equator in the stratosphere and mesosphere (Air Force Cambridge Research Laboratories, Air Force Systems Command, United States Air Force, 1974), by Arthur J. Kantor, Allen E. Cole, and Air Force Cambridge Research Laboratories (U.S.) (page images at HathiTrust)
• Local geoid and gravity anomaly predictions using point masses (Hanscom AFB, Massachusetts : Air Force Geophysics Laboratory, Air Force Systems Command, United States Air Force, 1979., 1979), by Georges Blaha, George Hadgigeorge, and U.S. Air Force Geophysics Laboratory (page images at HathiTrust)
• The application of the scale autocorrelation coefficient to the determination of the harmonic content of periodic phenomena - a meteorological and a geophysical example (L.G. Hanscom Field, Bedford, Massachusetts : Air Force Cambridge Research Laboratories, Office of Aerospace Research, United States Air Force, 1972., 1972), by Victor L. Corbin, Antonio F. Quesada, H. E. Moses, and Air Force Cambridge Research Laboratories (U.S.) (page images at HathiTrust)
• Théorèmes généraux sur l'attraction des corps. (Paris, 1845), by M. Chasles and Joseph Liouville (page images at HathiTrust)
• Estimation of sample size (Washington, D. C. : Mathematical Sciences Directorate, Air Force Office of Scientific Research, 1960., 1960), by N. L. Johnson, United States. Air Force. Office of Scientific Research, and Case Institute of Technology (page images at HathiTrust)
• Existence theorems for harmonic support (Washington, D.C. : Mathematical Sciences Directorate, Air Force Office of Scientific Research, 1961., 1961), by Guy Johnson, Rice University, and United States. Air Force. Office of Scientific Research (page images at HathiTrust)
• A Maximal problem in harmonic analysis, II⁽¹⁾ (Washington, D.C. : United States Air Force, Office of Scientific Research, [1958], 1958), by I. I. Hirschman, United States. Air Force. Office of Scientific Research, and Mo.). Department of Mathematics Washington University (Saint Louis (page images at HathiTrust)
• Solution of the Dirichlet problem for the ellipse by interpolating harmonic polynomials (Washington, D.C. : United States Air Force, Office of Scientific Research, 1958., 1958), by J. L. Walsh, United States. Air Force. Office of Scientific Research, and Harvard University (page images at HathiTrust)
• On Functions subharmonic in a half-space (College Park, Maryland : University of Maryland, Institute for Fluid Dynamics and Applied Mathematics, 1955., 1955), by Alfred Huber, College Park. Institute for Fluid Dynamics and Applied Mathematics University of Maryland, and United States. Air Force. Office of Scientific Research (page images at HathiTrust)
• On Generalized axially symmetric potentials ([Washington, D.C.] : Air Force Office of Scientific Research, United States Air Force, 1961., 1961), by Robert P. Gilbert, College Park. Institute for Fluid Dynamics and Applied Mathematics University of Maryland, and United States. Air Force. Office of Scientific Research (page images at HathiTrust)
• Fundamental solutions for a class of singular equations ([Washington, D.C.] : Air Force Office of Scientific Research, United States Air Force, 1962., 1962), by Richard Jay Weinacht, College Park. Institute for Fluid Dynamics and Applied Mathematics University of Maryland, and United States. Air Force. Office of Scientific Research (page images at HathiTrust)
• On a Result of Hadamard concerning the sign of the precession of a heavy symmetrical top (College Park, Maryland : University of Maryland, Institute for Fluid Dynamics and Applied Mathematis, 1962., 1962), by J. B. Diaz, F. T. Metcalf, College Park. Institute for Fluid Dynamics and Applied Mathematics University of Maryland, and United States. Air Force. Office of Scientific Research (page images at HathiTrust)
• Some problems in the spectral analysis of human behavior records (Wright-Patterson Air Force Base, Ohio : Wright Air Development Center, Air Research and Development Command, United States Air Force, 1953., 1953), by C.J. Burke, O.J. Benepe, R. Narasimhan, United States. Air Force. Air Research and Development Command, Wright Air Development Center, Aerospace Medical Laboratory (U.S.), and Indiana University (page images at HathiTrust)
• Nonlinear cross-spectral analysis and pattern recognition (L.G. Hansom Field, Bedford, Massachusetts : Air Force Cambridge Research Laboratories, Office of Aerospace Research, United States Air Force, 1969., 1969), by Edmond M. Dewan and Air Force Cambridge Research Laboratories (U.S.) (page images at HathiTrust)
• Short duration harmonic analysis of EEG data (Wright-Patterson Air Force Base, Ohio : Aero Medical Laboratory, Wright Air Development Center, Air Research and Development Command, United States Air Force, 1959., 1959), by Ezra S. Krendel, Wright Air Development Center, United States. Air Force. Air Research and Development Command, Pa.). Laboratories for Research and Development Franklin Institute (Philadelphia, and Aerospace Medical Laboratory (U.S.) (page images at HathiTrust)
• The use of autocorrelation functions in the harmonic analysis of human behavior (Wright-Patterson Air Force Base, Ohio : Wright Air Development Center, 1951., 1951), by R. Narasimhan, Otis J. Benepe, Bloomington Indiana University, and Wright Air Development Center (page images at HathiTrust)
• Analyse periodischer Vorgänge, ein Abriss der Periodographie mit besonderer Berücksichtigung moderner Methoden (Gebrüder Borntraeger, 1927), by Karl Stumpff (page images at HathiTrust; US access only)
• Stress functions for generalized plane stress in orthotropic plates. (Defense Technical Information Center, 1961), by R. D. Mindlin, Y. T. Huang, and Columbia Univ. New York Dept. of Civil Engineering and Engineering Mechanics (page images at HathiTrust; US access only)
• Prototype tidal data analysis for Mississippi Sound and adjacent areas (U.S. Army Engineer Waterways Experiment Station, 1983), by Douglas G. Outlaw, U.S. Army Engineer Waterways Experiment Station, United States. Army. Corps of Engineers. Mobile District, and Coastal Engineering Research Center (U.S.) (page images at HathiTrust)
• An Elementary Treatise on Fourier's Series and Spherical, Cylindrical, and Ellipsoidal Harmonics: With Applications to Problems in Mathematical Physics, by William Elwood Byerly (Gutenberg ebook)

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