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Books on the topic 'Harmonic function'

Author: Grafiati
Published: 4 June 2021
Last updated: 26 April 2022

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1

Axler, Sheldon Jay. Harmonic function theory. New York: Springer-Verlag, 1992.

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2

Axler, Sheldon Jay. Harmonic function theory. New York: Springer-Verlag, 1992.

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3

Axler, Sheldon Jay. Harmonic function theory. 2nd ed. New York: Springer, 2001.

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4

Axler, Sheldon, Paul Bourdon, and Wade Ramey. Harmonic Function Theory. New York, NY: Springer New York, 1992. http://dx.doi.org/10.1007/b97238.

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5

Axler, Sheldon, Paul Bourdon, and Wade Ramey. Harmonic Function Theory. New York, NY: Springer New York, 2001. http://dx.doi.org/10.1007/978-1-4757-8137-3.

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6

Simon, Barry. Harmonic analysis. Providence, Rhode Island: American Mathematical Society, 2015.

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7

Vakhtang, Paatashvili, ed. Boundary value problems for analytic and harmonic functions in nonstandard Banach function spaces. Hauppauge, N.Y: Nova Science Publishers, 2011.

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8

Krantz, Steven G. Explorations in harmonic analysis: With applications to complex function theory and the Heisenberg group. Boston: Birkhäuser, 2009.

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9

1976-, Lee Lina, ed. Explorations in harmonic analysis: With applications to complex function theory and the Heisenberg group. Boston: Birkhäuser, 2009.

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10

Invariant function spaces on homogeneous manifolds of Lie groups and applications. Providence, R.I: American Mathematical Society, 1993.

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11

Pesenson, Isaac, Quoc Thong Le Gia, Azita Mayeli, Hrushikesh Mhaskar, and Ding-Xuan Zhou, eds. Recent Applications of Harmonic Analysis to Function Spaces, Differential Equations, and Data Science. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-55556-0.

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12

Harrison, Daniel. Harmonic function in chromatic music: A renewed dualist theory and an account of its precedents. Chicago: University of Chicago Press, 1994.

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13

Heil, Christopher. A basis theory primer. New York: Springer, [Imprint of] Birkhäuser, 2011.

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14

Pavlović, Miroslav. Introduction to function spaces on the disk. Beograd: Matematicki Institut SANU, 2004.

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15

1975-, Parcet Javier, ed. Mixed-norm inequalities and operator space Lp embedding theory. Providence, R.I: American Mathematical Society, 2010.

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16

Christensen, Jens Gerlach. Trends in harmonic analysis and its applications: AMS special session on harmonic analysis and its applications : March 29-30, 2014, University of Maryland, Baltimore County, Baltimore, MD. Providence, Rhode Island: American Mathematical Society, 2015.

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17

Bañuelos, Rodrigo. Probabilistic behaviour of harmonic functions. Basel: Birkhauser, 1999.

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18

1956-, Moore Charles N., ed. Probabilistic behavior of harmonic functions. Basel: Birkhäuser Verlag, 1999.

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19

G, Pinsky Ross. Positive harmonic functions and diffusion. New York: Cambridge University Press, 1995.

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20

Bañuelos, Rodrigo, and Charles N. Moore. Probabilistic Behavior of Harmonic Functions. Basel: Birkhäuser Basel, 1999. http://dx.doi.org/10.1007/978-3-0348-8728-1.

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21

Bañuelos, Rodrigo. Probabilistic Behavior of Harmonic Functions. Basel: Birkhäuser Basel, 1999.

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22

Korányi, Adam, ed. Harmonic Functions on Trees and Buildings. Providence, Rhode Island: American Mathematical Society, 1997. http://dx.doi.org/10.1090/conm/206.

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23

Ellipsoidal harmonics: Theory and applications. Cambridge: Cambridge University Press, 2012.

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24

Society, American Mathematical, ed. The location of critical points of analytic and harmonic functions. Providence, R.I: American Mathematical Society, 2008.

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25

Chu, Cho-Ho, and Anthony To-Ming Lau. Harmonic Functions on Groups and Fourier Algebras. Berlin, Heidelberg: Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/b83280.

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26

1913-, Szőkefalvi-Nagy Béla, ed. Functional analysis. New York: Dover Publications, 1990.

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27

Dahlhaus, Carl. Studies on the origin of harmonic tonality. Princeton, N.J: Princeton University Press, 1990.

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28

Saff, E. B., Douglas Patten Hardin, Brian Z. Simanek, and D. S. Lubinsky. Modern trends in constructive function theory: Conference in honor of Ed Saff's 70th birthday : constructive functions 2014, May 26-30, 2014, Vanderbilt University, Nashville, Tennessee. Providence, Rhode Island: American Mathematical Society, 2016.

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29

Growth theory of subharmonic functions. Basel: Birkhäuser, 2009.

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30

Azarin, V. S. Growth theory of subharmonic functions. Basel: Birkhäuser, 2009.

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31

Azarin, V. S. Growth theory of subharmonic functions. Basel: Birkhäuser, 2009.

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32

1954-, Schlichtkrull Henrik, ed. Harmonic analysis and special functions on symmetric spaces. San Diego: Academic Press, 1994.

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33

Georgakis, Constantine, Alexander M. Stokolos, and Wilfredo Urbina, eds. Special Functions, Partial Differential Equations, and Harmonic Analysis. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-10545-1.

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34

1969-, Poggi-Corradini Pietro, ed. The [rho]-harmonic equation and recent advances in analysis: IIIrd Prairie Analysis Seminar, October 17-18, 2003, Kansas State University, Manhattan, Kansas. Providence, R.I: American Mathematical Society, 2005.

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35

Cwikel, Michael, and Mario Milman, eds. Functional Analysis, Harmonic Analysis, and Image Processing. Providence, Rhode Island: American Mathematical Society, 2017. http://dx.doi.org/10.1090/conm/693.

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36

Generalized harmonic analysis and wavelet packets. Amsterdam: Gordon & Breach, 2001.

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37

Anandam, Victor. Harmonic Functions and Potentials on Finite or Infinite Networks. Berlin, Heidelberg: Springer-Verlag Berlin Heidelberg, 2011.

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38

Gangolli, R. A. Harmonic analysis of spherical functions on real reductive groups. Berlin: Springer-Verlag, 1988.

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39

Gangolli, Ramesh. Harmonic Analysis of Spherical Functions on Real Reductive Groups. Berlin, Heidelberg: Springer Berlin Heidelberg, 1988.

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40

Gangolli, Ramesh, and Veeravalli S. Varadarajan. Harmonic Analysis of Spherical Functions on Real Reductive Groups. Berlin, Heidelberg: Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/978-3-642-72956-0.

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41

Anandam, Victor. Harmonic Functions and Potentials on Finite or Infinite Networks. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-21399-1.

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42

Hodge, W. V. D. The theory and applications of harmonic integrals. Cambridge: Cambridge University Press, 1989.

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43

1980-, Moradifam Amir, ed. Functional inequalities: New perspectives and new applications. Providence, Rhode Island: American Mathematical Society, 2013.

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44

1934-, Gay R., ed. Complex analysis and special topics in harmonic analysis. New York: Springer, 1995.

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45

Vasyunin, Vasily, and Alexander L. Volberg. Bellman Function Technique in Harmonic Analysis. University of Cambridge ESOL Examinations, 2020.

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46

Harmonic Function Theory Graduate Texts in Mathematics. Springer, 2010.

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47

Stoll, Manfred. Harmonic and Subharmonic Function Theory on the Hyperbolic Ball. Cambridge University Press, 2016.

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48

Mann, Peter. The Harmonic Oscillator. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0004.

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This chapter discusses the harmonic oscillator, which is a model ubiquitous to all branches of physics. The harmonic oscillator is a system with well-known solutions and has been fully investigated since it was first developed by Robert Hooke in the seventeenth century. These factors ensure that the harmonic oscillator is as relevant to a swinging pendulum as it is to a quantum field. Due to the importance of this model, the chapter investigates its dynamical properties, including the superposition principle in solutions, and construct a probability density function in a single dimension. The chapter also discusses Hooke’s law, modes and the Morse potential. In addition, in an exercise, the chapter introduces series solutions to ordinary differential equations.
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49

Tenney, James. The Structure of Harmonic Series Aggregates. Edited by Larry Polansky, Lauren Pratt, Robert Wannamaker, and Michael Winter. University of Illinois Press, 2017. http://dx.doi.org/10.5406/illinois/9780252038723.003.0011.

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Abstract:
James Tenney discusses the structure of harmonic series aggregates and provides a detailed explanation of the genesis of his HD function. He describes, through first principles (perception, simple mathematics), what happens when “two or more compound tones are sounded simultaneously.” Using simple properties of relatively prime (reduced) ratios, the harmonic series, and least common multiples and greatest common divisors, Tenney approaches harmony in the way he had suggested some thirty years earlier: “to start if possible at the very beginning, to clear the mind of loose ends whose origins are forgotten; loose ends and means become habits.” After exploring harmonic intersection and disjunction, Tenney concludes with an analysis of harmonic distance and pitch distance.
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50

Pesenson, Isaac, Quoc Thong Le Gia, Azita Mayeli, Hrushikesh Mhaskar, and Ding-Xuan Zhou. Recent Applications of Harmonic Analysis to Function Spaces, Differential Equations, and Data Science: Novel Methods in Harmonic Analysis, Volume 2. Birkhäuser, 2018.

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