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1

I, Anisimov V., ed. Strong coulomb correlations in electronic structure calculations: Beyond the local density approximation. Amsterdam, The Netherlands: Gordon and Breach Science Publishers, 2000.

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2

1934-, Ciesielski Zbigniew, ed. Approximation and function spaces. Warszawa: PWN-Polish Scientific Publishers, 1989.

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3

Lewis Research Center. Institute for Computational Mechanics in Propulsion., ed. On the convergence of local approximations to pseudodifferential operators with applications. Cleveland, Ohio: Institute for Computational Mechanics in Propulsion, Lewis Research Center, 1994.

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4

Katkovnik, V. I︠A︡. Local approximation techniques in signal and image processing. Bellingham, Wash: SPIE Press, 2006.

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5

Steve, Leach, ed. Local government: It's role and function. York: Joseph Rowntree Foundation, 1992.

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6

Nikolʹskiĭ, S. M. Izbrannye trudy: V trekh tomakh. Moskva: Nauka, 2006.

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7

Domich, P. D. A near-optimal starting solution for polynomial approximation of a continuous function in the L. [Washington, D.C.]: U.S. Dept. of Commerce, National Bureau of Standards, 1986.

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8

Domich, P. D. A near-optimal starting solution for polynomial approximation of a continuous function in the L. [Washington, D.C.]: U.S. Dept. of Commerce, National Bureau of Standards, 1986.

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9

Hedberg, Lars Inge. An axiomatic approach to function spaces, spectral synthesis, and Luzin approximation. Providence, RI: American Mathematical Society, 2007.

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10

Domich, P. D. A near-optimal starting solution for polynomial approximation of a continuous function in the Lb1s norm. [Washington, D.C.]: U.S. Dept. of Commerce, National Bureau of Standards, 1986.

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11

Apel, Thomas. Anisotropic finite elements: Local estimates and applications. Stuttgart: B.G. Teubner, 1999.

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12

Local function spaces, heat and Navier-Stokes equations. Zürich, Switzerland: European Mathematical Society Publishing House, 2013.

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13

Domich, P. D. A near-optimal starting solution for polynomial approximation of a continuous function in the Lb1s norm. [Washington, D.C.]: U.S. Dept. of Commerce, National Bureau of Standards, 1986.

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14

M, Adams William, and United States. National Aeronautics and Space Administration. Scientific and Technical Information Division., eds. Nonlinear programming extensions to rational function approximation methods for unsteady aerodynamic forces. [Washington, DC]: National Aeronautics and Space Administration, Scientific and Technical Information Division, 1988.

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15

Ghatak, A. K. Modified Airy function and WKB solutions to the wave equation. [Gaithersburg, Md.]: National Institute of Standards and Technology, 1991.

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16

Oswald, Peter. Multilevel finite element approximation: Theory and applications. Stuttgart: Teubner, 1994.

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17

P, Vértesi, Tandori Károly, and International Conference on Approximation Theory and Function Series (1995 : Budapest, Hungary), eds. Approximation theory and function series: Dedicated to Károly Tandori on his 70th birthday. Budapest, Hungary: János Bolyai Mathematical Society, 1996.

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18

Chihō zaiseigaku: Kinō, seido, rekishi = Local public finance : function, institution and history. Tōkyō: Yūhikaku, 2022.

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19

International Conference and Workshop Function Spaces, Approximation Theory, Nonlinear Analysis (2005 Moscow, Russia). Mezhdunarodnai︠a︡ konferent︠s︡ii︠a︡ Funkt︠s︡ionalʹnye prostranstva, teorii︠a︡ priblizheniĭ, nelineĭnyĭ analiz, Moskva, 23-29 mai︠a︡ 2005 g., posvi︠a︡shchennai︠a︡ stoletii︠u︡ Sergei︠a︡ Mikhaĭlovicha Nikolʹskogo (rodilsi︠a︡ 30. IV.1905), tezisy dokladov: International Conference and Workshop Function Spaces, Approximation Theory, Nonlinear Analysis, Moscow, Russia, May 23-29, 2005, dedicated to the centennial of Sergei Mikhailovich Nikolskii (born 30. IV.1905), abstracts. Moskva: Matematicheskiĭ in-t im. V.A. Steklova RAN (MIAN), 2005.

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20

Institut matematiki im. S.L. Soboleva. Different︠s︡ialʹnye uravnenii︠a︡, funkt︠s︡ionalʹnye prostranstva, teorii︠a︡ priblizheniĭ: Mezhdunarodnai︠a︡ konferent︠s︡ii︠a︡, posvi︠a︡shchennai︠a︡ 100-letii︠u︡ so dni︠a︡ rozhdenii︠a︡ Sergei︠a︡ Lʹvovicha Soboleva, Novosibirsk, Rossii︠a︡, 5-12 okti︠a︡bri︠a︡ 2008 g. : tezisy dokladov. Novosibirsk: In-t matematiki SO RAN, 2008.

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21

K, Dixon. The finance function in local councils in New Zealand: An exploratory study. Palmerston North, N.Z: Dept. of Accountancy, Massey University, 1990.

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22

International Conference "Function spaces, approximation theory, and nonlinear analysis" (2005). Funkt︠s︡ionalʹnye prostranstva teorii︠a︡ priblizheniĭ nelineĭnyĭ analiz: Sbornik stateĭ. Moskva: Nauka, 2006.

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23

McMaster, Tom. Internal marketing planning for a service function within a local authority. Salford: University of Salford, 1992.

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24

Lawrence, Mark W. Photographic surveys: their function in and value to local studies departments. Loughborough: [Loughborough University], 1987.

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25

United States. National Aeronautics and Space Administration., ed. Comparison of dynamical approximation schemes for non-linear gravitational clustering. [Washington, D.C: National Aeronautics and Space Administration, 1995.

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26

Spooner, Paul. A strategic management approach to the economic development function of local authorities. Leicester: Leicester Polytechnic, 1986.

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27

Municipalities, Council of European, ed. Local taxes in Europe: An analysis of how they function : Amsterdam, 7 September 1984 : compendium of documents. Amsterdam: International Bureau of Fiscal Documentation, 1985.

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28

Jones, Rowan. The history of the financial control function of local government accounting in the United Kingdom. New York: Garland, 1992.

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29

Institue of Public Relations. Local Government Group. Public relations in local government: A memorandum on the function, duties and organisation of public relations in local government. London: Institute of Public Relations, 1986.

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30

Board, Local Government Management. Planning staffs survey: 1992 : employment profile of the planning function in local government. London: Local Government Management Board, 1992.

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31

Hallerbach, Winfried G. A simple approximation to the normal distribution function with an application to the Black & Scholes option pricing model. Rotterdam, Netherlands: Rotterdam Institute for Business Economic Studies, Erasmus Universiteit, 1994.

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32

Competition in the provision of local public goods: Single function jurisdictions and individual choice. North Hampton, MA: Edward Elgar, 2005.

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33

Höper, J. Influence of local oxygen deficiency on function and integrity of liver, kidney, and heart. Stuttgart: G. Fischer, 1991.

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34

Jones, Rowan. The history of the financial control function of local government accounting in the United Kingdom. New York: Garland, 1991.

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35

Gottlieb, David. On the Gibbs phenomenon V: Recovering exponential accuracy from collocation point values of a piecewise analyytic function. Hampton, Va: Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1994.

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36

Great Britain. Office of the Deputy Prime Minister., ed. General power for local authorities to trade in function related activities through a company: Guidance on the power in the Local Government Act 2003. London: Office of the Deputy Prime Minister, 2004.

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37

Florida Advisory Council on Intergovernmental Relations., ed. Local government function and formation in the service delivery arena: Review of relevant research and law. [Tallahassee, Fla.]: The Council, 1995.

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38

Funaro, Daniele. Convergence results for pseudospectral approximations of hyperbolic systems by a penalty type boundary treatment. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1989.

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39

Funaro, Daniele. Convergence results for pseudospectral approximations of hyperbolic systems by a penalty type boundary treatment. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1989.

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40

Teasdale, Jonathan. Human Rights Act 98: The planning function of local authorities : implications arising from the Human Rights Act 1998. London: Local Government Information Unit, 1999.

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41

Tim, Lynam, ed. Assessment of the value of woodland landscape function to local communities in Gorongosa and Muanza Districts, Sofala Province, Mozambique. Bogor, Indonesia: CIFOR, 2003.

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42

Hacienda, Bolivia Ministerio de. Directrices especificas para la elaboración del programa de operaciones anual y formulación del presupuesto para las municipalidades del pais: Gestión 2006. La Paz, Bolivia: Ministerio de Hacienda, Viceministerio de Presupuesto y Contaduría, 2005.

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43

Shi, Chenyang. Local structure and lattice dynamics study of low dimensional materials using atomic pair distribution function and high energy resolution inelastic x-ray scattering. [New York, N.Y.?]: [publisher not identified], 2015.

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44

Local Structural Insights into Exotic Electronic States in 𝓭- and 𝑓-Electron Oxides with Joint Neutron and X-ray Pair Distribution Function Analysis. [New York, N.Y.?]: [publisher not identified], 2021.

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45

Horing, Norman J. Morgenstern. Random Phase Approximation Plasma Phenomenology, Semiclassical and Hydrodynamic Models; Electrodynamics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198791942.003.0010.

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Chapter 10 reviews both homogeneous and inhomogeneous quantum plasma dielectric response phenomenology starting with the RPA polarizability ring diagram in terms of thermal Green’s functions, also energy eigenfunctions. The homogeneous dynamic, non-local inverse dielectric screening functions (K) are exhibited for 3D, 2D, and 1D, encompassing the non-local plasmon spectra and static shielding (e.g. Friedel oscillations and Debye-Thomas-Fermi shielding). The role of a quantizing magnetic field in K is reviewed. Analytically simpler models are described: the semiclassical and classical limits and the hydrodynamic model, including surface plasmons. Exchange and correlation energies are discussed. The van der Waals interaction of two neutral polarizable systems (e.g. physisorption) is described by their individual two-particle Green’s functions: It devolves upon the role of the dynamic, non-local plasma image potential due to screening. The inverse dielectric screening function K also plays a central role in energy loss spectroscopy. Chapter 10 introduces electromagnetic dyadic Green’s functions and the inverse dielectric tensor; also the RPA dynamic, non-local conductivity tensor with application to a planar quantum well. Kramers–Krönig relations are discussed. Determination of electromagnetic response of a compound nanostructure system having several nanostructured parts is discussed, with applications to a quantum well in bulk plasma and also to a superlattice, resulting in coupled plasmon spectra and polaritons.
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46

Boudreau, Joseph F., and Eric S. Swanson. Quantum mechanics II–many body systems. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198708636.003.0023.

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Chapter 23 develops formalism relevant to atomic and molecular electronic structure. A review of the product Ansatz, the Slater determinant, and atomic configurations is followed by applications to small atoms. Then the self-consistent Hartree-Fock method is introduced and applied to larger atoms. Molecular structure is addressed by introducing an adiabatic separation of scales and the construction of molecular orbitals. The use of specialized bases for molecular computations is also discussed. Density functional theory and its application to complicated molecules is introduced and the local density approximation and the Kohn-Sham procedure for solving the functional equations are explained. Techniques for moving beyond the local density approximation are briefly reviewed.
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47

Function Approximation And Classification. Springer, 2009.

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48

Natanson. Constructive Function Theory (Uniform Approximation). Ungar Pub Co, 1985.

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49

Natanson. Constructive Function Theory (Approximation in Mean). Ungar Pub Co, 1985.

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50

Statistical Modeling Using Local Gaussian Approximation. Elsevier, 2022. http://dx.doi.org/10.1016/c2017-0-02646-0.

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