Books on the topic 'Fredholm theory'

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1

Fredholm theory in Banach spaces =: Theori Fredholm yng ngofodau Banach. Cambridge: Cambridge University Press, 1986.

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2

Hofer, Helmut, Krzysztof Wysocki, and Eduard Zehnder. Polyfold and Fredholm Theory. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-78007-4.

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3

Aiena, Pietro. Fredholm and Local Spectral Theory II. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-02266-2.

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4

Carey, Alan, and Galina Levitina. Index Theory Beyond the Fredholm Case. Cham: Springer Nature Switzerland, 2022. http://dx.doi.org/10.1007/978-3-031-19436-8.

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5

Operator theory and arithmetic in H [infinity]. Providence, R.I: American Mathematical Society, 1988.

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6

I͡Anushauskas, Alʹgimantas Ionosovich. The oblique derivative problem of potential theory. New York: Consultants Bureau, 1989.

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7

service), SpringerLink (Online, ed. Elliptic Partial Differential Equations: Volume 1: Fredholm Theory of Elliptic Problems in Unbounded Domains. Basel: Springer Basel AG, 2011.

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8

Ziltener, Fabian. A quantum Kirwan map: Bubbling and Fredholm theory for symplectic vortices over the plane. Providence, Rhode Island: American Mathematical Society, 2014.

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9

1941-, Booss Bernhelm, Grubb Gerd, and Wojciechowski Krzysztof P. 1953-, eds. Spectral geometry of manifolds with boundary and decomposition of manifolds: Proceedings of the Workshop on Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds, Roskilde University, Roskilde, Denmark, August 6-9, 2003. Providence, R.I: American Mathematical Society, 2005.

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10

1973-, Lindner Marko, ed. Limit operators, collective compactness, and the spectral theory of infinite matrices. Providence, R.I: American Mathematical Society, 2010.

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11

Fitzpatrick, Patrick. Orientation and the Leray-Schauder theory for fully nonlinear elliptic boundary value problems. Providence, R.I: American Mathematical Society, 1993.

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12

G, Samko S., ed. Equations with involutive operators. Boston: Birkhäuser, 2001.

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13

Dales, H. G. Introduction to Banach algebras, operators, and harmonic analysis. Cambridge, U.K: Cambridge University Press, 2003.

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14

Roe, John. Winding around: The winding number in topology, geometry, and analysis. Providence, Rhode Island: American Mathematical Society, 2015.

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15

Hofer, Helmut H. W. Polyfolds and Fredholm Theory. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198784913.003.0004.

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This paper is based on a lecture given at the Clay Mathematics Institute in 2088, but has been rewritten to take account of recent developments. It focuses on a special case of the theory of Fredholm theory in polyfolds, which allows for boundaries with corners, it focuses on a special and illustrates it with a discussion of stable maps, a topic closely related to Gromov-Witten theory.
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16

Zehnder, Eduard, Helmut Hofer, and Krzysztof Wysocki. Polyfold and Fredholm Theory. Springer International Publishing AG, 2021.

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17

Ruston, Anthony Francis. Fredholm Theory in Banach Spaces. Cambridge University Press, 2011.

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18

Ruston, Anthony Francis. Fredholm Theory in Banach Spaces. Cambridge University Press, 2009.

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19

Levitina, Galina, and Alan Carey. Index Theory Beyond the Fredholm Case. Springer, 2022.

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20

Silbermann, Bernd, Steffen Roch, and Vladimir Rabinovich. Limit Operators and Their Applications in Operator Theory (Operator Theory: Advances and Applications). Birkhäuser Basel, 2004.

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21

Aiena, Pietro. Fredholm and Local Spectral Theory, with Applications to Multipliers. Springer, 2004.

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22

Aiena, Pietro. Fredholm and Local Spectral Theory, with Applications to Multipliers. Springer London, Limited, 2007.

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23

Aiena, Pietro. Fredholm and Local Spectral Theory, with Applications to Multipliers. Springer, 2010.

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24

Fredholm and Local Spectral Theory, with Applications to Multipliers. Dordrecht: Kluwer Academic Publishers, 2004. http://dx.doi.org/10.1007/1-4020-2525-4.

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25

Ruston, Anthony Francis. Fredholm Theory in Banach Spaces (Cambridge Tracts in Mathematics). Cambridge University Press, 2004.

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26

Limit Operators and Their Applications in Operator Theory. Springer Basel AG, 2012.

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27

Silbermann, Bernd, Steffen Roch, and Vladimir Rabinovich. Limit Operators and Their Applications in Operator Theory. Birkhauser Verlag, 2012.

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28

Aiena, Pietro. Fredholm and Local Spectral Theory II: With Application to Weyl-type Theorems. Springer, 2018.

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29

Samoilenko, A. M., and A. A. Boichuk. Generalized Inverse Operators and Fredholm Boundary-Value Problems. Brill Academic Publishers, 2004.

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30

Boichuk, A. A., and Anatolii M. Samoilenko. Generalized Inverse Operators and Fredholm Boundary-Value Problems. de Gruyter GmbH, Walter, 2012.

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31

Groetsch, Charles W. Theory of Tikhonov Regularization for Fredholm Equations of the First Kind. Wiley & Sons, Incorporated, John, 1986.

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32

Volpert, Vitaly. Elliptic Partial Differential Equations : Volume 1: Fredholm Theory of Elliptic Problems in Unbounded Domains. Birkhäuser, 2013.

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33

The Oblique Derivative Problem of Potential Theory (Monographs in Contemporary Mathematics). Springer, 1989.

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34

Equations with Involutive Operators. Birkhäuser, 2012.

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35

Samko, Stefan, and Nikolai Karapetiants. Equations with Involutive Operators. Birkhäuser Boston, 2001.

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36

Samko, Stefan, and Nikolai Karapetiants. Equations with Involutive Operators. Birkhauser, 2012.

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37

Kanzieper, Eugene. Painlevé transcendents. Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.9.

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This article discusses the history and modern theory of Painlevé transcendents, with particular emphasis on the Riemann–Hilbert method. In random matrix theory (RMT), the Painlevé equations describe either the eigenvalue distribution functions in the classical ensembles for finite N or the universal eigenvalue distribution functions in the large N limit. This article examines the latter. It first considers the main features of the Riemann–Hilbert method in the theory of Painlevé equations using the second Painlevé equation as a case study before analysing the two most celebrated universal distribution functions of RMT in terms of the Painlevé transcendents using the theory of integrable Fredholm operators as well as the Riemann–Hilbert technique: the sine kernel and the Airy kernel determinants.
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38

Dyson, Freeman. Spectral statistics of unitary ensembles. Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.4.

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This article focuses on the use of the orthogonal polynomial method for computing correlation functions, cluster functions, gap probability, Janossy density, and spacing distributions for the eigenvalues of matrix ensembles with unitary-invariant probability law. It first considers the classical families of orthogonal polynomials (Hermite, Laguerre, and Jacobi) and some corresponding unitary ensembles before discussing the statistical properties of N-tuples of real numbers. It then reviews the definitions of basic statistical quantities and demonstrates how their distributions can be made explicit in terms of orthogonal polynomials. It also describes the k-point correlation function, Fredholm determinants of finite-rank kernels, and resolvent kernels.
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