Operator theory. With 51 figures and 2 tables. In 2 volumes. (English) Zbl 1325.47001
Springer Reference. Basel: Springer (ISBN 978-3-0348-0666-4/print; 978-3-0348-0667-1/ebook; 978-3-0348-0668-8/print+ebook; 978-3-0348-0692-3/online (updated continuously)). xix, 1860 p. (2015).
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The articles of this volume will be reviewed individually.Indexed articles:
Szafraniec, Franciszek Hugon, The reproducing kernel property and its space: the basics, 3-30 [Zbl 1342.46026]
Szafraniec, Franciszek Hugon, The reproducing kernel property and its space: more or less standard examples of applications, 31-58 [Zbl 1342.46027]
Agler, Jim; McCarthy, John E., The use of kernel functions in solving the Pick interpolation problem, 59-71 [Zbl 1359.47011]
Kosiński, Łukasz; Zwonek, Włodzimierz, Bergman kernel in complex analysis, 73-86 [Zbl 1330.32002]
García, Antonio G., Sampling theory and reproducing kernel Hilbert spaces, 87-110 [Zbl 1343.94029]
Ali, Syed Twareque, Reproducing kernels in coherent states, wavelets, and quantization, 111-125 [Zbl 1343.47084]
Beltiţǎ, Daniel; Galé, José E., Geometric perspectives on reproducing kernels, 127-148 [Zbl 1347.46019]
Wietsma, Hendrik Luit, Multi-valued operators/linear relations between Kreĭn spaces, 151-163 [Zbl 1335.47003]
Wietsma, Hendrik Luit, Symmetric and isometric relations, 165-182 [Zbl 1342.47003]
Derkach, Vladimir, Boundary triplets, Weyl functions, and the Kreĭn formula, 183-218 [Zbl 1347.47015]
Dritschel, Michael, Contractions and the commutant lifting theorem in Kreĭn spaces, 219-239 [Zbl 1361.47003]
Trunk, Carsten, Locally definitizable operators: the local structure of the spectrum, 241-259 [Zbl 1422.47046]
Dijksma, Aad, Schur analysis in an indefinite setting, 261-310 [Zbl 1347.47023]
Gheondea, Aurelian, Reproducing kernel Kreĭn spaces, 311-343 [Zbl 1347.46020]
Luger, Annemarie, Generalized Nevanlinna functions: operator representations, asymptotic behavior, 345-371 [Zbl 1348.47010]
Kaltenbäck, Michael, Indefinite Hamiltonians, 373-394 [Zbl 1338.47124]
Fleige, Andreas, The critical point infinity associated with indefinite Sturm-Liouville problems, 395-429 [Zbl 1367.47047]
Mehl, Christian, Finite-dimensional indefinite inner product spaces and applications in numerical analysis, 431-449 [Zbl 1335.47024]
Ran, André C. M., The algebraic Riccati equation and its role in indefinite inner product spaces, 451-469 [Zbl 1335.47009]
Rovnyak, James, Hilbert spaces of entire functions: early history, 473-487 [Zbl 1337.47019]
Woracek, Harald, De Branges spaces and growth aspects, 489-523 [Zbl 1347.46022]
Winkler, Henrik, Two-dimensional Hamiltonian systems, 525-547 [Zbl 1337.47113]
Silva, Luis O.; Toloza, Julio H., De Branges spaces and Kreĭn’s theory of entire operators, 549-580 [Zbl 1339.47027]
Belov, Yurii; Havin, Victor, The Beurling-Malliavin multiplier theorem and its analogs for the de Branges spaces, 581-607 [Zbl 1344.42001]
Romanov, Roman, Jacobi matrices and de Branges spaces, 609-621 [Zbl 1336.47032]
Remling, Christian, Schrödinger operators and canonical systems, 623-630 [Zbl 1394.47074]
Ball, Joseph A.; Bolotnikov, Vladimir, De Branges-Rovnyak spaces: basics and theory, 631-679 [Zbl 1347.46018]
Ball, Joseph A.; Bolotnikov, Vladimir, De Branges-Rovnyak spaces and norm-constrained interpolation, 681-720 [Zbl 1342.47022]
Arov, Damir Z.; Dym, Harry, De Branges spaces of vector-valued functions, 721-752 [Zbl 1348.46031]
Arov, Damir Z.; Dym, Harry, Applications of de Branges spaces of vector-valued functions, 753-776 [Zbl 1348.46032]
Arlinskiĭ, Yury; Belyi, Sergey; Tsekanovskiĭ, Eduard, Realization of Herglotz-Nevanlinna functions by conservative systems, 779-809 [Zbl 1435.47020]
Feintuch, Avraham, Synchronization problems for spatially invariant infinite dimensional linear systems, 811-832 [Zbl 1485.47125]
Zayed, Ahmed I., Linear transformations in signal and optical systems, 833-874 [Zbl 1485.47126]
Diagana, Toka, Perturbations of unbounded Fredholm linear operators in Banach spaces, 875-880 [Zbl 1354.47014]
Sasane, Amol, Robust stabilization of linear control systems using a frequency domain approach, 881-900 [Zbl 1353.93076]
Dewilde, Patrick; Van der Veen, Alle-Jan, Semi- and quasi-separable systems, 901-930 [Zbl 1339.47016]
Regalia, Phillip A., Basics of secrecy coding, 931-966 [Zbl 1342.47089]
Sarkar, Jaydeb, An introduction to Hilbert module approach to multivariable operator theory, 969-1033 [Zbl 1372.47008]
Sarkar, Jaydeb, Applications of Hilbert module approach to multivariable operator theory, 1035-1091 [Zbl 1346.47004]
Ambrozie, Caline; Müller, Vladimír, Commutative dilation theory, 1093-1124 [Zbl 1347.47004]
Shalit, Orr, Operator theory and function theory in Drury-Arveson space and its quotients, 1125-1180 [Zbl 1344.47002]
Müller, Vladimír, Taylor functional calculus, 1181-1215 [Zbl 1408.47004]
Jorgensen, Palle E. T.; Tian, Feng, Unbounded operators, Lie algebras, and local representations, 1221-1243 [Zbl 1334.47071]
Cho, Ilwoo; Jorgensen, Palle E. T., Arithmetic functions in harmonic analysis and operator theory, 1245-1284 [Zbl 1342.47055]
Cho, Ilwoo; Jorgensen, Palle E. T., A von Neumann algebra over the adèle ring and the Euler totient function, 1285-1335 [Zbl 1346.46057]
Sommen, Frank; De Schepper, Hennie, Introductory Clifford analysis, 1339-1367 [Zbl 1330.30008]
Gürlebeck, Klaus; Sprößig, Wolfgang, Quaternionic analysis: application to boundary value problems, 1369-1391 [Zbl 1330.30003]
Martin, Mircea, Function spaces in quaternionic and Clifford analysis, 1393-1422 [Zbl 1348.46028]
Shapiro, Michael, Quaternionic analysis and some conventional theories, 1423-1446 [Zbl 1330.30007]
Abreu-Blaya, Ricardo; Bory-Reyes, Juan, Quaternionic and Clifford analysis for non-smooth domains, 1447-1470 [Zbl 1330.30002]
Eelbode, David, Clifford analysis for higher spin operators, 1471-1490 [Zbl 1330.30044]
Qian, Tao, Fueter mapping theorem in hypercomplex analysis, 1491-1507 [Zbl 1330.30005]
Souček, Vladimír, Representation theory in Clifford analysis, 1509-1547 [Zbl 1330.30009]
Struppa, Daniele C., Quaternionic and Clifford analysis in several variables, 1549-1578 [Zbl 1330.30010]
Sabadini, Irene; Sommen, Frank, Hermitian Clifford analysis, 1581-1608 [Zbl 1330.30006]
Kähler, Uwe; Sommen, Frank, Discrete Clifford analysis, 1609-1630 [Zbl 1330.30004]
Struppa, Daniele C., Slice hyperholomorphic functions with values in some real algebras, 1631-1650 [Zbl 1330.30011]
De Bie, Hendrik, Fourier transforms in Clifford analysis, 1651-1672 [Zbl 1329.42009]
Bernstein, Swanhild, Wavelets in Clifford analysis, 1673-1699 [Zbl 1329.42033]
Cerejeiras, Paula; Kähler, Uwe, Monogenic signal theory, 1701-1724 [Zbl 1343.94022]
Luna-Elizarrarás, Maria Elena; Shapiro, Michael, Some peculiarities of quaternionic linear spaces, 1725-1743 [Zbl 1336.46010]
Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene, Schur analysis in the quaternionic setting: the Fueter regular and the slice regular case, 1745-1786 [Zbl 1337.47015]
Colombo, Fabrizio; Sabadini, Irene, Slice hyperholomorphic functional calculi, 1787-1821 [Zbl 1334.47018]
Jefferies, Brian, The monogenic functional calculus, 1823-1851 [Zbl 1334.47019]
MSC:
47-00 | General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to operator theory |
47B32 | Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) |
47B34 | Kernel operators |
47A57 | Linear operator methods in interpolation, moment and extension problems |
30G35 | Functions of hypercomplex variables and generalized variables |
93C05 | Linear systems in control theory |
00B15 | Collections of articles of miscellaneous specific interest |