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Showing 1 to 20 of 485 for “"unitary"”.
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Analytic Unitary Operators
… the operators of this form are called analytic unitary operators. These operators form a group, which is denoted by OU(,S) and is a proper subgroup of the group U of unitary operators on H('2). The main objective of this work is to investigate operators in OU(,S).
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Weil Representations of Unitary Groups
… degree of r. Whatever the case, let Um(A) be the unitary group of rank m over A associated to a nondegenerate hermitian or skew-hermitian form h relative to . Specifically, in order to obtain an imbedding of Um(A) into a suitable symplectic group over R, we take h to be skew-hermitian in all cases …
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Quantum artificial intelligence : learning unitary transformations
… landscape of matrices studied in linear algebra, unitary matrices stand apart for their special properties, namely that they preserve norms and have easy to calculate inverses. Interpreted from an algorithmic or control setting, unitary matrices are used to describe and manipulate many physical …
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Arithmetic inner product formula for unitary groups
… of cuspidal automorphic representations for unitary groups of even variables defined over a totally real number field, and their relation with the canonical height of special cycles on Shimura varieties attached to unitary groups of the same size. We formulate a precise conjecture about an …
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Automorphisms of the Projective Unimodular Unitary Group
Made available in DSpace on 2014-12-09T22:17:30Z (GMT). No. of bitstreams: 1 6612290.pdf: 3582019 bytes, checksum: 9d6e5b88d085280e6d44ed996bc7b3bf (MD5) Previous issue date: 1966
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On unitary representations with regular infinitesimal character
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1986.
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Germ expansion, endoscopic transfer, and unitary periods
… proof of the endoscopic fundamental lemma for unitary groups (theorem of Laumon and Ngo). For the second, we establish a new relative trace formula comparison conjectured by Jacquet that can be used to study unitary periods.
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Beyond orthogonal calculus: the unitary and real cases
… construct new versions of orthogonal calculus, a unitary version which considers complex vector spaces, and a calculus with reality, an extension of the unitary calculus which takes into account the complex conjugation action on the complex vector spaces. These calculi produce Taylor towers …
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Non-selfadjoint operator algebras generated by unitary semigroups
… generated by the finite-rank operators, and its unitary automorphism group is R. Furthermore, the 8 choices of semigroup triples provide 2 unitary equivalence classes of operator algebras, with Aph and (Aph)∗ being chiral representatives. In chapter 4, we consider analogous operator norm closed …
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Universal quantum viscosity in a unitary Fermi gas.
Unitary Fermi gases, first observed by our group in 2002, have been widely studied as they provide model systems for tabletop research on a variety of strongly coupled systems, including the high temperature superconductors, quark-gluon plasmas and neutron stars. A two component6Li unitary Fermi …
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Automorphisms of the 4-Dimensional Unimodular Unitary Group
Made available in DSpace on 2014-12-09T22:17:43Z (GMT). No. of bitstreams: 1 6808225.pdf: 1791821 bytes, checksum: e9d2f17792e6e5f39fcd8bcbe5c23aa1 (MD5) Previous issue date: 1967
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Local Newforms and Spherical Characters for Unitary Groups
… representations of both even and odd dimensional unitary groups over p-adic fields. This definition is compatible with the one given by Atobe, Oi, and Yasuda in the odd dimensional case. Using the nonvanishing of the local spherical character at the test vector, we prove the existence of the …
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Automorphisms of the Four-Dimensional Projective Unimodular Unitary-Group
Made available in DSpace on 2014-12-11T18:23:59Z (GMT). No. of bitstreams: 1 7317575.pdf: 2790059 bytes, checksum: 9122493e361fde4bd362f2753b8b1646 (MD5) Previous issue date: 1973
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Unitary representations of rational Cherednik algebras and Hecke algebras
We begin the study of unitary representations in the lowest weight category of rational Cherednik algebras of complex reflection groups. We provide the complete classification of unitary representations for the symmetric group, the dihedral group, as well as some additional partial results. We also …
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First explicit reciprocity law for unitary Friedberg—Jacquet periods
… representations on a totally definite unitary group U(2r) over a CM field which are distinguished by the subgroup U(r) x U(r). We prove a new ``first explicit reciprocity law'' in this setting, which has applications to the rank 0 case of the corresponding Bloch--Kato conjecture.
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Unitary equivalence of spectral measures on a Baer -semigroup
… with a generalization of the concept of unitary equivalence of spectral measures on a Baer *-semigroup. A connection is made between abstract spectral measures, and three other distinct mathematical systems. Chapter II is devoted specifically to generalizing the concept of a spectral …
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The Unitary Executive and Power in the Modern American Presidency
… I examine the relationship between the unitary executive, in practice, and the power of presidents to control administrative policymaking. I begin with a theoretical discussion and practical definition of presidential power. I define power as the degree to which a president has …
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A Characterization of the Four-Dimensional Projective Unimodular Unitary Groups
Made available in DSpace on 2014-12-14T13:09:25Z (GMT). No. of bitstreams: 1 7524378.pdf: 2377159 bytes, checksum: d88b95a50494224cd5d6d59a9ac1a500 (MD5) Previous issue date: 1975
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A new class of optimal unitary transforms for image processing
Thesis (Elect. E.)--Massachusetts Institute of Technology, Dept. of Electrical Engieering and Computer Science, 1985.
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