Inverse spectral results on even dimensional tori - Zurich Open Rep...
... genericity condition, we show that if the connection is invariant under the isometry of M defined by the map ... Laplacian defined by a connection on a line bundle over a flat torus determines neither the isometry class ... potential Q. With a genericity condition, we show that if the connection is invariant under the isometry of ... determines neither the isometry class of the torus nor the Chern class of the line bundle. In arbitrary ...
Überblick über die Bandrekonstruktion bei Hund und Katze - Zurich O...
... coaptation. However, perfect isometry throughout the full range of motion of a joint can never be achieved ... postoperative coaptation. However, perfect isometry throughout the full range of motion of a joint can never be ... coaptation. However, perfect isometry throughout the full range of motion of a joint can never be achieved ... postoperative coaptation. However, perfect isometry throughout the full range of motion of a joint can never be ...
A neural code that is isometric to vocal output and correlates with...
... identify a local isometry between NIf output and vocalizations: quasi-identical notes produced in different ... of auditory feedback. We identify a local isometry between NIf output and vocalizations: quasi ... of auditory feedback. We identify a local isometry between NIf output and vocalizations: quasi ... of milliseconds and are insensitive to distortions of auditory feedback. We identify a local isometry ...
The hyperbolic dimension of metric spaces - Zurich Open Repository ...
... Mathematical Journal, 19(1):67-76. Copy Abstract We introduce a new quasi- isometry invariant of metric spaces ... stabilized by any Euclidean factor. Abstract We introduce a new quasi- isometry invariant of metric spaces ... . Petersburg Mathematical Journal, 19(1):67-76. Copy Abstract We introduce a new quasi- isometry invariant of ... product of metric trees stabilized by any Euclidean factor. Abstract We introduce a new quasi- isometry ...
Hyperbolic rank and subexponential corank of metric spaces - Zurich...
... . Geometric and Functional Analysis, 12(2):293-306. Copy Abstract We introduce a new quasi- isometry invariant ... hyperbolic space H n with n – 1 > dim X – rank X. Abstract We introduce a new quasi- isometry invariant corank ... Abstract We introduce a new quasi- isometry invariant corank X of a metric space X called subexponential ... . Abstract We introduce a new quasi- isometry invariant corank X of a metric space X called subexponential ...
https://www.mins.ee.ethz.ch/teaching/MoI/notes/MoI_Lecture_Notes-20...
... restricted isometry properly M . - no . of measurements S - - -sparsity here 2 . M L slog n f. FRI 3 . MLS ... . ambient space ? (3) =c :D] Restricted isometry property ( proof is mechanical ) Def -7.1 . For each ... restricted isometry properly M . - no . of measurements S - - -sparsity here 2 . M L slog n f. FRI 3 . MLS ... . ambient space ? (3) =c :D] Restricted isometry property ( proof is mechanical ) Def -7.1 . For each ...
https://www.mins.ee.ethz.ch/teaching/MoI/handouts/exam_20-21.pdf
... ., ‖AHT AS‖2 := max u∈C|S| ‖u‖2≤1 ‖(AHT AS)u‖2. (b) (6 points) Recall that the s-restricted isometry ... restricted isometry constant δs of A can equivalently be expressed as δs = max S⊂{1,...,N},|S|≤s ‖AHS AS − I ... ., ‖AHT AS‖2 := max u∈C|S| ‖u‖2≤1 ‖(AHT AS)u‖2. (b) (6 points) Recall that the s-restricted isometry ... restricted isometry constant δs of A can equivalently be expressed as δs = max S⊂{1,...,N},|S|≤s ‖AHS AS − I ...
https://www.mins.ee.ethz.ch/teaching/MoI/hw/hw1.pdf
... ) Show that y is the unique element in S such that (x− y) ∈ S⊥ . Problem 6 A surjective linear isometry ... is unitary. KK Let H be a real Hilbert space and T : H → H a surjective linear isometry. By applying ... ) Show that y is the unique element in S such that (x− y) ∈ S⊥ . Problem 6 A surjective linear isometry ... is unitary. KK Let H be a real Hilbert space and T : H → H a surjective linear isometry. By applying ...
https://people.math.ethz.ch/~kowalske/bounds-orthonormal-basis.pdf
... all y ∈ Y . Using an arbitrary bijection σ : Y → Z/|Y |Z, such that y0 7→ 0, we derive an isometry ... density, we simply consider the obvious isometry { L2(Y, ν)→ L2(Y, νu) f 7→ f√|Y |ν If we take an ... all y ∈ Y . Using an arbitrary bijection σ : Y → Z/|Y |Z, such that y0 7→ 0, we derive an isometry ... density, we simply consider the obvious isometry { L2(Y, ν)→ L2(Y, νu) f 7→ f√|Y |ν If we take an ...
https://www.mins.ee.ethz.ch/teaching/MoI/hw/hw1sol.pdf
... = y2. Problem 6 A surjective linear isometry is unitary. Let H be a real Hilbert space and T : H → H a ... surjective linear isometry. For x, y ∈ H, we use the linearity of T and the polarization identity to obtain ... = y2. Problem 6 A surjective linear isometry is unitary. Let H be a real Hilbert space and T : H → H a ... surjective linear isometry. For x, y ∈ H, we use the linearity of T and the polarization identity to obtain ...
